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132015013310020 = 22597181375961193
BaseRepresentation
bin11110000001000100100011…
…111110010010111001000100
3122022102111211021001022100011
4132001010203332102321010
5114300413221401410040
61144434505422200004
736543525045222631
oct3601044376227104
9568374737038304
10132015013310020
1139078286431045
1212981488a23004
135887c68345949
1424857bc939188
15103e0306193ea
hex781123f92e44

132015013310020 has 48 divisors (see below), whose sum is σ = 281637041959728. Its totient is φ = 51972875182080.

The previous prime is 132015013309979. The next prime is 132015013310021. The reversal of 132015013310020 is 20013310510231.

It can be written as a sum of positive squares in 8 ways, for example, as 43417372142596 + 88597641167424 = 6589186^2 + 9412632^2 .

It is a junction number, because it is equal to n+sod(n) for n = 132015013309973 and 132015013310000.

It is not an unprimeable number, because it can be changed into a prime (132015013310021) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 187629457 + ... + 188331736.

It is an arithmetic number, because the mean of its divisors is an integer number (5867438374161).

Almost surely, 2132015013310020 is an apocalyptic number.

132015013310020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132015013310020 is an abundant number, since it is smaller than the sum of its proper divisors (149622028649708).

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

132015013310020 is a wasteful number, since it uses less digits than its factorization.

132015013310020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 375961480 (or 375961478 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 22.

Adding to 132015013310020 its reverse (20013310510231), we get a palindrome (152028323820251).

The spelling of 132015013310020 in words is "one hundred thirty-two trillion, fifteen billion, thirteen million, three hundred ten thousand, twenty".

Divisors: 1 2 4 5 10 20 97 181 194 362 388 485 724 905 970 1810 1940 3620 17557 35114 70228 87785 175570 351140 375961193 751922386 1503844772 1879805965 3759611930 7519223860 36468235721 68048975933 72936471442 136097951866 145872942884 182341178605 272195903732 340244879665 364682357210 680489759330 729364714420 1360979518660 6600750665501 13201501331002 26403002662004 33003753327505 66007506655010 132015013310020