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113031310131103 = 741361312894583
BaseRepresentation
bin11001101100110100100111…
…000101101011111110011111
3112211012200120100100111221111
4121230310213011223332133
5104303401110343143403
61040221511140042451
732544146143510000
oct3154644705537637
9484180510314844
10113031310131103
1133019344937881
1210816285093427
134b0ba6473a850
141dcaa5d27d1a7
15d1030cac256d
hex66cd2716bf9f

113031310131103 has 80 divisors (see below), whose sum is σ = 142378310410560. Its totient is φ = 89196740946432.

The previous prime is 113031310131083. The next prime is 113031310131137. The reversal of 113031310131103 is 301131013130311.

It is not a de Polignac number, because 113031310131103 - 25 = 113031310131071 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113031310131163) 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 79 ways as a sum of consecutive naturals, for example, 24663168150 + ... + 24663172732.

It is an arithmetic number, because the mean of its divisors is an integer number (1779728880132).

Almost surely, 2113031310131103 is an apocalyptic number.

113031310131103 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

113031310131103 is a deficient number, since it is larger than the sum of its proper divisors (29347000279457).

113031310131103 is an equidigital number, since it uses as much as digits as its factorization.

113031310131103 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6526 (or 6505 counting only the distinct ones).

The product of its (nonzero) digits is 243, while the sum is 22.

Adding to 113031310131103 its reverse (301131013130311), we get a palindrome (414162323261414).

The spelling of 113031310131103 in words is "one hundred thirteen trillion, thirty-one billion, three hundred ten million, one hundred thirty-one thousand, one hundred three".

Divisors: 1 7 13 49 91 343 613 637 1289 2401 4291 4459 4583 7969 9023 16757 30037 31213 32081 55783 59579 63161 117299 210259 224567 390481 417053 442127 790157 821093 1471813 1571969 2733367 2809379 2919371 3094889 5531099 5747651 5907487 10272041 11003783 19133569 19665653 20435597 36521927 38717693 40233557 41352409 71904287 76797331 137659571 143049179 255653489 271023851 289466863 503330009 537581317 963616997 1789574423 1897166957 2026268041 3523310063 3621289531 3763069219 6745318979 12527020961 14183876287 24663170441 25349026717 26341484533 47076763903 87689146727 177443187019 184390391731 329537347321 1242102309133 2306761431247 8694716163931 16147330018729 113031310131103