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20001220100988 = 223710114511624757
BaseRepresentation
bin1001000110000111001011…
…00111101000001101111100
32121211002122102022001120020
410203003211213220031330
510110144444321212423
6110312233401052140
74133016610506420
oct443034547501574
977732572261506
1020001220100988
116411519352a65
1222b0454187050
13b21150cc5599
144d20c8300b80
1524a4270424e3
hex1230e59e837c

20001220100988 has 96 divisors (see below), whose sum is σ = 53901827578368. Its totient is φ = 5654150880000.

The previous prime is 20001220100959. The next prime is 20001220100993. The reversal of 20001220100988 is 88900102210002.

It is a super-2 number, since 2×200012201009882 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11497906 + ... + 13122662.

It is an arithmetic number, because the mean of its divisors is an integer number (561477370608).

Almost surely, 220001220100988 is an apocalyptic number.

20001220100988 is a gapful number since it is divisible by the number (28) 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 20001220100988, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26950913789184).

20001220100988 is an abundant number, since it is smaller than the sum of its proper divisors (33900607477380).

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

20001220100988 is a wasteful number, since it uses less digits than its factorization.

20001220100988 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1626323 (or 1626321 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 33.

The spelling of 20001220100988 in words is "twenty trillion, one billion, two hundred twenty million, one hundred thousand, nine hundred eighty-eight".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 101 202 303 404 606 707 1212 1414 1451 2121 2828 2902 4242 4353 5804 8484 8706 10157 17412 20314 30471 40628 60942 121884 146551 293102 439653 586204 879306 1025857 1624757 1758612 2051714 3077571 3249514 4103428 4874271 6155142 6499028 9748542 11373299 12310284 19497084 22746598 34119897 45493196 68239794 136479588 164100457 328200914 492301371 656401828 984602742 1148703199 1969205484 2297406398 2357522407 3446109597 4594812796 4715044814 6892219194 7072567221 9430089628 13784438388 14145134442 16502656849 28290268884 33005313698 49507970547 66010627396 99015941094 198031882188 238109763107 476219526214 714329289321 952439052428 1428658578642 1666768341749 2857317157284 3333536683498 5000305025247 6667073366996 10000610050494 20001220100988