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102000300 = 22352437907
BaseRepresentation
bin1100001010001…
…10011010101100
321002221011002220
412011012122230
5202103002200
614042115340
72345662653
oct605063254
9232834086
10102000300
1152638376
122a1abb50
131819410c
14d79219a
158e4c4a0
hex61466ac

102000300 has 72 divisors (see below), whose sum is σ = 302022336. Its totient is φ = 26564160.

The previous prime is 102000299. The next prime is 102000359. The reversal of 102000300 is 3000201.

It is a super-2 number, since 2×1020003002 = 20808122400180000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

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, 8947 + ... + 16853.

Almost surely, 2102000300 is an apocalyptic number.

102000300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102000300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151011168).

102000300 is an abundant number, since it is smaller than the sum of its proper divisors (200022036).

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

102000300 is a wasteful number, since it uses less digits than its factorization.

102000300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7967 (or 7960 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 6.

The square root of 102000300 is about 10099.5197905643. The cubic root of 102000300 is about 467.2333309065.

Adding to 102000300 its reverse (3000201), we get a palindrome (105000501).

Subtracting from 102000300 its reverse (3000201), we obtain a palindrome (99000099).

The spelling of 102000300 in words is "one hundred two million, three hundred", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 43 50 60 75 86 100 129 150 172 215 258 300 430 516 645 860 1075 1290 2150 2580 3225 4300 6450 7907 12900 15814 23721 31628 39535 47442 79070 94884 118605 158140 197675 237210 340001 395350 474420 593025 680002 790700 1020003 1186050 1360004 1700005 2040006 2372100 3400010 4080012 5100015 6800020 8500025 10200030 17000050 20400060 25500075 34000100 51000150 102000300