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233230010031300 = 223521276473945701
BaseRepresentation
bin110101000001111100010111…
…111001100001110011000100
31010120210120102102001022201210
4311001330113321201303010
5221032220030032000200
62144012215405251420
7100061212033203552
oct6501742771416304
91116716372038653
10233230010031300
1168350323406a37
12221a9656563b70
13a01a659a15159
14418456d884bd2
151be6cab48c650
hexd41f17e61cc4

233230010031300 has 144 divisors (see below), whose sum is σ = 680231434401792. Its totient is φ = 61695349632000.

The previous prime is 233230010031281. The next prime is 233230010031349. The reversal of 233230010031300 is 3130010032332.

233230010031300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 246148450 + ... + 247094150.

It is an arithmetic number, because the mean of its divisors is an integer number (4723829405568).

Almost surely, 2233230010031300 is an apocalyptic number.

233230010031300 is a gapful number since it is divisible by the number (20) 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 233230010031300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (340115717200896).

233230010031300 is an abundant number, since it is smaller than the sum of its proper divisors (447001424370492).

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

233230010031300 is a wasteful number, since it uses less digits than its factorization.

233230010031300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 952318 (or 952311 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 21.

Adding to 233230010031300 its reverse (3130010032332), we get a palindrome (236360020063632).

The spelling of 233230010031300 in words is "two hundred thirty-three trillion, two hundred thirty billion, ten million, thirty-one thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 127 150 254 300 381 508 635 762 1270 1524 1905 2540 3175 3810 6350 6473 7620 9525 12700 12946 19050 19419 25892 32365 38100 38838 64730 77676 97095 129460 161825 194190 323650 388380 485475 647300 822071 945701 970950 1644142 1891402 1941900 2466213 2837103 3288284 3782804 4110355 4728505 4932426 5674206 8220710 9457010 9864852 11348412 12331065 14185515 16441420 18914020 20551775 23642525 24662130 28371030 41103550 47285050 49324260 56742060 61655325 70927575 82207100 94570100 120104027 123310650 141855150 240208054 246621300 283710300 360312081 480416108 600520135 720624162 1201040270 1441248324 1801560405 2402080540 3002600675 3603120810 6005201350 6121522573 7206241620 9007802025 12010402700 12243045146 18015604050 18364567719 24486090292 30607612865 36031208100 36729135438 61215225730 73458270876 91822838595 122430451460 153038064325 183645677190 306076128650 367291354380 459114192975 612152257300 777433366771 918228385950 1554866733542 1836456771900 2332300100313 3109733467084 3887166833855 4664600200626 7774333667710 9329200401252 11661500501565 15548667335420 19435834169275 23323001003130 38871668338550 46646002006260 58307502507825 77743336677100 116615005015650 233230010031300