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232001013312312 = 2331715232939127037
BaseRepresentation
bin110100110000000011110001…
…111111000110101100111000
31010102110002011111220021012020
4310300003301333012230320
5220402101033401443222
62141231443312314440
766603343246356306
oct6460036177065470
91112402144807166
10232001013312312
1167a17093840782
122202b425b42a20
139c5b7a8b80a7a
144140ca2275276
151bc4d2aca665c
hexd300f1fc6b38

232001013312312 has 128 divisors (see below), whose sum is σ = 614737491782400. Its totient is φ = 72711520114688.

The previous prime is 232001013312311. The next prime is 232001013312349. The reversal of 232001013312312 is 213213310100232.

232001013312312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (232001013312311) 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, 1826184058 + ... + 1826311094.

It is an arithmetic number, because the mean of its divisors is an integer number (4802636654550).

Almost surely, 2232001013312312 is an apocalyptic number.

It is an amenable number.

232001013312312 is an abundant number, since it is smaller than the sum of its proper divisors (382736478470088).

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

232001013312312 is a wasteful number, since it uses less digits than its factorization.

232001013312312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131525 (or 131521 counting only the distinct ones).

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

Adding to 232001013312312 its reverse (213213310100232), we get a palindrome (445214323412544).

The spelling of 232001013312312 in words is "two hundred thirty-two trillion, one billion, thirteen million, three hundred twelve thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 68 102 136 204 408 1523 2939 3046 4569 5878 6092 8817 9138 11756 12184 17634 18276 23512 25891 35268 36552 49963 51782 70536 77673 99926 103564 127037 149889 155346 199852 207128 254074 299778 310692 381111 399704 508148 599556 621384 762222 1016296 1199112 1524444 2159629 3048888 4319258 4476097 6478887 8638516 8952194 12957774 13428291 17277032 17904388 25915548 26856582 35808776 51831096 53713164 76093649 107426328 152187298 193477351 228280947 304374596 373361743 386954702 456561894 580432053 608749192 746723486 773909404 913123788 1120085229 1160864106 1493446972 1547818808 1826247576 2240170458 2321728212 2986893944 3289114967 4480340916 4643456424 6347149631 6578229934 8960681832 9867344901 12694299262 13156459868 19041448893 19734689802 25388598524 26312919736 38082897786 39469379604 50777197048 76165795572 78938759208 152331591144 568629934589 1137259869178 1705889803767 2274519738356 3411779607534 4549039476712 6823559215068 9666708888013 13647118430136 19333417776026 29000126664039 38666835552052 58000253328078 77333671104104 116000506656156 232001013312312