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31100244200113 = 11291132297375607
BaseRepresentation
bin1110001001001000101110…
…00000100000101010110001
311002010011011111021011210111
413010210113000200222301
513034021300003400423
6150051131022501321
76356630020651354
oct704442700405261
9132104144234714
1031100244200113
119a005a3084220
1235a3528a34841
1314479819a901a
1479738d06029b
1538dec6e1560d
hex1c4917020ab1

31100244200113 has 32 divisors (see below), whose sum is σ = 35423560431360. Its totient is φ = 27044593551360.

The previous prime is 31100244200107. The next prime is 31100244200117.

31100244200113 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 31100244200113 - 29 = 31100244199601 is a prime.

It is not an unprimeable number, because it can be changed into a prime (31100244200117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 82612156 + ... + 82987762.

It is an arithmetic number, because the mean of its divisors is an integer number (1106986263480).

Almost surely, 231100244200113 is an apocalyptic number.

It is an amenable number.

31100244200113 is a deficient number, since it is larger than the sum of its proper divisors (4323316231247).

31100244200113 is a wasteful number, since it uses less digits than its factorization.

31100244200113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 378057.

The product of its (nonzero) digits is 576, while the sum is 22.

It can be divided in two parts, 3110024 and 4200113, that added together give a palindrome (7310137).

The spelling of 31100244200113 in words is "thirty-one trillion, one hundred billion, two hundred forty-four million, two hundred thousand, one hundred thirteen".

Divisors: 1 11 29 113 319 1243 2297 3277 25267 36047 66613 259561 375607 732743 2855171 4131677 7527269 10892603 42443591 82799959 119818633 466879501 862769279 1230864139 9490462069 13539505529 25020309091 97492928527 275223400001 1072422213797 2827294927283 31100244200113