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12220010100 = 22325213577789
BaseRepresentation
bin10110110000101111…
…01000111001110100
31011112122002211110200
423120113220321310
5200011310310400
65340325120500
7611552241414
oct133027507164
934478084420
1012220010100
115200971501
122450559130
1311c9906a0c
1483cd2c644
154b7c2db00
hex2d85e8e74

12220010100 has 54 divisors (see below), whose sum is σ = 38302945590. Its totient is φ = 3258669120.

The previous prime is 12220010059. The next prime is 12220010119. The reversal of 12220010100 is 101002221.

It can be written as a sum of positive squares in 3 ways, for example, as 107246736 + 12112763364 = 10356^2 + 110058^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 6787995 + ... + 6789794.

Almost surely, 212220010100 is an apocalyptic number.

12220010100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12220010100 is an abundant number, since it is smaller than the sum of its proper divisors (26082935490).

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

12220010100 is a wasteful number, since it uses less digits than its factorization.

12220010100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13577809 (or 13577799 counting only the distinct ones).

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

Adding to 12220010100 its reverse (101002221), we get a palindrome (12321012321).

The spelling of 12220010100 in words is "twelve billion, two hundred twenty million, ten thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 225 300 450 900 13577789 27155578 40733367 54311156 67888945 81466734 122200101 135777890 162933468 203666835 244400202 271555780 339444725 407333670 488800404 611000505 678889450 814667340 1018334175 1222001010 1357778900 2036668350 2444002020 3055002525 4073336700 6110005050 12220010100