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232032020112 = 243212197132109
BaseRepresentation
bin1101100000011000101…
…1111010011010010000
3211011220201011220102200
43120012023322122100
512300200144120422
6254332151243200
722522653425514
oct3300613723220
9734821156380
10232032020112
118a44a031aa2
1238b77079500
1318b5a68cc29
14b33235c144
1560806882ac
hex36062fa690

232032020112 has 60 divisors (see below), whose sum is σ = 649425545340. Its totient is φ = 77337080064.

The previous prime is 232032020111. The next prime is 232032020119. The reversal of 232032020112 is 211020230232.

232032020112 is a `hidden beast` number, since 2 + 320 + 320 + 20 + 1 + 1 + 2 = 666.

232032020112 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 178543431936 + 53488588176 = 422544^2 + 231276^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (232032020111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1690314 + ... + 1822422.

It is an arithmetic number, because the mean of its divisors is an integer number (10823759089).

Almost surely, 2232032020112 is an apocalyptic number.

It is an amenable number.

232032020112 is an abundant number, since it is smaller than the sum of its proper divisors (417393525228).

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

232032020112 is a wasteful number, since it uses less digits than its factorization.

232032020112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144320 (or 144311 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 232032020112 its reverse (211020230232), we get a palindrome (443052250344).

It can be divided in two parts, 2320320 and 20112, that added together give a palindrome (2340432).

The spelling of 232032020112 in words is "two hundred thirty-two billion, thirty-two million, twenty thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 12197 24394 36591 48788 73182 97576 109773 132109 146364 195152 219546 264218 292728 396327 439092 528436 585456 792654 878184 1056872 1188981 1585308 1756368 2113744 2377962 3170616 4755924 6341232 9511848 19023696 1611333473 3222666946 4834000419 6445333892 9668000838 12890667784 14502001257 19336001676 25781335568 29004002514 38672003352 58008005028 77344006704 116016010056 232032020112