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102131302221 = 3313290972371
BaseRepresentation
bin101111100011101111…
…1111111111101001101
3100202121201001201021000
41133013133333331031
53133131103132341
6114530220130513
710243623513414
oct1370737777515
9322551051230
10102131302221
113a34a503aa3
1217963696a39
13982823a210
144d2c13847b
1529cb3d68b6
hex17c77fff4d

102131302221 has 16 divisors (see below), whose sum is σ = 162944528320. Its totient is φ = 62850031920.

The previous prime is 102131302219. The next prime is 102131302249. The reversal of 102131302221 is 122203131201.

102131302221 is a `hidden beast` number, since 10 + 2 + 131 + 302 + 221 = 666.

It is not a de Polignac number, because 102131302221 - 21 = 102131302219 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 102131302194 and 102131302203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102131302321) 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, 145485835 + ... + 145486536.

It is an arithmetic number, because the mean of its divisors is an integer number (10184033020).

Almost surely, 2102131302221 is an apocalyptic number.

It is an amenable number.

102131302221 is a deficient number, since it is larger than the sum of its proper divisors (60813226099).

102131302221 is a wasteful number, since it uses less digits than its factorization.

102131302221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 290972393 (or 290972387 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 102131302221 its reverse (122203131201), we get a palindrome (224334433422).

The spelling of 102131302221 in words is "one hundred two billion, one hundred thirty-one million, three hundred two thousand, two hundred twenty-one".

Divisors: 1 3 9 13 27 39 117 351 290972371 872917113 2618751339 3782640823 7856254017 11347922469 34043767407 102131302221