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13100103413010 = 2325165298806141
BaseRepresentation
bin1011111010100001101100…
…0000101010110100010010
31201101100122201201210111200
42332220123000222310102
53204113002433204020
643510034320052030
72521310526515505
oct276503300526422
951340581653450
1013100103413010
1141a07a4948599
121576a7a164016
13740446a34c93
14334096ac513c
1517ab6c9ec590
hexbea1b02ad12

13100103413010 has 48 divisors (see below), whose sum is σ = 34062333378840. Its totient is φ = 3493149166080.

The previous prime is 13100103412997. The next prime is 13100103413017. The reversal of 13100103413010 is 1031430100131.

13100103413010 is a `hidden beast` number, since 1 + 3 + 10 + 0 + 10 + 341 + 301 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 12457814970969 + 642288442041 = 3529563^2 + 801429^2 .

It is a super-2 number, since 2×131001034130102 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (13100103413017) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2915461 + ... + 5890680.

Almost surely, 213100103413010 is an apocalyptic number.

13100103413010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13100103413010 is an abundant number, since it is smaller than the sum of its proper divisors (20962229965830).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13100103413010 is a wasteful number, since it uses less digits than its factorization.

13100103413010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8822683 (or 8822680 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 13100103413010 its reverse (1031430100131), we get a palindrome (14131533513141).

The spelling of 13100103413010 in words is "thirteen trillion, one hundred billion, one hundred three million, four hundred thirteen thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 16529 33058 49587 82645 99174 148761 165290 247935 297522 495870 743805 1487610 8806141 17612282 26418423 44030705 52836846 79255269 88061410 132092115 158510538 264184230 396276345 792552690 145556704589 291113409178 436670113767 727783522945 873340227534 1310010341301 1455567045890 2183350568835 2620020682602 4366701137670 6550051706505 13100103413010