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13102232935068 = 2233295409177339
BaseRepresentation
bin1011111010101001100111…
…1100001001101010011100
31201101120011010210201121000
42332222121330021222130
53204131333112410233
643511025511110300
72521414355250564
oct276523174115234
951346133721530
1013102232935068
1141a1697a0aa82
121577373372390
137406c5c8b3c4
14334219857da4
1517ac44946d13
hexbea99f09a9c

13102232935068 has 96 divisors (see below), whose sum is σ = 35141192352000. Its totient is φ = 4216678119360.

The previous prime is 13102232935067. The next prime is 13102232935079. The reversal of 13102232935068 is 86053923220131.

13102232935068 is a `hidden beast` number, since 1 + 3 + 1 + 0 + 2 + 232 + 9 + 350 + 68 = 666.

It is a super-3 number, since 3×131022329350683 (a number of 40 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13102232935061) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 169374343 + ... + 169451681.

It is an arithmetic number, because the mean of its divisors is an integer number (366054087000).

Almost surely, 213102232935068 is an apocalyptic number.

13102232935068 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

13102232935068 is an abundant number, since it is smaller than the sum of its proper divisors (22038959416932).

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

13102232935068 is a wasteful number, since it uses less digits than its factorization.

13102232935068 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131472 (or 131464 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 13102232935068 in words is "thirteen trillion, one hundred two billion, two hundred thirty-two million, nine hundred thirty-five thousand, sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 29 36 54 58 87 108 116 174 261 348 522 783 1044 1566 3132 54091 77339 108182 154678 162273 216364 232017 309356 324546 464034 486819 649092 696051 928068 973638 1392102 1460457 1568639 1947276 2088153 2242831 2784204 2920914 3137278 4176306 4485662 4705917 5841828 6274556 6728493 8352612 8971324 9411834 13456986 14117751 18823668 20185479 26913972 28235502 40370958 42353253 56471004 60556437 80741916 84706506 121112874 169413012 242225748 4183343849 8366687698 12550031547 16733375396 25100063094 37650094641 50200126188 75300189282 112950283923 121316971621 150600378564 225900567846 242633943242 363950914863 451801135692 485267886484 727901829726 1091852744589 1455803659452 2183705489178 3275558233767 4367410978356 6551116467534 13102232935068