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21122068254 = 2376111372959
BaseRepresentation
bin10011101010111110…
…010010111100011110
32000112000220020112020
4103222332102330132
5321224222141004
613411531121010
71345265421630
oct235276227436
960460806466
1021122068254
118a59947561
1241158a3166
131cb7cb4251
14104532aa50
158395108d9
hex4eaf92f1e

21122068254 has 64 divisors (see below), whose sum is σ = 49505402880. Its totient is φ = 5883333120.

The previous prime is 21122068237. The next prime is 21122068321. The reversal of 21122068254 is 45286022112.

It is a super-2 number, since 2×211220682542 (a number of 21 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 253027 + ... + 325985.

It is an arithmetic number, because the mean of its divisors is an integer number (773521920).

Almost surely, 221122068254 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21122068254, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24752701440).

21122068254 is an abundant number, since it is smaller than the sum of its proper divisors (28383334626).

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

21122068254 is a wasteful number, since it uses less digits than its factorization.

21122068254 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73145.

The product of its (nonzero) digits is 15360, while the sum is 33.

The spelling of 21122068254 in words is "twenty-one billion, one hundred twenty-two million, sixty-eight thousand, two hundred fifty-four".

Divisors: 1 2 3 6 7 14 21 42 61 113 122 183 226 339 366 427 678 791 854 1281 1582 2373 2562 4746 6893 13786 20679 41358 48251 72959 96502 144753 145918 218877 289506 437754 510713 1021426 1532139 3064278 4450499 8244367 8900998 13351497 16488734 24733101 26702994 31153493 49466202 57710569 62306986 93460479 115421138 173131707 186920958 346263414 502906387 1005812774 1508719161 3017438322 3520344709 7040689418 10561034127 21122068254