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23112331531104 = 253738011411683
BaseRepresentation
bin1010100000101010000100…
…10011111001001101100000
310000211111222010022210212210
411100111002103321031200
511012133023332443404
6121053354124122120
74603545056364144
oct520250223711540
9100744863283783
1023112331531104
117400980680732
1227133a9096340
13cb863937582a
1459c8ddc53224
152a1311221689
hex1505424f9360

23112331531104 has 96 divisors (see below), whose sum is σ = 61508790854784. Its totient is φ = 7597607777280.

The previous prime is 23112331531061. The next prime is 23112331531151. The reversal of 23112331531104 is 40113513321132.

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 polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 55935247 + ... + 56346929.

It is an arithmetic number, because the mean of its divisors is an integer number (640716571404).

Almost surely, 223112331531104 is an apocalyptic number.

23112331531104 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 23112331531104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30754395427392).

23112331531104 is an abundant number, since it is smaller than the sum of its proper divisors (38396459323680).

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

23112331531104 is a wasteful number, since it uses less digits than its factorization.

23112331531104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 419780 (or 419772 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

Adding to 23112331531104 its reverse (40113513321132), we get a palindrome (63225844852236).

The spelling of 23112331531104 in words is "twenty-three trillion, one hundred twelve billion, three hundred thirty-one million, five hundred thirty-one thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 73 96 146 219 292 438 584 876 1168 1752 2336 3504 7008 8011 16022 24033 32044 48066 64088 96132 128176 192264 256352 384528 411683 584803 769056 823366 1169606 1235049 1646732 1754409 2339212 2470098 3293464 3508818 4678424 4940196 6586928 7017636 9356848 9880392 13173856 14035272 18713696 19760784 28070544 30052859 39521568 56141088 60105718 90158577 120211436 180317154 240422872 360634308 480845744 721268616 961691488 1442537232 2885074464 3297992513 6595985026 9893977539 13191970052 19787955078 26383940104 39575910156 52767880208 79151820312 105535760416 158303640624 240753453449 316607281248 481506906898 722260360347 963013813796 1444520720694 1926027627592 2889041441388 3852055255184 5778082882776 7704110510368 11556165765552 23112331531104