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212131120212 = 223311178561549
BaseRepresentation
bin1100010110010000000…
…0000000010001010100
3202021112210010102222000
43011210000000101110
511433421031321322
6241241322035300
721216543525264
oct3054400002124
9667483112860
10212131120212
1181a6753a390
1235142348b30
13170086a230b
14a3a52b17a4
1557b84953ac
hex3164000454

212131120212 has 48 divisors (see below), whose sum is σ = 599966808000. Its totient is φ = 64282157280.

The previous prime is 212131120211. The next prime is 212131120309. The reversal of 212131120212 is 212021131212.

212131120212 is a `hidden beast` number, since 2 + 121 + 311 + 20 + 212 = 666.

It is a super-2 number, since 2×2121311202122 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212131120211) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 89279587 + ... + 89281962.

It is an arithmetic number, because the mean of its divisors is an integer number (12499308500).

Almost surely, 2212131120212 is an apocalyptic number.

212131120212 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

212131120212 is an abundant number, since it is smaller than the sum of its proper divisors (387835687788).

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

212131120212 is a wasteful number, since it uses less digits than its factorization.

212131120212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178561573 (or 178561565 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 212131120212 its reverse (212021131212), we get a palindrome (424152251424).

The spelling of 212131120212 in words is "two hundred twelve billion, one hundred thirty-one million, one hundred twenty thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 99 108 132 198 297 396 594 1188 178561549 357123098 535684647 714246196 1071369294 1607053941 1964177039 2142738588 3214107882 3928354078 4821161823 5892531117 6428215764 7856708156 9642323646 11785062234 17677593351 19284647292 23570124468 35355186702 53032780053 70710373404 106065560106 212131120212