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102146085340 = 225131559252001
BaseRepresentation
bin101111100100001100…
…0011001000111011100
3100202122201212202212221
41133020120121013130
53133143344212330
6114531505035124
710244163254035
oct1371030310734
9322581782787
10102146085340
113a357890852
1217968625aa4
13982b314c20
144d300a5a8c
1529cc856b7a
hex17c86191dc

102146085340 has 48 divisors (see below), whose sum is σ = 231156394560. Its totient is φ = 37691136000.

The previous prime is 102146085317. The next prime is 102146085359. The reversal of 102146085340 is 43580641201.

It is a junction number, because it is equal to n+sod(n) for n = 102146085296 and 102146085305.

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, 279340 + ... + 531340.

It is an arithmetic number, because the mean of its divisors is an integer number (4815758220).

Almost surely, 2102146085340 is an apocalyptic number.

102146085340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102146085340 is an abundant number, since it is smaller than the sum of its proper divisors (129010309220).

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

102146085340 is a wasteful number, since it uses less digits than its factorization.

102146085340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 253582 (or 253580 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 34.

The spelling of 102146085340 in words is "one hundred two billion, one hundred forty-six million, eighty-five thousand, three hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 1559 3118 6236 7795 15590 20267 31180 40534 81068 101335 202670 252001 405340 504002 1008004 1260005 2520010 3276013 5040020 6552026 13104052 16380065 32760130 65520260 392869559 785739118 1571478236 1964347795 3928695590 5107304267 7857391180 10214608534 20429217068 25536521335 51073042670 102146085340