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212020012120100 = 225216371295174173
BaseRepresentation
bin110000001101010011000001…
…100000011111100000100100
31000210200220201012001012021012
4300031103001200133200210
5210242213441100320400
62030532352100441352
762441640356463512
oct6015230140374044
91023626635035235
10212020012120100
1161613200545188
121b942a950a9258
13913c52aa0ac42
143a4db753614b2
15197a1d8d21d35
hexc0d4c181f824

212020012120100 has 36 divisors (see below), whose sum is σ = 460364479451604. Its totient is φ = 84756197815680.

The previous prime is 212020012120069. The next prime is 212020012120123. The reversal of 212020012120100 is 1021210020212.

It can be written as a sum of positive squares in 6 ways, for example, as 83777116104256 + 128242896015844 = 9152984^2 + 11324438^2 .

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, 647423387 + ... + 647750786.

It is an arithmetic number, because the mean of its divisors is an integer number (12787902206989).

Almost surely, 2212020012120100 is an apocalyptic number.

212020012120100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212020012120100 is an abundant number, since it is smaller than the sum of its proper divisors (248344467331504).

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

212020012120100 is a wasteful number, since it uses less digits than its factorization.

212020012120100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1295175824 (or 1295175817 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 212020012120100 its reverse (1021210020212), we get a palindrome (213041222140312).

The spelling of 212020012120100 in words is "two hundred twelve trillion, twenty billion, twelve million, one hundred twenty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 1637 3274 6548 8185 16370 32740 40925 81850 163700 1295174173 2590348346 5180696692 6475870865 12951741730 25903483460 32379354325 64758708650 129517417300 2120200121201 4240400242402 8480800484804 10601000606005 21202001212010 42404002424020 53005003030025 106010006060050 212020012120100