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102412414020 = 22357243839081
BaseRepresentation
bin101111101100001000…
…0010110110001000100
3100210100022000200011010
41133120100112301010
53134220034222040
6115014141242220
710253606104350
oct1373020266104
9323308020133
10102412414020
113a4841574a4
1217a21863370
139871553967
144d575d2460
1529e5e13e80
hex17d8416c44

102412414020 has 48 divisors (see below), whose sum is σ = 327719726208. Its totient is φ = 23408551680.

The previous prime is 102412413991. The next prime is 102412414063. The reversal of 102412414020 is 20414214201.

It is a Harshad number since it is a multiple of its sum of digits (21).

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, 121919121 + ... + 121919960.

It is an arithmetic number, because the mean of its divisors is an integer number (6827494296).

Almost surely, 2102412414020 is an apocalyptic number.

102412414020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102412414020 is an abundant number, since it is smaller than the sum of its proper divisors (225307312188).

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

102412414020 is a wasteful number, since it uses less digits than its factorization.

102412414020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243839100 (or 243839098 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

Adding to 102412414020 its reverse (20414214201), we get a palindrome (122826628221).

The spelling of 102412414020 in words is "one hundred two billion, four hundred twelve million, four hundred fourteen thousand, twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 420 243839081 487678162 731517243 975356324 1219195405 1463034486 1706873567 2438390810 2926068972 3413747134 3657586215 4876781620 5120620701 6827494268 7315172430 8534367835 10241241402 14630344860 17068735670 20482482804 25603103505 34137471340 51206207010 102412414020