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10101323100 = 223521110130307
BaseRepresentation
bin10010110100001010…
…11111010101011100
3222001222102101021210
421122011133111130
5131141414314400
64350202224420
7505214554401
oct113205372534
928058371253
1010101323100
114313a2a610
121b5aab5110
13c4c9a527b
146bb7ba2a8
153e1c24950
hex25a15f55c

10101323100 has 144 divisors (see below), whose sum is σ = 32200189056. Its totient is φ = 2424480000.

The previous prime is 10101323087. The next prime is 10101323117. The reversal of 10101323100 is 132310101.

It is a super-2 number, since 2×101013231002 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 318147 + ... + 348453.

It is an arithmetic number, because the mean of its divisors is an integer number (223612424).

Almost surely, 210101323100 is an apocalyptic number.

10101323100 is a gapful number since it is divisible by the number (10) 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 10101323100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16100094528).

10101323100 is an abundant number, since it is smaller than the sum of its proper divisors (22098865956).

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

10101323100 is a wasteful number, since it uses less digits than its factorization.

10101323100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30436 (or 30429 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 10101323100 its reverse (132310101), we get a palindrome (10233633201).

The spelling of 10101323100 in words is "ten billion, one hundred one million, three hundred twenty-three thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 75 100 101 110 132 150 165 202 220 275 300 303 330 404 505 550 606 660 825 1010 1100 1111 1212 1515 1650 2020 2222 2525 3030 3300 3333 4444 5050 5555 6060 6666 7575 10100 11110 13332 15150 16665 22220 27775 30300 30307 33330 55550 60614 66660 83325 90921 111100 121228 151535 166650 181842 303070 333300 333377 363684 454605 606140 666754 757675 909210 1000131 1333508 1515350 1666885 1818420 2000262 2273025 3030700 3061007 3333770 4000524 4546050 5000655 6122014 6667540 8334425 9092100 9183021 10001310 12244028 15305035 16668850 18366042 20002620 25003275 30610070 33337700 33671077 36732084 45915105 50006550 61220140 67342154 76525175 91830210 100013100 101013231 134684308 153050350 168355385 183660420 202026462 229575525 306100700 336710770 404052924 459151050 505066155 673421540 841776925 918302100 1010132310 1683553850 2020264620 2525330775 3367107700 5050661550 10101323100