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132014050301020 = 225191568872214367
BaseRepresentation
bin11110000001000011101010…
…100100101101010001011100
3122022102102100010222101100011
4132001003222210231101130
5114300404233334113040
61144434230101413004
736543462142615336
oct3601035244552134
9568372303871304
10132014050301020
1139077931883138
121298125a40a164
135887b4398a834
14248572aa9a456
15103dec5ce33ea
hex7810ea92d45c

132014050301020 has 48 divisors (see below), whose sum is σ = 291822524098560. Its totient is φ = 50026035495744.

The previous prime is 132014050301017. The next prime is 132014050301069. The reversal of 132014050301020 is 20103050410231.

It is a happy number.

It is a super-2 number, since 2×1320140503010202 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 132014050300982 and 132014050301000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 58509877 + ... + 60724243.

It is an arithmetic number, because the mean of its divisors is an integer number (6079635918720).

Almost surely, 2132014050301020 is an apocalyptic number.

132014050301020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132014050301020 is an abundant number, since it is smaller than the sum of its proper divisors (159808473797540).

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

132014050301020 is a wasteful number, since it uses less digits than its factorization.

132014050301020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2371282 (or 2371280 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

The spelling of 132014050301020 in words is "one hundred thirty-two trillion, fourteen billion, fifty million, three hundred one thousand, twenty".

Divisors: 1 2 4 5 10 19 20 38 76 95 190 380 156887 313774 627548 784435 1568870 2214367 2980853 3137740 4428734 5961706 8857468 11071835 11923412 14904265 22143670 29808530 42072973 44287340 59617060 84145946 168291892 210364865 420729730 841459460 347405395529 694810791058 1389621582116 1737026977645 3474053955290 6600702515051 6948107910580 13201405030102 26402810060204 33003512575255 66007025150510 132014050301020