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11257607141 = 1119227237287
BaseRepresentation
bin10100111110000000…
…10111001111100101
31002001120011200210122
422133000113033211
5141023421412031
65101025331325
7545655040034
oct123700271745
932046150718
1011257607141
114857697960
122222196b45
1310a5401701
1478b1aa71b
1545d4c747b
hex29f0173e5

11257607141 has 16 divisors (see below), whose sum is σ = 12984399360. Its totient is φ = 9652794480.

The previous prime is 11257607113. The next prime is 11257607147. The reversal of 11257607141 is 14170675211.

It is a cyclic number.

It is not a de Polignac number, because 11257607141 - 218 = 11257344997 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11257607147) 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, 71201 + ... + 166086.

It is an arithmetic number, because the mean of its divisors is an integer number (811524960).

Almost surely, 211257607141 is an apocalyptic number.

11257607141 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

11257607141 is a deficient number, since it is larger than the sum of its proper divisors (1726792219).

11257607141 is a wasteful number, since it uses less digits than its factorization.

11257607141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 237544.

The product of its (nonzero) digits is 11760, while the sum is 35.

The spelling of 11257607141 in words is "eleven billion, two hundred fifty-seven million, six hundred seven thousand, one hundred forty-one".

Divisors: 1 11 19 209 227 2497 4313 47443 237287 2610157 4508453 49592983 53864149 592505639 1023418831 11257607141