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20122031100 = 2235280538329
BaseRepresentation
bin10010101111010111…
…011101001111111100
31220221100011002110010
4102233113131033330
5312202214443400
613124404543220
71311433304463
oct225727351774
956840132403
1020122031100
1185963a8876
123a969b1b10
131b88a631a2
14d8c5ad9da
157cb823450
hex4af5dd3fc

20122031100 has 72 divisors (see below), whose sum is σ = 58233963760. Its totient is φ = 5364564480.

The previous prime is 20122031081. The next prime is 20122031107. The reversal of 20122031100 is 113022102.

It is a super-2 number, since 2×201220311002 (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20122031107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2411736 + ... + 2420064.

Almost surely, 220122031100 is an apocalyptic number.

20122031100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20122031100 is an abundant number, since it is smaller than the sum of its proper divisors (38111932660).

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

20122031100 is a wasteful number, since it uses less digits than its factorization.

20122031100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16399 (or 16392 counting only the distinct ones).

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

Adding to 20122031100 its reverse (113022102), we get a palindrome (20235053202).

The spelling of 20122031100 in words is "twenty billion, one hundred twenty-two million, thirty-one thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 8053 8329 16106 16658 24159 24987 32212 33316 40265 41645 48318 49974 80530 83290 96636 99948 120795 124935 161060 166580 201325 208225 241590 249870 402650 416450 483180 499740 603975 624675 805300 832900 1207950 1249350 2415900 2498700 67073437 134146874 201220311 268293748 335367185 402440622 670734370 804881244 1006101555 1341468740 1676835925 2012203110 3353671850 4024406220 5030507775 6707343700 10061015550 20122031100