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11057940361 = 133740956209
BaseRepresentation
bin10100100110001101…
…01100011110001001
31001112122110120110201
422103012230132021
5140121313042421
65025134012201
7541011641116
oct122306543611
931478416421
1011057940361
114764a12296
122187347061
131072c32ca0
1476c87390d
1544abd6b91
hex2931ac789

11057940361 has 16 divisors (see below), whose sum is σ = 12260525200. Its totient is φ = 9906997248.

The previous prime is 11057940319. The next prime is 11057940367. The reversal of 11057940361 is 16304975011.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 1606406400 + 9451533961 = 40080^2 + 97219^2 .

It is a 4-Lehmer number, since φ(11057940361) divides (11057940361-1)4.

It is a cyclic number.

It is not a de Polignac number, because 11057940361 - 223 = 11049551753 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a deceptive number, since it divides R11057940360.

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 11057940361.

It is not an unprimeable number, because it can be changed into a prime (11057940367) 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, 168625 + ... + 224833.

It is an arithmetic number, because the mean of its divisors is an integer number (766282825).

It is a Poulet number, since it divides 211057940360-1.

Almost surely, 211057940361 is an apocalyptic number.

11057940361 is the 56209-th nonagonal number.

It is an amenable number.

11057940361 is a deficient number, since it is larger than the sum of its proper divisors (1202584839).

11057940361 is a wasteful number, since it uses less digits than its factorization.

11057940361 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56668.

The product of its (nonzero) digits is 22680, while the sum is 37.

The spelling of 11057940361 in words is "eleven billion, fifty-seven million, nine hundred forty thousand, three hundred sixty-one".

Divisors: 1 13 37 409 481 5317 15133 56209 196729 730717 2079733 22989481 27036529 298863253 850610797 11057940361