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113402323403334 = 232710773071151141
BaseRepresentation
bin11001110010001110001001…
…001101000000001001000110
3112212112011012220021112202100
4121302032021031000021012
5104330440424242401314
61041104150322052530
732613022201341420
oct3162161115001106
9485464186245670
10113402323403334
1133151723194609
12108761687aa146
134b37a408ba064
1420009b77db810
15d19cc47e5c09
hex672389340246

113402323403334 has 96 divisors (see below), whose sum is σ = 283469141120256. Its totient is φ = 32093433253440.

The previous prime is 113402323403293. The next prime is 113402323403389. The reversal of 113402323403334 is 433304323204311.

113402323403334 is a `hidden beast` number, since 1 + 1 + 340 + 23 + 234 + 0 + 33 + 34 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 97937404 + ... + 99088544.

It is an arithmetic number, because the mean of its divisors is an integer number (2952803553336).

Almost surely, 2113402323403334 is an apocalyptic number.

113402323403334 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 113402323403334, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141734570560128).

113402323403334 is an abundant number, since it is smaller than the sum of its proper divisors (170066817716922).

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

113402323403334 is a wasteful number, since it uses less digits than its factorization.

113402323403334 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1158570 (or 1158567 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 36.

Adding to 113402323403334 its reverse (433304323204311), we get a palindrome (546706646607645).

The spelling of 113402323403334 in words is "one hundred thirteen trillion, four hundred two billion, three hundred twenty-three million, four hundred three thousand, three hundred thirty-four".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 107 126 214 321 642 749 963 1498 1926 2247 4494 6741 7307 13482 14614 21921 43842 51149 65763 102298 131526 153447 306894 460341 781849 920682 1151141 1563698 2302282 2345547 3453423 4691094 5472943 6906846 7036641 8057987 10360269 10945886 14073282 16115974 16418829 20720538 24173961 32837658 48347922 49256487 72521883 98512974 123172087 145043766 246344174 369516261 739032522 862204609 1108548783 1724409218 2217097566 2586613827 5173227654 7759841481 8411387287 15519682962 16822774574 25234161861 50468323722 58879711009 75702485583 117759422018 151404971166 176639133027 353278266054 529917399081 900018439709 1059834798162 1800036879418 2700055319127 5400110638254 6300129077963 8100165957381 12600258155926 16200331914762 18900387233889 37800774467778 56701161701667 113402323403334