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100031232103002 = 232172911272394873
BaseRepresentation
bin10110101111101001010110…
…000011100101001001011010
3111010011220002120000202020100
4112233221112003211021122
5101102402430404244002
6552425414051040230
730033006116504154
oct2657512603451132
9433156076022210
10100031232103002
1129967009793452
12b2768812a0076
1343a7b9b862775
141a9b774b45ad4
15b8709667611c
hex5afa560e525a

100031232103002 has 48 divisors (see below), whose sum is σ = 237396636046440. Its totient is φ = 30300197415936.

The previous prime is 100031232103001. The next prime is 100031232103037. The reversal of 100031232103002 is 200301232130001.

100031232103002 is a `hidden beast` number, since 1 + 0 + 0 + 0 + 312 + 321 + 0 + 30 + 0 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 85164123290481 + 14867108812521 = 9228441^2 + 3855789^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (100031232103001) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5636188563 + ... + 5636206310.

Almost surely, 2100031232103002 is an apocalyptic number.

100031232103002 is an abundant number, since it is smaller than the sum of its proper divisors (137365403943438).

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

100031232103002 is a wasteful number, since it uses less digits than its factorization.

100031232103002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11272394927 (or 11272394924 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 100031232103002 its reverse (200301232130001), we get a palindrome (300332464233003).

The spelling of 100031232103002 in words is "one hundred trillion, thirty-one billion, two hundred thirty-two million, one hundred three thousand, two".

Divisors: 1 2 3 6 9 17 18 29 34 51 58 87 102 153 174 261 306 493 522 986 1479 2958 4437 8874 11272394873 22544789746 33817184619 67634369238 101451553857 191630712841 202903107714 326899451317 383261425682 574892138523 653798902634 980698353951 1149784277046 1724676415569 1961396707902 2942095061853 3449352831138 5557290672389 5884190123706 11114581344778 16671872017167 33343744034334 50015616051501 100031232103002