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2000120102010 = 232529766329541
BaseRepresentation
bin11101000110110000011…
…100101011110001111010
321002012122210211122221200
4131012300130223301322
5230232221221231020
64130501551115030
7264334561232502
oct35066034536172
97065583748850
102000120102010
11701278722248
12283778212a76
131167c23c5854
146cb407d4a02
1537063803590
hex1d1b072bc7a

2000120102010 has 48 divisors (see below), whose sum is σ = 5379633384840. Its totient is φ = 514973450880.

The previous prime is 2000120102009. The next prime is 2000120102051. The reversal of 2000120102010 is 102010210002.

It can be written as a sum of positive squares in 4 ways, for example, as 1988886857841 + 11233244169 = 1410279^2 + 105987^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 2000120101983 and 2000120102001.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 383162161 + ... + 383167380.

Almost surely, 22000120102010 is an apocalyptic number.

2000120102010 is an abundant number, since it is smaller than the sum of its proper divisors (3379513282830).

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

2000120102010 is a wasteful number, since it uses less digits than its factorization.

2000120102010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 766329583 (or 766329580 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 2000120102010 its reverse (102010210002), we get a palindrome (2102130312012).

The spelling of 2000120102010 in words is "two trillion, one hundred twenty million, one hundred two thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 29 30 45 58 87 90 145 174 261 290 435 522 870 1305 2610 766329541 1532659082 2298988623 3831647705 4597977246 6896965869 7663295410 11494943115 13793931738 22223556689 22989886230 34484829345 44447113378 66670670067 68969658690 111117783445 133341340134 200012010201 222235566890 333353350335 400024020402 666706700670 1000060051005 2000120102010