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21213114444 = 22327929325457
BaseRepresentation
bin10011110000011001…
…100111000001001100
32000202101012212102100
4103300121213001030
5321421024130234
613424542355100
71350452332464
oct236031470114
960671185370
1021213114444
118aa6282945
12414028ba90
132000b11432
14105346aba4
158424e7399
hex4f066704c

21213114444 has 72 divisors (see below), whose sum is σ = 54488266560. Its totient is φ = 6957430272.

The previous prime is 21213114443. The next prime is 21213114469. The reversal of 21213114444 is 44441131212.

21213114444 is a `hidden beast` number, since 2 + 1 + 213 + 1 + 1 + 4 + 444 = 666.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (21213114443) 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, 820564 + ... + 846020.

It is an arithmetic number, because the mean of its divisors is an integer number (756781480).

Almost surely, 221213114444 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 21213114444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27244133280).

21213114444 is an abundant number, since it is smaller than the sum of its proper divisors (33275152116).

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

21213114444 is a wasteful number, since it uses less digits than its factorization.

21213114444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25839 (or 25834 counting only the distinct ones).

The product of its digits is 3072, while the sum is 27.

Adding to 21213114444 its reverse (44441131212), we get a palindrome (65654245656).

The spelling of 21213114444 in words is "twenty-one billion, two hundred thirteen million, one hundred fourteen thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 79 158 237 293 316 474 586 711 879 948 1172 1422 1758 2637 2844 3516 5274 10548 23147 25457 46294 50914 69441 76371 92588 101828 138882 152742 208323 229113 277764 305484 416646 458226 833292 916452 2011103 4022206 6033309 7458901 8044412 12066618 14917802 18099927 22376703 24133236 29835604 36199854 44753406 67130109 72399708 89506812 134260218 268520436 589253179 1178506358 1767759537 2357012716 3535519074 5303278611 7071038148 10606557222 21213114444