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32201120230008 = 2337183791928751
BaseRepresentation
bin1110101001001011010000…
…10101010010101001111000
311020000101201102201212121220
413110211220111102221320
513210040343234330013
6152252553532432040
76532311530552052
oct724455025225170
9136011642655556
1032201120230008
11a295466985464
123740962018620
1314c7725107482
147d4784a048d2
153ac95975ab23
hex1d4968552a78

32201120230008 has 128 divisors (see below), whose sum is σ = 82633524019200. Its totient is φ = 10453343600000.

The previous prime is 32201120229991. The next prime is 32201120230043. The reversal of 32201120230008 is 80003202110223.

It is a happy number.

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

It is a self number, because there is not a number n which added to its sum of digits gives 32201120230008.

It is a congruent number.

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, 1119985633 + ... + 1120014383.

It is an arithmetic number, because the mean of its divisors is an integer number (645574406400).

Almost surely, 232201120230008 is an apocalyptic number.

It is an amenable number.

32201120230008 is an abundant number, since it is smaller than the sum of its proper divisors (50432403789192).

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

32201120230008 is a wasteful number, since it uses less digits than its factorization.

32201120230008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36833 (or 36829 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The spelling of 32201120230008 in words is "thirty-two trillion, two hundred one billion, one hundred twenty million, two hundred thirty thousand, eight".

Divisors: 1 2 3 4 6 8 12 24 71 83 142 166 213 249 284 332 426 498 568 664 852 996 1704 1992 5893 7919 11786 15838 17679 23572 23757 28751 31676 35358 47144 47514 57502 63352 70716 86253 95028 115004 141432 172506 190056 230008 345012 562249 657277 690024 1124498 1314554 1686747 1971831 2041321 2248996 2386333 2629108 3373494 3943662 4082642 4497992 4772666 5258216 6123963 6746988 7158999 7887324 8165284 9545332 12247926 13493976 14317998 15774648 16330568 19090664 24495852 28635996 46666667 48991704 57271992 93333334 140000001 169429643 186666668 227679169 280000002 338859286 373333336 455358338 508288929 560000004 677718572 683037507 910716676 1016577858 1120000008 1355437144 1366075014 1821433352 2033155716 2732150028 4066311432 5464300056 16165220999 18897371027 32330441998 37794742054 48495662997 56692113081 64660883996 75589484108 96991325994 113384226162 129321767992 151178968216 193982651988 226768452324 387965303976 453536904648 1341713342917 2683426685834 4025140028751 5366853371668 8050280057502 10733706743336 16100560115004 32201120230008