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230212312133001 = 311371791069985331
BaseRepresentation
bin110100010110000001111011…
…000101100110110110001001
31010012010002012212001122212220
4310112001323011212312021
5220133244303401224001
62133342024242324253
766330201463246362
oct6426017305466611
91105102185048786
10230212312133001
1167397547638330
12219a0831659689
139b5bc0a73a2a3
1440bc49a320b69
151b9353d166c36
hexd1607b166d89

230212312133001 has 64 divisors (see below), whose sum is σ = 346149496396800. Its totient is φ = 134866925510400.

The previous prime is 230212312132993. The next prime is 230212312133039. The reversal of 230212312133001 is 100331213212032.

It is not a de Polignac number, because 230212312133001 - 23 = 230212312132993 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (230212312133071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 233146906 + ... + 234132236.

It is an arithmetic number, because the mean of its divisors is an integer number (5408585881200).

Almost surely, 2230212312133001 is an apocalyptic number.

It is an amenable number.

230212312133001 is a deficient number, since it is larger than the sum of its proper divisors (115937184263799).

230212312133001 is a wasteful number, since it uses less digits than its factorization.

230212312133001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 986630.

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

Adding to 230212312133001 its reverse (100331213212032), we get a palindrome (330543525345033).

It can be divided in two parts, 230212 and 312133001, that added together give a palindrome (312363213).

The spelling of 230212312133001 in words is "two hundred thirty trillion, two hundred twelve billion, three hundred twelve million, one hundred thirty-three thousand, one".

Divisors: 1 3 11 33 37 111 179 407 537 1069 1221 1969 3207 5907 6623 11759 19869 35277 39553 72853 118659 191351 218559 435083 574053 985331 1305249 2104861 2955993 6314583 7079987 10838641 21239961 32515923 36457247 77879857 109371741 176374249 233639571 401029717 529122747 1053318839 1203089151 1940116739 3159956517 5820350217 6525847213 11586507229 19577541639 34759521687 38972797043 71784319343 116918391129 188544072181 215352958029 428700767473 565632216543 1286102302419 2073984793991 6221954381973 6976130670697 20928392012091 76737437377667 230212312133001