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23002109312 = 277138092441
BaseRepresentation
bin10101011011000010…
…000101010110000000
32012101001112020000112
4111123002011112000
5334102014444222
614322251010452
71443004463120
oct253302052600
965331466015
1023002109312
1198341001a6
12455b439a28
13222764a290
141182cbac80
158e95c9be2
hex55b085580

23002109312 has 128 divisors (see below), whose sum is σ = 56492251200. Its totient is φ = 9084764160.

The previous prime is 23002109309. The next prime is 23002109323. The reversal of 23002109312 is 21390120032.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×230021093122 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9422012 + ... + 9424452.

Almost surely, 223002109312 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 23002109312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28246125600).

23002109312 is an abundant number, since it is smaller than the sum of its proper divisors (33490141888).

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

23002109312 is a wasteful number, since it uses less digits than its factorization.

23002109312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3284 (or 3272 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 23.

Adding to 23002109312 its reverse (21390120032), we get a palindrome (44392229344).

The spelling of 23002109312 in words is "twenty-three billion, two million, one hundred nine thousand, three hundred twelve".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 64 91 104 112 128 182 208 224 364 416 448 728 809 832 896 1456 1618 1664 2441 2912 3236 4882 5663 5824 6472 9764 10517 11326 11648 12944 17087 19528 21034 22652 25888 31733 34174 39056 42068 45304 51776 63466 68348 73619 78112 84136 90608 103552 126932 136696 147238 156224 168272 181216 222131 253864 273392 294476 312448 336544 362432 444262 507728 546784 588952 673088 724864 888524 1015456 1093568 1177904 1346176 1777048 1974769 2030912 2187136 2355808 3554096 3949538 4061824 4711616 7108192 7899076 9423232 13823383 14216384 15798152 25671997 27646766 28432768 31596304 51343994 55293532 63192608 102687988 110587064 126385216 179703979 205375976 221174128 252770432 359407958 410751952 442348256 718815916 821503904 884696512 1437631832 1643007808 1769393024 2875263664 3286015616 5750527328 11501054656 23002109312