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2010123012 = 2231967181727
BaseRepresentation
bin111011111010000…
…0000101100000100
312012002101211101110
41313310000230010
513104042414022
6531243525020
7100545522642
oct16764005404
95162354343
102010123012
11941731197
12481229770
132605acc01
14150d72192
15bb71200c
hex77d00b04

2010123012 has 96 divisors (see below), whose sum is σ = 5045447680. Its totient is φ = 620991360.

The previous prime is 2010123007. The next prime is 2010123043. The reversal of 2010123012 is 2103210102.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2764593 + ... + 2765319.

Almost surely, 22010123012 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 2010123012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2522723840).

2010123012 is an abundant number, since it is smaller than the sum of its proper divisors (3035324668).

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

2010123012 is a wasteful number, since it uses less digits than its factorization.

2010123012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1001 (or 999 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 2010123012 is about 44834.3954124509. The cubic root of 2010123012 is about 1262.0431728503.

Adding to 2010123012 its reverse (2103210102), we get a palindrome (4113333114).

The spelling of 2010123012 in words is "two billion, ten million, one hundred twenty-three thousand, twelve".

Divisors: 1 2 3 4 6 12 19 38 57 67 76 114 134 181 201 228 268 362 402 543 724 727 804 1086 1273 1454 2172 2181 2546 2908 3439 3819 4362 5092 6878 7638 8724 10317 12127 13756 13813 15276 20634 24254 27626 36381 41268 41439 48508 48709 55252 72762 82878 97418 131587 145524 146127 165756 194836 230413 263174 292254 394761 460826 526348 584508 691239 789522 921652 925471 1382478 1579044 1850942 2500153 2764956 2776413 3701884 5000306 5552826 7500459 8816329 10000612 11105652 15000918 17632658 26448987 30001836 35265316 52897974 105795948 167510251 335020502 502530753 670041004 1005061506 2010123012