Search a number
-
+
21003100101312 = 263715627306623
BaseRepresentation
bin1001100011010001010100…
…10100100001101011000000
32202100212200011021101122220
410301220222110201223000
510223103322111220222
6112400405130331040
74265265254140110
oct461505224415300
982325604241586
1021003100101312
116768401503a2a
12243265b889a80
13b94778911744
145287ac2c7040
15266513865b5c
hex131a2a521ac0

21003100101312 has 56 divisors (see below), whose sum is σ = 63509374119936. Its totient is φ = 6000885742848.

The previous prime is 21003100101311. The next prime is 21003100101323. The reversal of 21003100101312 is 21310100130012.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (56).

It is a super-2 number, since 2×210031001013122 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 21003100101291 and 21003100101300.

It is not an unprimeable number, because it can be changed into a prime (21003100101311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7813651968 + ... + 7813654655.

Almost surely, 221003100101312 is an apocalyptic number.

It is an amenable number.

21003100101312 is an abundant number, since it is smaller than the sum of its proper divisors (42506274018624).

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

21003100101312 is a wasteful number, since it uses less digits than its factorization.

21003100101312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15627306645 (or 15627306635 counting only the distinct ones).

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

Adding to 21003100101312 its reverse (21310100130012), we get a palindrome (42313200231324).

The spelling of 21003100101312 in words is "twenty-one trillion, three billion, one hundred million, one hundred one thousand, three hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 168 192 224 336 448 672 1344 15627306623 31254613246 46881919869 62509226492 93763839738 109391146361 125018452984 187527679476 218782292722 250036905968 328173439083 375055358952 437564585444 500073811936 656346878166 750110717904 875129170888 1000147623872 1312693756332 1500221435808 1750258341776 2625387512664 3000442871616 3500516683552 5250775025328 7001033367104 10501550050656 21003100101312