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212020122100 = 22522120201221
BaseRepresentation
bin1100010101110101100…
…0100101000111110100
3202021021001021011011211
43011131120211013310
511433204122401400
6241222315011204
721214025205523
oct3053530450764
9667231234154
10212020122100
1181a0a916906
1235111139b04
1316cbb6aa867
14a39465a4ba
1557ad86bdba
hex315d6251f4

212020122100 has 18 divisors (see below), whose sum is σ = 460083665174. Its totient is φ = 84808048800.

The previous prime is 212020122091. The next prime is 212020122101. The reversal of 212020122100 is 1221020212.

It is a happy number.

212020122100 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 3 ways, for example, as 21047626084 + 190972496016 = 145078^2 + 437004^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212020122101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1060100511 + ... + 1060100710.

Almost surely, 2212020122100 is an apocalyptic number.

212020122100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212020122100 is an abundant number, since it is smaller than the sum of its proper divisors (248063543074).

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

212020122100 is a wasteful number, since it uses less digits than its factorization.

212020122100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2120201235 (or 2120201228 counting only the distinct ones).

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

Adding to 212020122100 its reverse (1221020212), we get a palindrome (213241142312).

The spelling of 212020122100 in words is "two hundred twelve billion, twenty million, one hundred twenty-two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 2120201221 4240402442 8480804884 10601006105 21202012210 42404024420 53005030525 106010061050 212020122100