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202113344131 = 17739710316301
BaseRepresentation
bin1011110000111011100…
…1001110001010000011
3201022200121220200122021
42330032321032022003
511302412004003011
6232503302222311
720413362036106
oct2741671161203
9638617820567
10202113344131
11787967939a6
1233207424997
13160a00cca6a
149ad4a4273d
1553cdc75471
hex2f0ee4e283

202113344131 has 32 divisors (see below), whose sum is σ = 221311778688. Its totient is φ = 183870259200.

The previous prime is 202113344129. The next prime is 202113344143. The reversal of 202113344131 is 131443311202.

202113344131 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 202113344131 - 21 = 202113344129 is a prime.

It is a super-2 number, since 2×2021133441312 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 202113344096 and 202113344105.

It is not an unprimeable number, because it can be changed into a prime (202113344101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12390681 + ... + 12406981.

It is an arithmetic number, because the mean of its divisors is an integer number (6915993084).

Almost surely, 2202113344131 is an apocalyptic number.

202113344131 is a deficient number, since it is larger than the sum of its proper divisors (19198434557).

202113344131 is a wasteful number, since it uses less digits than its factorization.

202113344131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16591.

The product of its (nonzero) digits is 1728, while the sum is 25.

Adding to 202113344131 its reverse (131443311202), we get a palindrome (333556655333).

The spelling of 202113344131 in words is "two hundred two billion, one hundred thirteen million, three hundred forty-four thousand, one hundred thirty-one".

Divisors: 1 17 73 97 103 1241 1649 1751 7081 7519 9991 16301 120377 127823 169847 277117 729343 1189973 1581197 1679003 12398831 20229541 26880349 28543051 115427381 122567219 162863291 1962265477 2083642723 2768675947 11889020243 202113344131