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232121323121232 = 2434835860898359
BaseRepresentation
bin110100110001110011110101…
…000000100110101001010000
31010102212120201010000210122010
4310301303311000212221100
5220411033432204334412
62141403021433142520
766615132530023566
oct6461636500465120
91112776633023563
10232121323121232
1167a63111569926
122204a80155aa40
139c69c402bb80c
144146a367c5a36
151bc801d05733c
hexd31cf5026a50

232121323121232 has 20 divisors (see below), whose sum is σ = 599646751396640. Its totient is φ = 77373774373728.

The previous prime is 232121323121231. The next prime is 232121323121243.

It is a happy number.

232121323121232 is nontrivially palindromic in base 10.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 232121323121232.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (232121323121231) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2417930449132 + ... + 2417930449227.

It is an arithmetic number, because the mean of its divisors is an integer number (29982337569832).

Almost surely, 2232121323121232 is an apocalyptic number.

It is an amenable number.

232121323121232 is an abundant number, since it is smaller than the sum of its proper divisors (367525428275408).

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

232121323121232 is a wasteful number, since it uses less digits than its factorization.

232121323121232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4835860898370 (or 4835860898364 counting only the distinct ones).

The product of its digits is 10368, while the sum is 30.

The spelling of 232121323121232 in words is "two hundred thirty-two trillion, one hundred twenty-one billion, three hundred twenty-three million, one hundred twenty-one thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 48 4835860898359 9671721796718 14507582695077 19343443593436 29015165390154 38686887186872 58030330780308 77373774373744 116060661560616 232121323121232