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10114525154133 = 3226919732117501
BaseRepresentation
bin1001001100101111100010…
…1011011100101101010101
31022210221100122111212200200
42103023320223130231111
52311204021414413013
633302314304331113
72062515235162041
oct223137053345525
938727318455620
1010114525154133
11324a600845434
12117431a013a99
13584a45cc830a
1426d78d2c9021
1512817e446e73
hex932f8adcb55

10114525154133 has 24 divisors (see below), whose sum is σ = 14671620807480. Its totient is φ = 6714541680000.

The previous prime is 10114525154057. The next prime is 10114525154161. The reversal of 10114525154133 is 33145152541101.

10114525154133 is a `hidden beast` number, since 1 + 0 + 1 + 1 + 4 + 5 + 2 + 515 + 4 + 133 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 855850714884 + 9258674439249 = 925122^2 + 3042807^2 .

It is not a de Polignac number, because 10114525154133 - 217 = 10114525023061 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10114525154333) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3717883 + ... + 5835383.

It is an arithmetic number, because the mean of its divisors is an integer number (611317533645).

Almost surely, 210114525154133 is an apocalyptic number.

It is an amenable number.

10114525154133 is a deficient number, since it is larger than the sum of its proper divisors (4557095653347).

10114525154133 is a wasteful number, since it uses less digits than its factorization.

10114525154133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2119749 (or 2119746 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 36.

Adding to 10114525154133 its reverse (33145152541101), we get a palindrome (43259677695234).

The spelling of 10114525154133 in words is "ten trillion, one hundred fourteen billion, five hundred twenty-five million, one hundred fifty-four thousand, one hundred thirty-three".

Divisors: 1 3 9 269 807 1973 2421 5919 17757 530737 1592211 2117501 4776633 6352503 19057509 569607769 1708823307 4177829473 5126469921 12533488419 37600465257 1123836128237 3371508384711 10114525154133