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11353806141 = 331412977657
BaseRepresentation
bin10101001001011110…
…10101010100111101
31002022021012010000120
422210233111110331
5141223033244031
65114343245153
7551233521426
oct124457252475
932267163016
1011353806141
1148a6a22667
12224a4497b9
1310bc3140b2
14799c8c64d
15466b7aa96
hex2a4bd553d

11353806141 has 16 divisors (see below), whose sum is σ = 16007889408. Its totient is φ = 7146374400.

The previous prime is 11353806137. The next prime is 11353806151. The reversal of 11353806141 is 14160835311.

It is not a de Polignac number, because 11353806141 - 22 = 11353806137 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11353806151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1485016 + ... + 1492641.

It is an arithmetic number, because the mean of its divisors is an integer number (1000493088).

Almost surely, 211353806141 is an apocalyptic number.

It is an amenable number.

11353806141 is a deficient number, since it is larger than the sum of its proper divisors (4654083267).

11353806141 is a wasteful number, since it uses less digits than its factorization.

11353806141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2977732.

The product of its (nonzero) digits is 8640, while the sum is 33.

The spelling of 11353806141 in words is "eleven billion, three hundred fifty-three million, eight hundred six thousand, one hundred forty-one".

Divisors: 1 3 31 41 93 123 1271 3813 2977657 8932971 92307367 122083937 276922101 366251811 3784602047 11353806141