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132301366428100 = 225217367872115539
BaseRepresentation
bin11110000101001111001111…
…111100110000000111000100
3122100102212221200221220110011
4132011033033330300013010
5114320111144301144400
61145214224135240004
736603313123451452
oct3605171774600704
9570385850856404
10132301366428100
1139178770293a31
1212a08a83b19004
1358a8c71a70b9c
1424955c54439d2
1510466deb978ba
hex7853cff301c4

132301366428100 has 72 divisors (see below), whose sum is σ = 303990252441120. Its totient is φ = 49806195755520.

The previous prime is 132301366428089. The next prime is 132301366428137. The reversal of 132301366428100 is 1824663103231.

It is a happy number.

It is a super-2 number, since 2×1323013664281002 (a number of 29 digits) contains 22 as substring.

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, 61480131 + ... + 63595669.

It is an arithmetic number, because the mean of its divisors is an integer number (4222086839460).

Almost surely, 2132301366428100 is an apocalyptic number.

132301366428100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132301366428100 is an abundant number, since it is smaller than the sum of its proper divisors (171688886013020).

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

132301366428100 is a wasteful number, since it uses less digits than its factorization.

132301366428100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2152357 (or 2152350 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 40.

The spelling of 132301366428100 in words is "one hundred thirty-two trillion, three hundred one billion, three hundred sixty-six million, four hundred twenty-eight thousand, one hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 68 85 100 170 340 425 850 1700 36787 73574 147148 183935 367870 625379 735740 919675 1250758 1839350 2115539 2501516 3126895 3678700 4231078 6253790 8462156 10577695 12507580 15634475 21155390 31268950 35964163 42310780 52888475 62537900 71928326 105776950 143856652 179820815 211553900 359641630 719283260 899104075 1798208150 3596416300 77824333193 155648666386 311297332772 389121665965 778243331930 1323013664281 1556486663860 1945608329825 2646027328562 3891216659650 5292054657124 6615068321405 7782433319300 13230136642810 26460273285620 33075341607025 66150683214050 132301366428100