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412101012 = 223172637681
BaseRepresentation
bin11000100100000…
…010100110010100
31001201102220022110
4120210002212110
51320444213022
6104520431020
713132541451
oct3044024624
91051386273
10412101012
111a1690654
12b6018470
13674ba56b
143ca34828
15262a400c
hex18902994

412101012 has 48 divisors (see below), whose sum is σ = 1022136192. Its totient is φ = 128778240.

The previous prime is 412101007. The next prime is 412101031. The reversal of 412101012 is 210101214.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an alternating number because its digits alternate between even and odd.

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, 49812 + ... + 57492.

It is an arithmetic number, because the mean of its divisors is an integer number (21294504).

Almost surely, 2412101012 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 412101012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (511068096).

412101012 is an abundant number, since it is smaller than the sum of its proper divisors (610035180).

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

412101012 is a wasteful number, since it uses less digits than its factorization.

412101012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7968 (or 7966 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

The square root of 412101012 is about 20300.2712297151. The cubic root of 412101012 is about 744.1626927710.

Adding to 412101012 its reverse (210101214), we get a palindrome (622202226).

The spelling of 412101012 in words is "four hundred twelve million, one hundred one thousand, twelve".

Divisors: 1 2 3 4 6 12 17 34 51 68 102 204 263 526 789 1052 1578 3156 4471 7681 8942 13413 15362 17884 23043 26826 30724 46086 53652 92172 130577 261154 391731 522308 783462 1566924 2020103 4040206 6060309 8080412 12120618 24241236 34341751 68683502 103025253 137367004 206050506 412101012