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21121312104 = 2332293351557
BaseRepresentation
bin10011101010111011…
…011010010101101000
32000111222110211021200
4103222323122111220
5321224023441404
613411503004200
71345256122254
oct235273322550
960458424250
1021121312104
118a59480442
124115599660
131cb7aab019
1410451b1264
15839411839
hex4eaeda568

21121312104 has 24 divisors (see below), whose sum is σ = 57203553810. Its totient is φ = 7040437344.

The previous prime is 21121312097. The next prime is 21121312123. The reversal of 21121312104 is 40121312112.

It can be written as a sum of positive squares in only one way, i.e., 14769540900 + 6351771204 = 121530^2 + 79698^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×211213121042 (a number of 21 digits) contains 22 as substring.

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

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 5 ways as a sum of consecutive naturals, for example, 146675707 + ... + 146675850.

Almost surely, 221121312104 is an apocalyptic number.

21121312104 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

21121312104 is an abundant number, since it is smaller than the sum of its proper divisors (36082241706).

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

21121312104 is a wasteful number, since it uses less digits than its factorization.

21121312104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 293351569 (or 293351562 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 21121312104 its reverse (40121312112), we get a palindrome (61242624216).

The spelling of 21121312104 in words is "twenty-one billion, one hundred twenty-one million, three hundred twelve thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 293351557 586703114 880054671 1173406228 1760109342 2346812456 2640164013 3520218684 5280328026 7040437368 10560656052 21121312104