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232114213221231 = 31129317823986693
BaseRepresentation
bin110100110001101101001101…
…001110011111001101101111
31010102211220100121111110101110
4310301231031032133031233
5220410424402041034411
62141355444131243103
766614461404620265
oct6461551516371557
91112756317443343
10232114213221231
1167a600a3181810
1222049358449493
139c693792b6bb3
14414656041c435
151bc7c53c802a6
hexd31b4d39f36f

232114213221231 has 32 divisors (see below), whose sum is σ = 360529306859520. Its totient is φ = 131442976425600.

The previous prime is 232114213221229. The next prime is 232114213221277. The reversal of 232114213221231 is 132122312411232.

It is not a de Polignac number, because 232114213221231 - 21 = 232114213221229 is a prime.

It is a super-3 number, since 3×2321142132212313 (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (232114213221131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3911963680 + ... + 3912023013.

It is an arithmetic number, because the mean of its divisors is an integer number (11266540839360).

Almost surely, 2232114213221231 is an apocalyptic number.

232114213221231 is a deficient number, since it is larger than the sum of its proper divisors (128415093638289).

232114213221231 is a wasteful number, since it uses less digits than its factorization.

232114213221231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7823986767.

The product of its digits is 6912, while the sum is 30.

Adding to 232114213221231 its reverse (132122312411232), we get a palindrome (364236525632463).

The spelling of 232114213221231 in words is "two hundred thirty-two trillion, one hundred fourteen billion, two hundred thirteen million, two hundred twenty-one thousand, two hundred thirty-one".

Divisors: 1 3 11 29 31 33 87 93 319 341 899 957 1023 2697 9889 29667 7823986693 23471960079 86063853623 226895614097 242543587483 258191560869 680686842291 727630762449 2495851755067 2667979462313 7033764037007 7487555265201 8003938386939 21101292111021 77371404407077 232114213221231