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10100110120002 = 23271719248172149
BaseRepresentation
bin1001001011111001110101…
…1110011101010001000010
31022202120011001002021022200
42102332131132131101002
52310440011142320002
633251532044214030
72061465100334340
oct222763536352102
938676131067280
1010100110120002
113244483942991
12117157653a316
13583589712b16
1426cbc2a56990
15127ad8b80b1c
hex92f9d79d442

10100110120002 has 96 divisors (see below), whose sum is σ = 27874695888000. Its totient is φ = 2573048830464.

The previous prime is 10100110119929. The next prime is 10100110120033. The reversal of 10100110120002 is 20002101100101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 124045377 + ... + 124126772.

It is an arithmetic number, because the mean of its divisors is an integer number (290361415500).

Almost surely, 210100110120002 is an apocalyptic number.

10100110120002 is an abundant number, since it is smaller than the sum of its proper divisors (17774585767998).

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

10100110120002 is a wasteful number, since it uses less digits than its factorization.

10100110120002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248172200 (or 248172197 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 10100110120002 its reverse (20002101100101), we get a palindrome (30102211220103).

The spelling of 10100110120002 in words is "ten trillion, one hundred billion, one hundred ten million, one hundred twenty thousand, two".

Divisors: 1 2 3 6 7 9 14 17 18 19 21 34 38 42 51 57 63 102 114 119 126 133 153 171 238 266 306 323 342 357 399 646 714 798 969 1071 1197 1938 2142 2261 2394 2907 4522 5814 6783 13566 20349 40698 248172149 496344298 744516447 1489032894 1737205043 2233549341 3474410086 4218926533 4467098682 4715270831 5211615129 8437853066 9430541662 10423230258 12656779599 14145812493 15634845387 25313559198 28291624986 29532485731 31269690774 33006895817 37970338797 42437437479 59064971462 66013791634 75940677594 80159604127 84874874958 88597457193 99020687451 160319208254 177194914386 198041374902 240478812381 265792371579 297062062353 480957624762 531584743158 561117228889 594124124706 721436437143 1122234457778 1442872874286 1683351686667 3366703373334 5050055060001 10100110120002