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122785741 = 1361672311
BaseRepresentation
bin1110101000110…
…00111111001101
322120001011101001
413110120333031
5222413120431
620103420301
73020442631
oct724307715
9276034331
10122785741
1163344821
1235154691
131c590bb0
1412442dc1
15aba5e61
hex7518fcd

122785741 has 16 divisors (see below), whose sum is σ = 136463488. Its totient is φ = 109771200.

The previous prime is 122785723. The next prime is 122785757. The reversal of 122785741 is 147587221.

It is a 3-Lehmer number, since φ(122785741) divides (122785741-1)3.

It is a cyclic number.

It is a Carmichael number.

It is not a de Polignac number, because 122785741 - 223 = 114397133 is a prime.

It is a deceptive number, since it divides R122785740.

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 122785741.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122785711) 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, 51976 + ... + 54286.

It is an arithmetic number, because the mean of its divisors is an integer number (8528968).

It is a Poulet number, since it divides 2122785740-1.

Almost surely, 2122785741 is an apocalyptic number.

It is an amenable number.

122785741 is a deficient number, since it is larger than the sum of its proper divisors (13677747).

122785741 is a wasteful number, since it uses less digits than its factorization.

122785741 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2452.

The product of its digits is 31360, while the sum is 37.

The square root of 122785741 is about 11080.8727544359. The cubic root of 122785741 is about 497.0300483704.

It can be divided in two parts, 1227 and 85741, that added together give a palindrome (86968).

The spelling of 122785741 in words is "one hundred twenty-two million, seven hundred eighty-five thousand, seven hundred forty-one".

Divisors: 1 13 61 67 793 871 2311 4087 30043 53131 140971 154837 1832623 2012881 9445057 122785741