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20002100011120 = 2451393557505693
BaseRepresentation
bin1001000110001000110100…
…00100001110000001110000
32121211011220202000010100101
410203010122010032001300
510110203300100323440
6110312500552402144
74133050453563163
oct443043204160160
977734822003311
1020002100011120
116411930003517
1222b065a9a6354
13b212613a6976
144d216d10bada
1524a47940169a
hex12311a10e070

20002100011120 has 80 divisors (see below), whose sum is σ = 46852710922080. Its totient is φ = 7941031160832.

The previous prime is 20002100011067. The next prime is 20002100011147. The reversal of 20002100011120 is 2111000120002.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 20002100011097 and 20002100011106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39300994 + ... + 39806686.

It is an arithmetic number, because the mean of its divisors is an integer number (585658886526).

Almost surely, 220002100011120 is an apocalyptic number.

20002100011120 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 20002100011120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23426355461040).

20002100011120 is an abundant number, since it is smaller than the sum of its proper divisors (26850610910960).

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

20002100011120 is a wasteful number, since it uses less digits than its factorization.

20002100011120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 509402 (or 509396 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 20002100011120 its reverse (2111000120002), we get a palindrome (22113100131122).

The spelling of 20002100011120 in words is "twenty trillion, two billion, one hundred million, eleven thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 139 278 556 695 1112 1390 2224 2780 3557 5560 7114 11120 14228 17785 28456 35570 56912 71140 142280 284560 494423 505693 988846 1011386 1977692 2022772 2472115 2528465 3955384 4045544 4944230 5056930 7910768 8091088 9888460 10113860 19776920 20227720 39553840 40455440 70291327 140582654 281165308 351456635 562330616 702913270 1124661232 1405826540 1798750001 2811653080 3597500002 5623306160 7195000004 8993750005 14390000008 17987500010 28780000016 35975000020 71950000040 143900000080 250026250139 500052500278 1000105000556 1250131250695 2000210001112 2500262501390 4000420002224 5000525002780 10001050005560 20002100011120