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212020100202100 = 225243347142095101
BaseRepresentation
bin110000001101010011000110…
…110000011111111001110100
31000210200220221022210020001111
4300031103012300133321310
5210242214131122431400
62030532404524404404
762441642506250401
oct6015230660377164
91023626838706044
10212020100202100
1161613246236523
121b942aba6a6704
13913c54303ab78
143a4db82d2d2a8
15197a1e19203ba
hexc0d4c6c1fe74

212020100202100 has 72 divisors (see below), whose sum is σ = 472139963795808. Its totient is φ = 82597039728000.

The previous prime is 212020100202067. The next prime is 212020100202133. The reversal of 212020100202100 is 1202001020212.

It is a happy number.

212020100202100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (212020100202067) and next prime (212020100202133).

It is a congruent number.

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, 69555451 + ... + 72539650.

It is an arithmetic number, because the mean of its divisors is an integer number (6557499497164).

Almost surely, 2212020100202100 is an apocalyptic number.

212020100202100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212020100202100 is an abundant number, since it is smaller than the sum of its proper divisors (260119863593708).

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

212020100202100 is a wasteful number, since it uses less digits than its factorization.

212020100202100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142095505 (or 142095498 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 212020100202100 its reverse (1202001020212), we get a palindrome (213222101222312).

The spelling of 212020100202100 in words is "two hundred twelve trillion, twenty billion, one hundred million, two hundred two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 43 50 86 100 172 215 347 430 694 860 1075 1388 1735 2150 3470 4300 6940 8675 14921 17350 29842 34700 59684 74605 149210 298420 373025 746050 1492100 142095101 284190202 568380404 710475505 1420951010 2841902020 3552377525 6110089343 7104755050 12220178686 14209510100 24440357372 30550446715 49307000047 61100893430 98614000094 122201786860 152752233575 197228000188 246535000235 305504467150 493070000470 611008934300 986140000940 1232675001175 2120201002021 2465350002350 4240402004042 4930700004700 8480804008084 10601005010105 21202010020210 42404020040420 53005025050525 106010050101050 212020100202100