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23021311312032 = 2531123947847139
BaseRepresentation
bin1010011110000000100010…
…00101010100000010100000
310000111211000202201121021220
411033000101011110002200
511004140121143441112
6120543502221015040
74564143361316025
oct517002105240240
9100454022647256
1023021311312032
117376313086990
1226b98266b4480
13cacb92087337
1459834766354c
1529dc8551c98c
hex14f0111540a0

23021311312032 has 96 divisors (see below), whose sum is σ = 68790954032640. Its totient is φ = 6672843851520.

The previous prime is 23021311312007. The next prime is 23021311312061.

23021311312032 is nontrivially palindromic in base 10.

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

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

It is a junction number, because it is equal to n+sod(n) for n = 23021311311993 and 23021311312011.

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, 473899282 + ... + 473947857.

It is an arithmetic number, because the mean of its divisors is an integer number (716572437840).

Almost surely, 223021311312032 is an apocalyptic number.

23021311312032 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

23021311312032 is an abundant number, since it is smaller than the sum of its proper divisors (45769642720608).

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

23021311312032 is a wasteful number, since it uses less digits than its factorization.

23021311312032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 947847186 (or 947847178 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

It can be divided in two parts, 2302131 and 1312032, that added together give a palindrome (3614163).

The spelling of 23021311312032 in words is "twenty-three trillion, twenty-one billion, three hundred eleven million, three hundred twelve thousand, thirty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 23 24 32 33 44 46 48 66 69 88 92 96 132 138 176 184 253 264 276 352 368 506 528 552 736 759 1012 1056 1104 1518 2024 2208 3036 4048 6072 8096 12144 24288 947847139 1895694278 2843541417 3791388556 5687082834 7582777112 10426318529 11374165668 15165554224 20852637058 21800484197 22748331336 30331108448 31278955587 41705274116 43600968394 45496662672 62557911174 65401452591 83410548232 87201936788 90993325344 125115822348 130802905182 166821096464 174403873576 239805326167 250231644696 261605810364 333642192928 348807747152 479610652334 500463289392 523211620728 697615494304 719415978501 959221304668 1000926578784 1046423241456 1438831957002 1918442609336 2092846482912 2877663914004 3836885218672 5755327828008 7673770437344 11510655656016 23021311312032