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202121212122100 = 22527327687837277
BaseRepresentation
bin101101111101010000000011…
…000011001101001111110100
3222111122121011210110200222001
4231331100003003031033310
5202443023220300401400
61553513111502545044
760400530026001625
oct5575200303151764
9874577153420861
10202121212122100
1159447140a54557
121a804540b98184
1388a1c43b8750b
1437caa0c7c3a4c
151857983654a6a
hexb7d4030cd3f4

202121212122100 has 36 divisors (see below), whose sum is σ = 444611291010124. Its totient is φ = 79740971354880.

The previous prime is 202121212122097. The next prime is 202121212122143. The reversal of 202121212122100 is 1221212121202.

202121212122100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 16775151679504 + 185346060442596 = 4095748^2 + 13614186^2 .

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, 13843911339 + ... + 13843925938.

Almost surely, 2202121212122100 is an apocalyptic number.

202121212122100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202121212122100 is an abundant number, since it is smaller than the sum of its proper divisors (242490078888024).

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

202121212122100 is a wasteful number, since it uses less digits than its factorization.

202121212122100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27687837364 (or 27687837357 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 19.

Adding to 202121212122100 its reverse (1221212121202), we get a palindrome (203342424243302).

The spelling of 202121212122100 in words is "two hundred two trillion, one hundred twenty-one billion, two hundred twelve million, one hundred twenty-two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 73 100 146 292 365 730 1460 1825 3650 7300 27687837277 55375674554 110751349108 138439186385 276878372770 553756745540 692195931925 1384391863850 2021212121221 2768783727700 4042424242442 8084848484884 10106060606105 20212121212210 40424242424420 50530303030525 101060606061050 202121212122100