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2110020100 = 225253398117
BaseRepresentation
bin111110111000100…
…0101101000000100
312110001101010102121
41331301011220010
513310131120400
6545213015324
7103200606046
oct17561055004
95401333377
102110020100
11993062371
124aa784544
132781b8906
14160337a96
15c539621a
hex7dc45a04

2110020100 has 36 divisors (see below), whose sum is σ = 4665146724. Its totient is φ = 828081280.

The previous prime is 2110020089. The next prime is 2110020137. The reversal of 2110020100 is 10200112.

It can be written as a sum of positive squares in 6 ways, for example, as 118897216 + 1991122884 = 10904^2 + 44622^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 193759 + ... + 204358.

It is an arithmetic number, because the mean of its divisors is an integer number (129587409).

Almost surely, 22110020100 is an apocalyptic number.

2110020100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2110020100 is an abundant number, since it is smaller than the sum of its proper divisors (2555126624).

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

2110020100 is a wasteful number, since it uses less digits than its factorization.

2110020100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 398184 (or 398177 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

The square root of 2110020100 is about 45934.9550995753. The cubic root of 2110020100 is about 1282.6126851097.

Adding to 2110020100 its reverse (10200112), we get a palindrome (2120220212).

The spelling of 2110020100 in words is "two billion, one hundred ten million, twenty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 53 100 106 212 265 530 1060 1325 2650 5300 398117 796234 1592468 1990585 3981170 7962340 9952925 19905850 21100201 39811700 42200402 84400804 105501005 211002010 422004020 527505025 1055010050 2110020100