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107252754201 = 3211916972689
BaseRepresentation
bin110001111100011000…
…0110010011100011001
3101020211121222102121200
41203320300302130121
53224123201113301
6121134330424413
710514552240325
oct1437060623431
9336747872550
10107252754201
114153842473a
1218952892109
13a1632b0888
1452963b2985
152bcad2dc86
hex18f8c32719

107252754201 has 6 divisors (see below), whose sum is σ = 154920644970. Its totient is φ = 71501836128.

The previous prime is 107252754113. The next prime is 107252754211. The reversal of 107252754201 is 102457252701.

107252754201 is a `hidden beast` number, since 10 + 72 + 527 + 54 + 2 + 0 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 107243150400 + 9603801 = 327480^2 + 3099^2 .

It is not a de Polignac number, because 107252754201 - 29 = 107252753689 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (107252754211) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5958486336 + ... + 5958486353.

It is an arithmetic number, because the mean of its divisors is an integer number (25820107495).

Almost surely, 2107252754201 is an apocalyptic number.

It is an amenable number.

107252754201 is a deficient number, since it is larger than the sum of its proper divisors (47667890769).

107252754201 is a wasteful number, since it uses less digits than its factorization.

107252754201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11916972695 (or 11916972692 counting only the distinct ones).

The product of its (nonzero) digits is 39200, while the sum is 36.

The spelling of 107252754201 in words is "one hundred seven billion, two hundred fifty-two million, seven hundred fifty-four thousand, two hundred one".

Divisors: 1 3 9 11916972689 35750918067 107252754201