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30111012230100 = 223522111997238201
BaseRepresentation
bin1101101100010110001000…
…01100000001001111010100
310221121120210012210100111220
412312023010030001033110
512421314323112330400
6144012450312330340
76225306644645634
oct666130414011724
9127546705710456
1030111012230100
11965a01045866a
1234638710a39b0
1313a55c1568c79
14761548b826c4
153733cabbb7a0
hex1b62c43013d4

30111012230100 has 144 divisors (see below), whose sum is σ = 87578292505536. Its totient is φ = 7987512960000.

The previous prime is 30111012230017. The next prime is 30111012230119. The reversal of 30111012230100 is 103221011103.

It is a happy number.

It is a super-3 number, since 3×301110122301003 (a number of 41 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 30111012230100.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 126291000 + ... + 126529200.

It is an arithmetic number, because the mean of its divisors is an integer number (608182586844).

Almost surely, 230111012230100 is an apocalyptic number.

30111012230100 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30111012230100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43789146252768).

30111012230100 is an abundant number, since it is smaller than the sum of its proper divisors (57467280275436).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

30111012230100 is a wasteful number, since it uses less digits than its factorization.

30111012230100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240426 (or 240419 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 30111012230100 its reverse (103221011103), we get a palindrome (30214233241203).

The spelling of 30111012230100 in words is "thirty trillion, one hundred eleven billion, twelve million, two hundred thirty thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 211 300 422 633 844 1055 1266 1997 2110 2532 3165 3994 4220 5275 5991 6330 7988 9985 10550 11982 12660 15825 19970 21100 23964 29955 31650 39940 49925 59910 63300 99850 119820 149775 199700 238201 299550 421367 476402 599100 714603 842734 952804 1191005 1264101 1429206 1685468 2106835 2382010 2528202 2858412 3573015 4213670 4764020 5056404 5955025 6320505 7146030 8427340 10534175 11910050 12641010 14292060 17865075 21068350 23820100 25282020 31602525 35730150 42136700 50260411 63205050 71460300 100520822 126410100 150781233 201041644 251302055 301562466 475687397 502604110 603124932 753906165 951374794 1005208220 1256510275 1427062191 1507812330 1902749588 2378436985 2513020550 2854124382 3015624660 3769530825 4756873970 5026041100 5708248764 7135310955 7539061650 9513747940 11892184925 14270621910 15078123300 23784369850 28541243820 35676554775 47568739700 71353109550 100370040767 142706219100 200740081534 301110122301 401480163068 501850203835 602220244602 1003700407670 1204440489204 1505550611505 2007400815340 2509251019175 3011101223010 5018502038350 6022202446020 7527753057525 10037004076700 15055506115050 30111012230100