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122213113301988 = 223215931332130901
BaseRepresentation
bin11011110010011011110101…
…001101001000101111100100
3121000201110101222220022222100
4123302123311031020233210
5112004314424001130423
61111531532411332100
734512414606650322
oct3362336515105744
9530643358808870
10122213113301988
1135a39321408055
1211859878451030
1353268549a21a7
142227209420d12
15e1e09be3a343
hex6f26f5348be4

122213113301988 has 36 divisors (see below), whose sum is σ = 308927930844988. Its totient is φ = 40737659745600.

The previous prime is 122213113301987. The next prime is 122213113301989. The reversal of 122213113301988 is 889103311312221.

122213113301988 is a `hidden beast` number, since 1 + 2 + 2 + 21 + 311 + 3 + 301 + 9 + 8 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (122213113301987) and next prime (122213113301989).

It can be written as a sum of positive squares in 2 ways, for example, as 84138388599204 + 38074724702784 = 9172698^2 + 6170472^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-5 number, since 5×1222131133019885 (a number of 72 digits) contains 55555 as substring.

It is not an unprimeable number, because it can be changed into a prime (122213113301987) 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, 56287338 + ... + 58418238.

Almost surely, 2122213113301988 is an apocalyptic number.

122213113301988 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

122213113301988 is an abundant number, since it is smaller than the sum of its proper divisors (186714817543000).

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

122213113301988 is a wasteful number, since it uses less digits than its factorization.

122213113301988 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3724044 (or 3724039 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The spelling of 122213113301988 in words is "one hundred twenty-two trillion, two hundred thirteen billion, one hundred thirteen million, three hundred one thousand, nine hundred eighty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 1593133 2130901 3186266 4261802 4779399 6372532 6392703 8523604 9558798 12785406 14338197 19117596 19178109 25570812 28676394 38356218 57352788 76712436 3394808702833 6789617405666 10184426108499 13579234811332 20368852216998 30553278325497 40737704433996 61106556650994 122213113301988