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102030012 = 22327676043
BaseRepresentation
bin1100001010011…
…01101010111100
321002222122212100
412011031222330
5202104430022
614042505100
72346145410
oct605155274
9232878770
10102030012
1152658727
122a205190
13181a47b6
14d79cd40
158e561ac
hex614dabc

102030012 has 72 divisors (see below), whose sum is σ = 299202176. Its totient is φ = 28711584.

The previous prime is 102030007. The next prime is 102030059. The reversal of 102030012 is 210030201.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 102029976 and 102030003.

It is a congruent number.

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, 13863 + ... + 19905.

Almost surely, 2102030012 is an apocalyptic number.

102030012 is a gapful number since it is divisible by the number (12) 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 102030012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149601088).

102030012 is an abundant number, since it is smaller than the sum of its proper divisors (197172164).

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

102030012 is a wasteful number, since it uses less digits than its factorization.

102030012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6127 (or 6122 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 102030012 is about 10100.9906444863. The cubic root of 102030012 is about 467.2786938090.

Adding to 102030012 its reverse (210030201), we get a palindrome (312060213).

The spelling of 102030012 in words is "one hundred two million, thirty thousand, twelve".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 67 84 126 134 201 252 268 402 469 603 804 938 1206 1407 1876 2412 2814 4221 5628 6043 8442 12086 16884 18129 24172 36258 42301 54387 72516 84602 108774 126903 169204 217548 253806 380709 404881 507612 761418 809762 1214643 1522836 1619524 2429286 2834167 3643929 4858572 5668334 7287858 8502501 11336668 14575716 17005002 25507503 34010004 51015006 102030012