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30100134314224 = 241310111631231981
BaseRepresentation
bin1101101100000001110111…
…10100000100000011110000
310221120112201010001222012201
412312000323310010003300
512421130033341023344
6144003451045032544
76224443250124322
oct666007364040360
9127515633058181
1030100134314224
119655439125447
1234617360b5754
1313a4579a18060
14760bd61b1612
15372e90be54d4
hex1b603bd040f0

30100134314224 has 80 divisors (see below), whose sum is σ = 63481509360864. Its totient is φ = 13742983296000.

The previous prime is 30100134314167. The next prime is 30100134314231. The reversal of 30100134314224 is 42241343100103.

It is a happy number.

It is a super-2 number, since 2×301001343142242 (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 30100134314192 and 30100134314201.

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 15 ways as a sum of consecutive naturals, for example, 23816314 + ... + 25048294.

Almost surely, 230100134314224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30100134314224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31740754680432).

30100134314224 is an abundant number, since it is smaller than the sum of its proper divisors (33381375046640).

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

30100134314224 is a wasteful number, since it uses less digits than its factorization.

30100134314224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1233266 (or 1233260 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 30100134314224 its reverse (42241343100103), we get a palindrome (72341477414327).

It can be divided in two parts, 3010013 and 4314224, that added together give a palindrome (7324237).

The spelling of 30100134314224 in words is "thirty trillion, one hundred billion, one hundred thirty-four million, three hundred fourteen thousand, two hundred twenty-four".

Divisors: 1 2 4 8 13 16 26 52 101 104 202 208 404 808 1163 1313 1616 2326 2626 4652 5252 9304 10504 15119 18608 21008 30238 60476 117463 120952 234926 241904 469852 939704 1231981 1527019 1879408 2463962 3054038 4927924 6108076 9855848 12216152 16015753 19711696 24432304 32031506 64063012 124430081 128126024 248860162 256252048 497720324 995440648 1432793903 1617591053 1990881296 2865587806 3235182106 5731175612 6470364212 11462351224 12940728424 18626320739 22924702448 25881456848 37252641478 74505282956 144712184203 149010565912 289424368406 298021131824 578848736812 1157697473624 1881258394639 2315394947248 3762516789278 7525033578556 15050067157112 30100134314224