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232111132020 = 2232510112767389
BaseRepresentation
bin1101100000101011100…
…1101100110101110100
3211012010020001012120100
43120022321230311310
512300330422211040
6254344055034100
722524634032465
oct3301271546564
9735106035510
10232111132020
118a48a756a39
1238b9966b930
1318b70b9c001
14b33ca72d6c
1560875b3b30
hex360ae6cd74

232111132020 has 72 divisors (see below), whose sum is σ = 711041483880. Its totient is φ = 61283462400.

The previous prime is 232111132009. The next prime is 232111132037. The reversal of 232111132020 is 20231111232.

232111132020 is a `hidden beast` number, since 2 + 321 + 1 + 1 + 1 + 320 + 20 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 125660324196 + 106450807824 = 354486^2 + 326268^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 232111131984 and 232111132002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6365515 + ... + 6401874.

It is an arithmetic number, because the mean of its divisors is an integer number (9875576165).

Almost surely, 2232111132020 is an apocalyptic number.

232111132020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

232111132020 is an abundant number, since it is smaller than the sum of its proper divisors (478930351860).

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

232111132020 is a wasteful number, since it uses less digits than its factorization.

232111132020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12767505 (or 12767500 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 232111132020 its reverse (20231111232), we get a palindrome (252342243252).

The spelling of 232111132020 in words is "two hundred thirty-two billion, one hundred eleven million, one hundred thirty-two thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 101 180 202 303 404 505 606 909 1010 1212 1515 1818 2020 3030 3636 4545 6060 9090 18180 12767389 25534778 38302167 51069556 63836945 76604334 114906501 127673890 153208668 191510835 229813002 255347780 383021670 459626004 574532505 766043340 1149065010 1289506289 2298130020 2579012578 3868518867 5158025156 6447531445 7737037734 11605556601 12895062890 15474075468 19342594335 23211113202 25790125780 38685188670 46422226404 58027783005 77370377340 116055566010 232111132020