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213122012301 = 33114117502013
BaseRepresentation
bin1100011001111100001…
…1111101010010001101
3202101002211122222101000
43012133003331102031
511442433213343201
6241523520210513
721253235133432
oct3063703752215
9671084588330
10213122012301
1182425902270
123537a169a39
1317135a709b3
14a45ab2bb89
155825477d86
hex319f0fd48d

213122012301 has 32 divisors (see below), whose sum is σ = 352840602240. Its totient is φ = 126014486400.

The previous prime is 213122012267. The next prime is 213122012309. The reversal of 213122012301 is 103210221312.

213122012301 is a `hidden beast` number, since 2 + 131 + 220 + 12 + 301 = 666.

It is not a de Polignac number, because 213122012301 - 211 = 213122010253 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213122012309) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8738830 + ... + 8763183.

It is an arithmetic number, because the mean of its divisors is an integer number (11026268820).

Almost surely, 2213122012301 is an apocalyptic number.

It is an amenable number.

213122012301 is a deficient number, since it is larger than the sum of its proper divisors (139718589939).

213122012301 is a wasteful number, since it uses less digits than its factorization.

213122012301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17502074 (or 17502068 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 213122012301 its reverse (103210221312), we get a palindrome (316332233613).

The spelling of 213122012301 in words is "two hundred thirteen billion, one hundred twenty-two million, twelve thousand, three hundred one".

Divisors: 1 3 9 11 27 33 41 99 123 297 369 451 1107 1353 4059 12177 17502013 52506039 157518117 192522143 472554351 577566429 717582533 1732699287 2152747599 5198097861 6458242797 7893407863 19374728391 23680223589 71040670767 213122012301