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120131132513 = 7317913995009
BaseRepresentation
bin110111111100001011…
…1111001110001100001
3102111002010220211111012
41233320113321301201
53432012032220023
6131104255030305
711451650530640
oct1577027716141
9374063824435
10120131132513
1146a4698a9a7
121b34780b395
13b43640b482
145b5891d357
1531d1759978
hex1bf85f9c61

120131132513 has 32 divisors (see below), whose sum is σ = 143646720000. Its totient is φ = 98296623360.

The previous prime is 120131132507. The next prime is 120131132549. The reversal of 120131132513 is 315231131021.

It is a cyclic number.

It is not a de Polignac number, because 120131132513 - 26 = 120131132449 is a prime.

It is not an unprimeable number, because it can be changed into a prime (120131132573) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23980553 + ... + 23985561.

It is an arithmetic number, because the mean of its divisors is an integer number (4488960000).

Almost surely, 2120131132513 is an apocalyptic number.

It is an amenable number.

120131132513 is a deficient number, since it is larger than the sum of its proper divisors (23515587487).

120131132513 is a wasteful number, since it uses less digits than its factorization.

120131132513 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6525.

The product of its (nonzero) digits is 540, while the sum is 23.

Adding to 120131132513 its reverse (315231131021), we get a palindrome (435362263534).

The spelling of 120131132513 in words is "one hundred twenty billion, one hundred thirty-one million, one hundred thirty-two thousand, five hundred thirteen".

Divisors: 1 7 31 79 217 553 1399 2449 5009 9793 17143 35063 43369 110521 155279 303583 395711 773647 1086953 2769977 3426151 7007591 12267041 23983057 49053137 85869287 217235321 553599689 1520647247 3875197823 17161590359 120131132513