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2002110011300 = 2252779222116301
BaseRepresentation
bin11101001000100111000…
…011100101011110100100
321002101210111012112022202
4131020213003211132210
5230300310130330200
64131431233514032
7264435103206350
oct35104703453644
97071714175282
102002110011300
117020a99a7583
12284032712918
13116a4b748c79
146cc8cbc4460
153712d3711d5
hex1d2270e57a4

2002110011300 has 144 divisors (see below), whose sum is σ = 5030656350720. Its totient is φ = 677401920000.

The previous prime is 2002110011287. The next prime is 2002110011311. The reversal of 2002110011300 is 31100112002.

It is a super-2 number, since 2×20021100113002 (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 122813150 + ... + 122829450.

Almost surely, 22002110011300 is an apocalyptic number.

2002110011300 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 2002110011300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2515328175360).

2002110011300 is an abundant number, since it is smaller than the sum of its proper divisors (3028546339420).

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

2002110011300 is a wasteful number, since it uses less digits than its factorization.

2002110011300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18622 (or 18615 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 11.

Adding to 2002110011300 its reverse (31100112002), we get a palindrome (2033210123302).

The spelling of 2002110011300 in words is "two trillion, two billion, one hundred ten million, eleven thousand, three hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 79 100 140 158 175 316 350 395 553 700 790 1106 1580 1975 2212 2221 2765 3950 4442 5530 7900 8884 11060 11105 13825 15547 16301 22210 27650 31094 32602 44420 55300 55525 62188 65204 77735 81505 111050 114107 155470 163010 175459 222100 228214 310940 326020 350918 388675 407525 456428 570535 701836 777350 815050 877295 1141070 1228213 1287779 1554700 1630100 1754590 2282140 2456426 2575558 2852675 3509180 4386475 4912852 5151116 5705350 6141065 6438895 8772950 9014453 11410700 12282130 12877790 17545900 18028906 24564260 25755580 30705325 32194475 36057812 36204521 45072265 61410650 64388950 72409042 90144530 122821300 128777900 144818084 180289060 181022605 225361325 253431647 362045210 450722650 506863294 724090420 901445300 905113025 1013726588 1267158235 1810226050 2534316470 2860157159 3620452100 5068632940 5720314318 6335791175 11440628636 12671582350 14300785795 20021100113 25343164700 28601571590 40042200226 57203143180 71503928975 80084400452 100105500565 143007857950 200211001130 286015715900 400422002260 500527502825 1001055005650 2002110011300