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113020012320 = 2535593397063
BaseRepresentation
bin110100101000010000…
…1001000011100100000
3101210201120002111110020
41221100201020130200
53322431110343240
6123530511033440
711110512153045
oct1512041103440
9353646074406
10113020012320
1143a2793a066
1219aa220b880
13a87209a347
1456823191cc
152e172e10d0
hex1a50848720

113020012320 has 96 divisors (see below), whose sum is σ = 356614296192. Its totient is φ = 30087770112.

The previous prime is 113020012291. The next prime is 113020012321. The reversal of 113020012320 is 23210020311.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 113020012320.

It is not an unprimeable number, because it can be changed into a prime (113020012321) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 86109 + ... + 483171.

It is an arithmetic number, because the mean of its divisors is an integer number (3714732252).

Almost surely, 2113020012320 is an apocalyptic number.

113020012320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113020012320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178307148096).

113020012320 is an abundant number, since it is smaller than the sum of its proper divisors (243594283872).

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

113020012320 is a wasteful number, since it uses less digits than its factorization.

113020012320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 397674 (or 397666 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 113020012320 its reverse (23210020311), we get a palindrome (136230032631).

The spelling of 113020012320 in words is "one hundred thirteen billion, twenty million, twelve thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 593 1186 1779 2372 2965 3558 4744 5930 7116 8895 9488 11860 14232 17790 18976 23720 28464 35580 47440 56928 71160 94880 142320 284640 397063 794126 1191189 1588252 1985315 2382378 3176504 3970630 4764756 5955945 6353008 7941260 9529512 11911890 12706016 15882520 19059024 23823780 31765040 38118048 47647560 63530080 95295120 190590240 235458359 470916718 706375077 941833436 1177291795 1412750154 1883666872 2354583590 2825500308 3531875385 3767333744 4709167180 5651000616 7063750770 7534667488 9418334360 11302001232 14127501540 18836668720 22604002464 28255003080 37673337440 56510006160 113020012320