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2130102132100 = 225270130386621
BaseRepresentation
bin11110111111110011111…
…110110001110110000100
321112122011110221221111021
4132333303332301312010
5234344422121211400
64310315545120524
7306615626244445
oct36776376616604
97478143857437
102130102132100
1175140a138308
122a49b2a89144
13125b38647ca7
14751517432cc
153a61ecb771a
hex1eff3fb1d84

2130102132100 has 36 divisors (see below), whose sum is σ = 4628915675748. Its totient is φ = 850825360000.

The previous prime is 2130102132061. The next prime is 2130102132113. The reversal of 2130102132100 is 12312010312.

It can be written as a sum of positive squares in 6 ways, for example, as 77146173504 + 2052955958596 = 277752^2 + 1432814^2 .

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, 15123211 + ... + 15263410.

It is an arithmetic number, because the mean of its divisors is an integer number (128580990993).

Almost surely, 22130102132100 is an apocalyptic number.

2130102132100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2130102132100 is an abundant number, since it is smaller than the sum of its proper divisors (2498813543648).

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

2130102132100 is a wasteful number, since it uses less digits than its factorization.

2130102132100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30387336 (or 30387329 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 2130102132100 its reverse (12312010312), we get a palindrome (2142414142412).

The spelling of 2130102132100 in words is "two trillion, one hundred thirty billion, one hundred two million, one hundred thirty-two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 701 1402 2804 3505 7010 14020 17525 35050 70100 30386621 60773242 121546484 151933105 303866210 607732420 759665525 1519331050 3038662100 21301021321 42602042642 85204085284 106505106605 213010213210 426020426420 532525533025 1065051066050 2130102132100