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2012001012 = 223376434139
BaseRepresentation
bin111011111101100…
…1011001011110100
312012012221020112000
41313323023023310
513110033013022
6531352055300
7100600504110
oct16773131364
95165836460
102012001012
119427a415a
12481994530
13260ab9958
14151300740
15bb9836ac
hex77ecb2f4

2012001012 has 96 divisors (see below), whose sum is σ = 5972198400. Its totient is φ = 573824736.

The previous prime is 2012001007. The next prime is 2012001023. The reversal of 2012001012 is 2101002102.

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 = 2012000985 and 2012001003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 484039 + ... + 488177.

It is an arithmetic number, because the mean of its divisors is an integer number (62210400).

Almost surely, 22012001012 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 2012001012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2986099200).

2012001012 is an abundant number, since it is smaller than the sum of its proper divisors (3960197388).

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

2012001012 is a wasteful number, since it uses less digits than its factorization.

2012001012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4802 (or 4794 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 2012001012 is about 44855.3342647226. The cubic root of 2012001012 is about 1262.4360807034.

Adding to 2012001012 its reverse (2101002102), we get a palindrome (4113003114).

The spelling of 2012001012 in words is "two billion, twelve million, one thousand, twelve".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 84 108 126 189 252 378 643 756 1286 1929 2572 3858 4139 4501 5787 7716 8278 9002 11574 12417 13503 16556 17361 18004 23148 24834 27006 28973 34722 37251 40509 49668 54012 57946 69444 74502 81018 86919 111753 115892 121527 149004 162036 173838 223506 243054 260757 347676 447012 486108 521514 782271 1043028 1564542 2661377 3129084 5322754 7984131 10645508 15968262 18629639 23952393 31936524 37259278 47904786 55888917 71857179 74518556 95809572 111777834 143714358 167666751 223555668 287428716 335333502 503000253 670667004 1006000506 2012001012