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23212377321232 = 241110122728320327
BaseRepresentation
bin1010100011100100011011…
…00000010010111100010000
310001012002012111010112101011
411101302031200102330100
511020302422043234412
6121211341404420304
74614016230514441
oct521621540227420
9101162174115334
1023212377321232
11743a34a941610
12272a86a247694
13cc4bc14c8408
145a36b0dd32c8
152a3c194a37a7
hex151c8d812f10

23212377321232 has 160 divisors (see below), whose sum is σ = 49944877323264. Its totient is φ = 10363333056000.

The previous prime is 23212377321229. The next prime is 23212377321311.

23212377321232 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1141937853 + ... + 1141958179.

Almost surely, 223212377321232 is an apocalyptic number.

23212377321232 is a gapful number since it is divisible by the number (22) 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 23212377321232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24972438661632).

23212377321232 is an abundant number, since it is smaller than the sum of its proper divisors (26732500002032).

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

23212377321232 is a wasteful number, since it uses less digits than its factorization.

23212377321232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20957 (or 20951 counting only the distinct ones).

The product of its digits is 254016, while the sum is 40.

It can be divided in two parts, 2321237 and 7321232, that added together give a palindrome (9642469).

The spelling of 23212377321232 in words is "twenty-three trillion, two hundred twelve billion, three hundred seventy-seven million, three hundred twenty-one thousand, two hundred thirty-two".

Divisors: 1 2 4 8 11 16 22 44 88 101 176 202 227 283 404 454 566 808 908 1111 1132 1616 1816 2222 2264 2497 3113 3632 4444 4528 4994 6226 8888 9988 12452 17776 19976 20327 22927 24904 28583 39952 40654 45854 49808 57166 64241 81308 91708 114332 128482 162616 183416 223597 228664 252197 256964 314413 325232 366832 447194 457328 504394 513928 628826 706651 894388 1008788 1027856 1257652 1413302 1788776 2017576 2053027 2515304 2826604 3577552 4035152 4106054 4614229 5030608 5653208 5752541 6488341 8212108 9228458 11306416 11505082 12976682 16424216 18456916 22583297 23010164 25953364 32848432 36913832 45166594 46020328 50756519 51906728 63277951 71371751 73827664 90333188 92040656 101513038 103813456 126555902 142743502 180666376 203026076 253111804 285487004 361332752 406052152 466037129 506223608 570974008 581006641 812104304 932074258 1012447216 1141948016 1162013282 1305826807 1864148516 2324026564 2611653614 3728297032 4648053128 5126408419 5223307228 6391073051 7456594064 9296106256 10252816838 10446614456 12782146102 14364094877 20505633676 20893228912 25564292204 28728189754 41011267352 51128584408 57456379508 82022534704 102257168816 114912759016 131888507507 229825518032 263777015014 527554030028 1055108060056 1450773582577 2110216120112 2901547165154 5803094330308 11606188660616 23212377321232