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132121020014420 = 225231815772750171
BaseRepresentation
bin11110000010100111010010…
…011101110001111101010100
3122022210122110001100211222012
4132002213102131301331110
5114304132322110430140
61144555320401523352
736554300020312103
oct3602472235617524
9568718401324865
10132121020014420
1139109234457058
1212999b32343558
135894c6042a938
14248a99763203a
151041b86d63265
hex7829d2771f54

132121020014420 has 96 divisors (see below), whose sum is σ = 291621550461696. Its totient is φ = 50184222105600.

The previous prime is 132121020014381. The next prime is 132121020014483. The reversal of 132121020014420 is 24410020121231.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 46665935 + ... + 49416105.

It is an arithmetic number, because the mean of its divisors is an integer number (3037724483976).

Almost surely, 2132121020014420 is an apocalyptic number.

132121020014420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132121020014420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145810775230848).

132121020014420 is an abundant number, since it is smaller than the sum of its proper divisors (159500530447276).

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

132121020014420 is a wasteful number, since it uses less digits than its factorization.

132121020014420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2750961 (or 2750959 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

Adding to 132121020014420 its reverse (24410020121231), we get a palindrome (156531040135651).

The spelling of 132121020014420 in words is "one hundred thirty-two trillion, one hundred twenty-one billion, twenty million, fourteen thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 23 46 92 115 181 230 362 460 577 724 905 1154 1810 2308 2885 3620 4163 5770 8326 11540 13271 16652 20815 26542 41630 53084 66355 83260 104437 132710 208874 265420 417748 522185 1044370 2088740 2402051 2750171 4804102 5500342 9608204 11000684 12010255 13750855 24020510 27501710 48041020 55003420 63253933 126507866 253015732 316269665 497780951 632539330 995561902 1265078660 1586848667 1991123804 2488904755 3173697334 4977809510 6347394668 7934243335 9955619020 11448961873 15868486670 22897923746 31736973340 36497519341 45795847492 57244809365 72995038682 114489618730 145990077364 182487596705 228979237460 287219608727 364975193410 574439217454 729950386820 1148878434908 1436098043635 2872196087270 5744392174540 6606051000721 13212102001442 26424204002884 33030255003605 66060510007210 132121020014420