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13105403153310 = 23513217371545917
BaseRepresentation
bin1011111010110101011011…
…1001100100101110011110
31201101212100002010111110110
42332231112321210232132
53204204331201401220
643512312235550450
72521556051541426
oct276552671445636
951355302114413
1013105403153310
1141a2a74471956
121577ab8bbb426
13740aaca003a0
1433443a8cd486
1517ad7ce10be0
hexbeb56e64b9e

13105403153310 has 64 divisors (see below), whose sum is σ = 33874006807872. Its totient is φ = 3225794896896.

The previous prime is 13105403153279. The next prime is 13105403153321. The reversal of 13105403153310 is 1335130450131.

It is a super-2 number, since 2×131054031533102 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7704472 + ... + 9250388.

It is an arithmetic number, because the mean of its divisors is an integer number (529281356373).

Almost surely, 213105403153310 is an apocalyptic number.

13105403153310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13105403153310 is an abundant number, since it is smaller than the sum of its proper divisors (20768603654562).

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

13105403153310 is a wasteful number, since it uses less digits than its factorization.

13105403153310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1567677.

The product of its (nonzero) digits is 8100, while the sum is 30.

The spelling of 13105403153310 in words is "thirteen trillion, one hundred five billion, four hundred three million, one hundred fifty-three thousand, three hundred ten".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 65 78 130 195 390 21737 43474 65211 108685 130422 217370 282581 326055 565162 652110 847743 1412905 1545917 1695486 2825810 3091834 4238715 4637751 7729585 8477430 9275502 15459170 20096921 23188755 40193842 46377510 60290763 100484605 120581526 200969210 301453815 602907630 33603597829 67207195658 100810793487 168017989145 201621586974 336035978290 436846771777 504053967435 873693543554 1008107934870 1310540315331 2184233858885 2621080630662 4368467717770 6552701576655 13105403153310