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212022012100 = 225221131003417
BaseRepresentation
bin1100010101110101111…
…1110010100011000100
3202021021011211011202211
43011131133302203010
511433210113341400
6241222423313204
721214050236653
oct3053537624304
9667234734684
10212022012100
1181a10997898
12351118ab804
1316cbbbbcbc2
14a3949cd19a
1557adae1dba
hex315d7f28c4

212022012100 has 36 divisors (see below), whose sum is σ = 460305966484. Its totient is φ = 84768583680.

The previous prime is 212022012089. The next prime is 212022012109. The reversal of 212022012100 is 1210220212.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 97508805696 + 114513206404 = 312264^2 + 338398^2 .

It is a super-2 number, since 2×2120220121002 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (212022012109) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 290409 + ... + 713008.

Almost surely, 2212022012100 is an apocalyptic number.

212022012100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212022012100 is an abundant number, since it is smaller than the sum of its proper divisors (248283954384).

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

212022012100 is a wasteful number, since it uses less digits than its factorization.

212022012100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1005544 (or 1005537 counting only the distinct ones).

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

Adding to 212022012100 its reverse (1210220212), we get a palindrome (213232232312).

It can be divided in two parts, 21202 and 2012100, that added together give a palindrome (2033302).

The spelling of 212022012100 in words is "two hundred twelve billion, twenty-two million, twelve thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 2113 4226 8452 10565 21130 42260 52825 105650 211300 1003417 2006834 4013668 5017085 10034170 20068340 25085425 50170850 100341700 2120220121 4240440242 8480880484 10601100605 21202201210 42404402420 53005503025 106011006050 212022012100