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132100311404020 = 2257249791107433
BaseRepresentation
bin11110000010010100000000…
…001000101100110111110100
3122022201122222211110102222211
4132002110000020230313310
5114303312414204412040
61144542013440303204
736552634602112501
oct3602240010546764
9568648884412884
10132100311404020
1139100477a37603
1212995b13011b04
13589300ccba70b
1424899911b04a8
151041373cc38ea
hex78250022cdf4

132100311404020 has 24 divisors (see below), whose sum is σ = 277414483505544. Its totient is φ = 52839395122176.

The previous prime is 132100311403997. The next prime is 132100311404051. The reversal of 132100311404020 is 20404113001231.

It can be written as a sum of positive squares in 4 ways, for example, as 37345934321424 + 94754377082596 = 6111132^2 + 9734186^2 .

It is a junction number, because it is equal to n+sod(n) for n = 132100311403982 and 132100311404000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 44103777 + ... + 47003656.

It is an arithmetic number, because the mean of its divisors is an integer number (11558936812731).

Almost surely, 2132100311404020 is an apocalyptic number.

132100311404020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132100311404020 is an abundant number, since it is smaller than the sum of its proper divisors (145314172101524).

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

132100311404020 is a wasteful number, since it uses less digits than its factorization.

132100311404020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91179939 (or 91179937 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

Adding to 132100311404020 its reverse (20404113001231), we get a palindrome (152504424405251).

The spelling of 132100311404020 in words is "one hundred thirty-two trillion, one hundred billion, three hundred eleven million, four hundred four thousand, twenty".

Divisors: 1 2 4 5 10 20 72497 144994 289988 362485 724970 1449940 91107433 182214866 364429732 455537165 911074330 1822148660 6605015570201 13210031140402 26420062280804 33025077851005 66050155702010 132100311404020