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102999312 = 24321355021
BaseRepresentation
bin1100010001110…
…10010100010000
321011210220111100
412020322110100
5202331434222
614115344400
72360323353
oct610722420
9234726440
10102999312
115315a9a9
122a5b2100
1318453a50
14d97229a
1590984ac
hex623a510

102999312 has 60 divisors (see below), whose sum is σ = 310434124. Its totient is φ = 31691520.

The previous prime is 102999289. The next prime is 102999341. The reversal of 102999312 is 213999201.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 21566736 + 81432576 = 4644^2 + 9024^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 25639 + ... + 29382.

Almost surely, 2102999312 is an apocalyptic number.

102999312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102999312 is an abundant number, since it is smaller than the sum of its proper divisors (207434812).

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

102999312 is a wasteful number, since it uses less digits than its factorization.

102999312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55048 (or 55039 counting only the distinct ones).

The product of its (nonzero) digits is 8748, while the sum is 36.

The square root of 102999312 is about 10148.8576697084. The cubic root of 102999312 is about 468.7537710630.

The spelling of 102999312 in words is "one hundred two million, nine hundred ninety-nine thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 72 78 104 117 144 156 208 234 312 468 624 936 1872 55021 110042 165063 220084 330126 440168 495189 660252 715273 880336 990378 1320504 1430546 1980756 2145819 2641008 2861092 3961512 4291638 5722184 6437457 7923024 8583276 11444368 12874914 17166552 25749828 34333104 51499656 102999312