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102756381930 = 23251141737577
BaseRepresentation
bin101111110110011000…
…0011111010011101010
3100211020021021001102100
41133230300133103222
53140421113210210
6115112225514230
710265253556266
oct1375460372352
9324207231370
10102756381930
113a6403316a4
1217ab8aa2976
1398c78a7377
144d8b16d0a6
152a1620a5c0
hex17ecc1f4ea

102756381930 has 24 divisors (see below), whose sum is σ = 267166593252. Its totient is φ = 27401701824.

The previous prime is 102756381919. The next prime is 102756381947. The reversal of 102756381930 is 39183657201.

102756381930 is a `hidden beast` number, since 1 + 0 + 2 + 7 + 5 + 638 + 1 + 9 + 3 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 95557029129 + 7199352801 = 309123^2 + 84849^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 570868699 + ... + 570868878.

Almost surely, 2102756381930 is an apocalyptic number.

102756381930 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

102756381930 is an abundant number, since it is smaller than the sum of its proper divisors (164410211322).

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

102756381930 is a wasteful number, since it uses less digits than its factorization.

102756381930 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1141737590 (or 1141737587 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 102756381930 in words is "one hundred two billion, seven hundred fifty-six million, three hundred eighty-one thousand, nine hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 1141737577 2283475154 3425212731 5708687885 6850425462 10275638193 11417375770 17126063655 20551276386 34252127310 51378190965 102756381930