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12270268417 = 112101407177
BaseRepresentation
bin10110110110101110…
…10111000000000001
31011200010200012220211
423123113113000001
5200112142042132
65345322234121
7613032363211
oct133327270001
934603605824
1012270268417
115227279300
122465355941
131207152874
14845892241
154bc35a147
hex2db5d7001

12270268417 has 6 divisors (see below), whose sum is σ = 13487154674. Its totient is φ = 11154789360.

The previous prime is 12270268391. The next prime is 12270268421. The reversal of 12270268417 is 71486207221.

It can be written as a sum of positive squares in only one way, i.e., 10746224896 + 1524043521 = 103664^2 + 39039^2 .

It is a de Polignac number, because none of the positive numbers 2k-12270268417 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 12270268417.

It is not an unprimeable number, because it can be changed into a prime (12270268477) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 50703468 + ... + 50703709.

Almost surely, 212270268417 is an apocalyptic number.

It is an amenable number.

12270268417 is a deficient number, since it is larger than the sum of its proper divisors (1216886257).

12270268417 is a wasteful number, since it uses less digits than its factorization.

12270268417 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101407199 (or 101407188 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 40.

The spelling of 12270268417 in words is "twelve billion, two hundred seventy million, two hundred sixty-eight thousand, four hundred seventeen".

Divisors: 1 11 121 101407177 1115478947 12270268417