Search a number
-
+
232111201231332 = 2236233460833799
BaseRepresentation
bin110100110001101010011001…
…101100101010000111100100
31010102211121120200220112000000
4310301222121230222013210
5220410402220003400312
62141354225214021300
766614323642256523
oct6461523154520744
91112747520815000
10232111201231332
1167a59897a72165
12220488577a7830
139c68cb9295157
1441463563b44ba
151bc7b2961dadc
hexd31a99b2a1e4

232111201231332 has 84 divisors (see below), whose sum is σ = 635492145691200. Its totient is φ = 74006469936432.

The previous prime is 232111201231321. The next prime is 232111201231333. The reversal of 232111201231332 is 233132102111232.

232111201231332 is a `hidden beast` number, since 2 + 3 + 2 + 111 + 201 + 2 + 313 + 32 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 232111201231296 and 232111201231305.

It is not an unprimeable number, because it can be changed into a prime (232111201231333) 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 27 ways as a sum of consecutive naturals, for example, 1730349832 + ... + 1730483967.

It is an arithmetic number, because the mean of its divisors is an integer number (7565382686800).

Almost surely, 2232111201231332 is an apocalyptic number.

It is an amenable number.

232111201231332 is an abundant number, since it is smaller than the sum of its proper divisors (403380944459868).

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

232111201231332 is a wasteful number, since it uses less digits than its factorization.

232111201231332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3460833844 (or 3460833827 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 232111201231332 its reverse (233132102111232), we get a palindrome (465243303342564).

The spelling of 232111201231332 in words is "two hundred thirty-two trillion, one hundred eleven billion, two hundred one million, two hundred thirty-one thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 23 27 36 46 54 69 81 92 108 138 162 207 243 276 324 414 486 621 729 828 972 1242 1458 1863 2484 2916 3726 5589 7452 11178 16767 22356 33534 67068 3460833799 6921667598 10382501397 13843335196 20765002794 31147504191 41530005588 62295008382 79599177377 93442512573 124590016764 159198354754 186885025146 238797532131 280327537719 318396709508 373770050292 477595064262 560655075438 716392596393 840982613157 955190128524 1121310150876 1432785192786 1681965226314 2149177789179 2522947839471 2865570385572 3363930452628 4298355578358 5045895678942 6447533367537 8596711156716 10091791357884 12895066735074 19342600102611 25790133470148 38685200205222 58027800307833 77370400410444 116055600615666 232111201231332