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2012222222100 = 2232522397208803
BaseRepresentation
bin11101010010000001110…
…010100110111100010100
321010100220020010001201200
4131102001302212330110
5230432012342101400
64140222505352500
7265243512451446
oct35220162467424
97110806101650
102012222222100
11706418a93192
12285b95198730
131179a0763b5c
146d56bbd6496
1537520ee6b00
hex1d481ca6f14

2012222222100 has 108 divisors (see below), whose sum is σ = 6581424866016. Its totient is φ = 513262474560.

The previous prime is 2012222222063. The next prime is 2012222222111. The reversal of 2012222222100 is 12222222102.

2012222222100 is a `hidden beast` number, since 201 + 22 + 222 + 221 + 0 + 0 = 666.

It is a super-2 number, since 2×20122222221002 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 48583702 + ... + 48625101.

Almost surely, 22012222222100 is an apocalyptic number.

2012222222100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2012222222100 is an abundant number, since it is smaller than the sum of its proper divisors (4569202643916).

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

2012222222100 is a wasteful number, since it uses less digits than its factorization.

2012222222100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97208846 (or 97208836 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 2012222222100 its reverse (12222222102), we get a palindrome (2024444444202).

It can be divided in two parts, 2012222 and 222100, that added together give a palindrome (2234322).

The spelling of 2012222222100 in words is "two trillion, twelve billion, two hundred twenty-two million, two hundred twenty-two thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 23 25 30 36 45 46 50 60 69 75 90 92 100 115 138 150 180 207 225 230 276 300 345 414 450 460 575 690 828 900 1035 1150 1380 1725 2070 2300 3450 4140 5175 6900 10350 20700 97208803 194417606 291626409 388835212 486044015 583252818 874879227 972088030 1166505636 1458132045 1749758454 1944176060 2235802469 2430220075 2916264090 3499516908 4374396135 4471604938 4860440150 5832528180 6707407407 7290660225 8748792270 8943209876 9720880300 11179012345 13414814814 14581320450 17497584540 20122222221 21871980675 22358024690 26829629628 29162640900 33537037035 40244444442 43743961350 44716049380 55895061725 67074074070 80488888884 87487922700 100611111105 111790123450 134148148140 167685185175 201222222210 223580246900 335370370350 402444444420 503055555525 670740740700 1006111111050 2012222222100