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20200202100 = 223252131726513
BaseRepresentation
bin10010110100000001…
…101001111101110100
31221010210020120220100
4102310001221331310
5312332222431400
613140240234100
71313402612331
oct226401517564
957123216810
1020200202100
11862653a901
123ab900b930
131b9c002c10
14d98b1b988
157d3615100
hex4b4069f74

20200202100 has 108 divisors (see below), whose sum is σ = 68186943916. Its totient is φ = 4972354560.

The previous prime is 20200202053. The next prime is 20200202153. The reversal of 20200202100 is 120200202.

Adding to 20200202100 its reverse (120200202), we get a palindrome (20320402302).

It can be written as a sum of positive squares in 6 ways, for example, as 7014732516 + 13185469584 = 83754^2 + 114828^2 .

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 851557 + ... + 874956.

Almost surely, 220200202100 is an apocalyptic number.

20200202100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20200202100 is an abundant number, since it is smaller than the sum of its proper divisors (47986741816).

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

20200202100 is a wasteful number, since it uses less digits than its factorization.

20200202100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1726546 (or 1726536 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

The spelling of 20200202100 in words is "twenty billion, two hundred million, two hundred two thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 25 26 30 36 39 45 50 52 60 65 75 78 90 100 117 130 150 156 180 195 225 234 260 300 325 390 450 468 585 650 780 900 975 1170 1300 1950 2340 2925 3900 5850 11700 1726513 3453026 5179539 6906052 8632565 10359078 15538617 17265130 20718156 22444669 25897695 31077234 34530260 43162825 44889338 51795390 62154468 67334007 77693085 86325650 89778676 103590780 112223345 129488475 134668014 155386170 172651300 202002021 224446690 258976950 269336028 310772340 336670035 388465425 404004042 448893380 517953900 561116725 673340070 776930850 808008084 1010010105 1122233450 1346680140 1553861700 1683350175 2020020210 2244466900 3366700350 4040040420 5050050525 6733400700 10100101050 20200202100