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20202100100 = 22527135341887
BaseRepresentation
bin10010110100001000…
…111001010110000100
31221010220211000110122
4102310020321112010
5312333214200400
613140345041112
71313425006010
oct226410712604
957126730418
1020202100100
1186276168a6
123ab9786198
131b9c518ab0
14d99093540
157d388c685
hex4b4239584

20202100100 has 144 divisors (see below), whose sum is σ = 54974481408. Its totient is φ = 6272847360.

The previous prime is 20202100097. The next prime is 20202100103. The reversal of 20202100100 is 100120202.

It is an interprime number because it is at equal distance from previous prime (20202100097) and next prime (20202100103).

It is not an unprimeable number, because it can be changed into a prime (20202100103) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 461357 + ... + 503243.

It is an arithmetic number, because the mean of its divisors is an integer number (381767232).

Almost surely, 220202100100 is an apocalyptic number.

20202100100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20202100100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27487240704).

20202100100 is an abundant number, since it is smaller than the sum of its proper divisors (34772381308).

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

20202100100 is a wasteful number, since it uses less digits than its factorization.

20202100100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41974 (or 41967 counting only the distinct ones).

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

Adding to 20202100100 its reverse (100120202), we get a palindrome (20302220302).

The spelling of 20202100100 in words is "twenty billion, two hundred two million, one hundred thousand, one hundred".

Divisors: 1 2 4 5 7 10 13 14 20 25 26 28 35 50 52 53 65 70 91 100 106 130 140 175 182 212 260 265 325 350 364 371 455 530 650 689 700 742 910 1060 1300 1325 1378 1484 1820 1855 2275 2650 2756 3445 3710 4550 4823 5300 6890 7420 9100 9275 9646 13780 17225 18550 19292 24115 34450 37100 41887 48230 68900 83774 96460 120575 167548 209435 241150 293209 418870 482300 544531 586418 837740 1047175 1089062 1172836 1466045 2094350 2178124 2220011 2722655 2932090 3811717 4188700 4440022 5445310 5864180 7330225 7623434 8880044 10890620 11100055 13613275 14660450 15246868 15540077 19058585 22200110 27226550 28860143 29320900 31080154 38117170 44400220 54453100 55500275 57720286 62160308 76234340 77700385 95292925 111000550 115440572 144300715 155400770 190585850 202021001 222001100 288601430 310801540 381171700 388501925 404042002 577202860 721503575 777003850 808084004 1010105005 1443007150 1554007700 2020210010 2886014300 4040420020 5050525025 10101050050 20202100100