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230132514010120 = 235197391439284747
BaseRepresentation
bin110100010100110111100110…
…101111111011010000001000
31010011211110020120211000020021
4310110313212233323100020
5220130442342041310440
62133241230055510224
766321345142350661
oct6424674657732010
91104743216730207
10230132514010120
1167366718686547
1221989281388374
139b54531398cb7
1440b868a2d6368
151b9141c77384a
hexd14de6bfb408

230132514010120 has 128 divisors (see below), whose sum is σ = 546169443840000. Its totient is φ = 87029275398912.

The previous prime is 230132514010013. The next prime is 230132514010129. The reversal of 230132514010120 is 21010415231032.

It is not an unprimeable number, because it can be changed into a prime (230132514010129) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 808057587 + ... + 808342333.

It is an arithmetic number, because the mean of its divisors is an integer number (4266948780000).

Almost surely, 2230132514010120 is an apocalyptic number.

230132514010120 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 230132514010120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273084721920000).

230132514010120 is an abundant number, since it is smaller than the sum of its proper divisors (316036929829880).

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

230132514010120 is a wasteful number, since it uses less digits than its factorization.

230132514010120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286955 (or 286951 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 25.

Adding to 230132514010120 its reverse (21010415231032), we get a palindrome (251142929241152).

The spelling of 230132514010120 in words is "two hundred thirty trillion, one hundred thirty-two billion, five hundred fourteen million, ten thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 19 20 38 40 76 95 152 190 380 739 760 1439 1478 2878 2956 3695 5756 5912 7195 7390 11512 14041 14390 14780 27341 28082 28780 29560 54682 56164 57560 70205 109364 112328 136705 140410 218728 273410 280820 284747 546820 561640 569494 1063421 1093640 1138988 1423735 2126842 2277976 2847470 4253684 5317105 5410193 5694940 8507368 10634210 10820386 11389880 20204999 21268420 21640772 27050965 40409998 42536840 43281544 54101930 80819996 101024995 108203860 161639992 202049990 210428033 216407720 404099980 409750933 420856066 808199960 819501866 841712132 1052140165 1639003732 1683424264 2048754665 2104280330 3278007464 3998132627 4097509330 4208560660 7785267727 7996265254 8195018660 8417121320 15570535454 15992530508 16390037320 19990663135 31141070908 31985061016 38926338635 39981326270 62282141816 77852677270 79962652540 155705354540 159925305080 302805939487 311410709080 605611878974 1211223757948 1514029697435 2422447515896 3028059394870 5753312850253 6056118789740 11506625700506 12112237579480 23013251401012 28766564251265 46026502802024 57533128502530 115066257005060 230132514010120