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20132212210100 = 2252414910295661
BaseRepresentation
bin1001001001111011001010…
…10110110111100110110100
32122021121202111001200000222
410210331211112313212310
510114321232311210400
6110452335520353512
74145334662201234
oct444754526674664
978247674050028
1020132212210100
116462028a46381
122311911175898
13b305c85a3713
144d8593461cc4
1524da42029185
hex124f655b79b4

20132212210100 has 36 divisors (see below), whose sum is σ = 44752434663468. Its totient is φ = 7856473056000.

The previous prime is 20132212210087. The next prime is 20132212210151. The reversal of 20132212210100 is 101221223102.

It can be written as a sum of positive squares in 6 ways, for example, as 113442323344 + 20018769886756 = 336812^2 + 4474234^2 .

It is a congruent number.

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, 2455143731 + ... + 2455151930.

Almost surely, 220132212210100 is an apocalyptic number.

20132212210100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20132212210100 is an abundant number, since it is smaller than the sum of its proper divisors (24620222453368).

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

20132212210100 is a wasteful number, since it uses less digits than its factorization.

20132212210100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4910295716 (or 4910295709 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 20132212210100 its reverse (101221223102), we get a palindrome (20233433433202).

The spelling of 20132212210100 in words is "twenty trillion, one hundred thirty-two billion, two hundred twelve million, two hundred ten thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 41 50 82 100 164 205 410 820 1025 2050 4100 4910295661 9820591322 19641182644 24551478305 49102956610 98205913220 122757391525 201322122101 245514783050 402644244202 491029566100 805288488404 1006610610505 2013221221010 4026442442020 5033053052525 10066106105050 20132212210100