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102113312221041 = 311194329363128987
BaseRepresentation
bin10111001101111100011011…
…101100111010011101110001
3111101112221022022002121201020
4113031330123230322131301
5101341011030412033131
61001102112533530053
730336305032503012
oct2715743354723561
9441487268077636
10102113312221041
112a59a015729830
12b5522b17a3929
1344c9323178004
141b3044c723009
15bc130555d996
hex5cdf1bb3a771

102113312221041 has 64 divisors (see below), whose sum is σ = 159988377415680. Its totient is φ = 57263778411840.

The previous prime is 102113312221021. The next prime is 102113312221051. The reversal of 102113312221041 is 140122213311201.

It is not a de Polignac number, because 102113312221041 - 218 = 102113311958897 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (102113312221021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 791591350 + ... + 791720336.

It is an arithmetic number, because the mean of its divisors is an integer number (2499818397120).

Almost surely, 2102113312221041 is an apocalyptic number.

102113312221041 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

102113312221041 is a deficient number, since it is larger than the sum of its proper divisors (57875065194639).

102113312221041 is a wasteful number, since it uses less digits than its factorization.

102113312221041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158426.

The product of its (nonzero) digits is 576, while the sum is 24.

Adding to 102113312221041 its reverse (140122213311201), we get a palindrome (242235525532242).

The spelling of 102113312221041 in words is "one hundred two trillion, one hundred thirteen billion, three hundred twelve million, two hundred twenty-one thousand, forty-one".

Divisors: 1 3 11 19 33 43 57 129 209 473 627 817 1419 2451 8987 26961 29363 88089 128987 322993 386961 557897 968979 1262609 1418857 1673691 2450753 3787827 4256571 5546441 6136867 7352259 13888699 16639323 18410601 23989571 26958283 41666097 61010851 71968713 80874849 105382379 183032553 263885281 316147137 791655843 1159206169 3477618507 3787445281 11362335843 41661898091 71961460339 124985694273 162860147083 215884381017 488580441249 791576063729 1791461617913 2374728191187 3094342794577 5374384853739 9283028383731 34037770740347 102113312221041