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212131120135132 = 221146189101117373
BaseRepresentation
bin110000001110111010100000…
…000011111011101111011100
31000211002112111111101011112001
4300032322200003323233130
5210301024013223311012
62031055405151052044
762452652624151502
oct6016724003735734
91024075444334461
10212131120135132
11616563370843a0
121b960522b11024
139149b56933a33
143a552b576c672
15197d03d335357
hexc0eea00fbbdc

212131120135132 has 48 divisors (see below), whose sum is σ = 405864082207584. Its totient is φ = 96212175840000.

The previous prime is 212131120135127. The next prime is 212131120135183. The reversal of 212131120135132 is 231531021131212.

It is a super-2 number, since 2×2121311201351322 (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 212131120135132.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1807265998 + ... + 1807383370.

It is an arithmetic number, because the mean of its divisors is an integer number (8455501712658).

Almost surely, 2212131120135132 is an apocalyptic number.

212131120135132 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

212131120135132 is a deficient number, since it is larger than the sum of its proper divisors (193732962072452).

212131120135132 is a wasteful number, since it uses less digits than its factorization.

212131120135132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206950 (or 206948 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 28.

Adding to 212131120135132 its reverse (231531021131212), we get a palindrome (443662141266344).

The spelling of 212131120135132 in words is "two hundred twelve trillion, one hundred thirty-one billion, one hundred twenty million, one hundred thirty-five thousand, one hundred thirty-two".

Divisors: 1 2 4 11 22 44 461 922 1844 5071 10142 20284 89101 117373 178202 234746 356404 469492 980111 1291103 1960222 2582206 3920444 5164412 41075561 54108953 82151122 108217906 164302244 216435812 451831171 595198483 903662342 1190396966 1807324684 2380793932 10458051673 20916103346 41832206692 115038568403 230077136806 460154273612 4821161821253 9642323642506 19284647285012 53032780033783 106065560067566 212131120135132