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23130231301344 = 2531516089262051
BaseRepresentation
bin1010100001001011011010…
…01110000110010011100000
310000220020011120220100112010
411100211231032012103200
511012431203203120334
6121105514230232520
74605050460046206
oct520455516062340
9100806146810463
1023130231301344
117408526624a82
1227169637b5740
13cba22c8b1b5b
1459d71b22d076
152a1a0c8cc0e9
hex15096d3864e0

23130231301344 has 96 divisors (see below), whose sum is σ = 61129226430720. Its totient is φ = 7657729920000.

The previous prime is 23130231301279. The next prime is 23130231301357. The reversal of 23130231301344 is 44310313203132.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 88135119 + ... + 88397169.

It is an arithmetic number, because the mean of its divisors is an integer number (636762775320).

Almost surely, 223130231301344 is an apocalyptic number.

23130231301344 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23130231301344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30564613215360).

23130231301344 is an abundant number, since it is smaller than the sum of its proper divisors (37998995129376).

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

23130231301344 is a wasteful number, since it uses less digits than its factorization.

23130231301344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268304 (or 268296 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 30.

Adding to 23130231301344 its reverse (44310313203132), we get a palindrome (67440544504476).

The spelling of 23130231301344 in words is "twenty-three trillion, one hundred thirty billion, two hundred thirty-one million, three hundred one thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 151 302 453 604 906 1208 1812 2416 3624 4832 6089 7248 12178 14496 18267 24356 36534 48712 73068 97424 146136 194848 262051 292272 524102 584544 786153 919439 1048204 1572306 1838878 2096408 2758317 3144612 3677756 4192816 5516634 6289224 7355512 8385632 11033268 12578448 14711024 22066536 25156896 29422048 39569701 44133072 79139402 88266144 118709103 158278804 237418206 316557608 474836412 633115216 949672824 1266230432 1595628539 1899345648 3191257078 3798691296 4786885617 6382514156 9573771234 12765028312 19147542468 25530056624 38295084936 51060113248 76590169872 153180339744 240939909389 481879818778 722819728167 963759637556 1445639456334 1927519275112 2891278912668 3855038550224 5782557825336 7710077100448 11565115650672 23130231301344