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101313014525 = 52232915738699
BaseRepresentation
bin101111001011010111…
…0011110101011111101
3100200111200022101120022
41132112232132223331
53124442112431100
6114313105301525
710214426262122
oct1362656365375
9320450271508
10101313014525
1139a6a612378
12177756348a5
139727853408
144c915ac749
15297e64ae85
hex1796b9eafd

101313014525 has 48 divisors (see below), whose sum is σ = 136477872000. Its totient is φ = 74374460160.

The previous prime is 101313014489. The next prime is 101313014567. The reversal of 101313014525 is 525410313101.

It is a de Polignac number, because none of the positive numbers 2k-101313014525 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101313014494 and 101313014503.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2598626 + ... + 2637324.

It is an arithmetic number, because the mean of its divisors is an integer number (2843289000).

Almost surely, 2101313014525 is an apocalyptic number.

It is an amenable number.

101313014525 is a deficient number, since it is larger than the sum of its proper divisors (35164857475).

101313014525 is a wasteful number, since it uses less digits than its factorization.

101313014525 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38918 (or 38913 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 26.

Adding to 101313014525 its reverse (525410313101), we get a palindrome (626723327626).

The spelling of 101313014525 in words is "one hundred one billion, three hundred thirteen million, fourteen thousand, five hundred twenty-five".

Divisors: 1 5 23 25 29 115 145 157 575 667 725 785 3335 3611 3925 4553 16675 18055 22765 38699 90275 104719 113825 193495 523595 890077 967475 1122271 2617975 4450385 5611355 6075743 22251925 25812233 28056775 30378715 129061165 139742089 151893575 176196547 645305825 698710445 880982735 3493552225 4052520581 4404913675 20262602905 101313014525