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23031220211232 = 2531133001707459
BaseRepresentation
bin1010011110010010111111…
…01100110000111000100000
310000112202121100001211121120
411033021133230300320200
511004320414333224412
6120552221351052240
74564644051502002
oct517113754607040
9100482540054546
1023031220211232
11737a538428582
1226bb731071080
13cb0ab0c287bc
14598a07670372
1529e1653d2b8c
hex14f25fb30e20

23031220211232 has 96 divisors (see below), whose sum is σ = 61012380461760. Its totient is φ = 7606588416000.

The previous prime is 23031220211213. The next prime is 23031220211303. The reversal of 23031220211232 is 23211202213032.

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

It is a super-2 number, since 2×230312202112322 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 32201119 + ... + 32908577.

It is an arithmetic number, because the mean of its divisors is an integer number (635545629810).

Almost surely, 223031220211232 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 23031220211232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30506190230880).

23031220211232 is an abundant number, since it is smaller than the sum of its proper divisors (37981160250528).

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

23031220211232 is a wasteful number, since it uses less digits than its factorization.

23031220211232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 710586 (or 710578 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 23031220211232 its reverse (23211202213032), we get a palindrome (46242422424264).

The spelling of 23031220211232 in words is "twenty-three trillion, thirty-one billion, two hundred twenty million, two hundred eleven thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 113 226 339 452 678 904 1356 1808 2712 3001 3616 5424 6002 9003 10848 12004 18006 24008 36012 48016 72024 96032 144048 288096 339113 678226 707459 1017339 1356452 1414918 2034678 2122377 2712904 2829836 4069356 4244754 5425808 5659672 8138712 8489508 10851616 11319344 16277424 16979016 22638688 32554848 33958032 67916064 79942867 159885734 239828601 319771468 479657202 639542936 959314404 1279085872 1918628808 2123084459 2558171744 3837257616 4246168918 6369253377 7674515232 8492337836 12738506754 16984675672 25477013508 33969351344 50954027016 67938702688 101908054032 203816108064 239908543867 479817087734 719725631601 959634175468 1439451263202 1919268350936 2878902526404 3838536701872 5757805052808 7677073403744 11515610105616 23031220211232