Search a number
-
+
232123133012113 = 7175215576721691
BaseRepresentation
bin110100110001110101100000…
…111000110010100010010001
31010102212202101020122210011201
4310301311200320302202101
5220411101134022341423
62141403521205311201
766615225424604440
oct6461654070624221
91112782336583151
10232123133012113
1167a63960169712
122204b027705501
139c6a16b262875
144146b68d14d57
151bc80c6db62ad
hexd31d60e32891

232123133012113 has 32 divisors (see below), whose sum is σ = 281932928494848. Its totient is φ = 186564001228800.

The previous prime is 232123133012087. The next prime is 232123133012131. The reversal of 232123133012113 is 311210331321232.

It is a cyclic number.

It is not a de Polignac number, because 232123133012113 - 229 = 232122596141201 is a prime.

It is a super-2 number, since 2×2321231330121132 (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (232123133012143) 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, 31172598 + ... + 37894288.

It is an arithmetic number, because the mean of its divisors is an integer number (8810404015464).

Almost surely, 2232123133012113 is an apocalyptic number.

It is an amenable number.

232123133012113 is a deficient number, since it is larger than the sum of its proper divisors (49809795482735).

232123133012113 is a wasteful number, since it uses less digits than its factorization.

232123133012113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6722793.

The product of its (nonzero) digits is 3888, while the sum is 28.

Adding to 232123133012113 its reverse (311210331321232), we get a palindrome (543333464333345).

The spelling of 232123133012113 in words is "two hundred thirty-two trillion, one hundred twenty-three billion, one hundred thirty-three million, twelve thousand, one hundred thirteen".

Divisors: 1 7 17 119 521 557 3647 3899 8857 9469 61999 66283 290197 2031379 4933349 6721691 34533443 47051837 114268747 799881229 3502001011 3743981887 24514007077 26207873209 59534017187 63647692079 416738120309 445533844553 1950614563127 13654301941889 33160447573159 232123133012113