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113011321320 = 233251916522123
BaseRepresentation
bin110100100111111111…
…1111110100111101000
3101210200221201221122100
41221033333332213220
53322421344240240
6123530000453400
711110345244622
oct1511777764750
9353627657570
10113011321320
1143a22a43417
1219a9b31a260
13a870346541
1456810d5c12
152e16675e30
hex1a4fffe9e8

113011321320 has 96 divisors (see below), whose sum is σ = 386617701600. Its totient is φ = 28550226816.

The previous prime is 113011321231. The next prime is 113011321327. The reversal of 113011321320 is 23123110311.

113011321320 is a `hidden beast` number, since 1 + 13 + 0 + 11 + 321 + 320 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 113011321293 and 113011321302.

It is not an unprimeable number, because it can be changed into a prime (113011321327) 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, 8254222 + ... + 8267901.

It is an arithmetic number, because the mean of its divisors is an integer number (4027267725).

Almost surely, 2113011321320 is an apocalyptic number.

113011321320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

113011321320 is an abundant number, since it is smaller than the sum of its proper divisors (273606380280).

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

113011321320 is a wasteful number, since it uses less digits than its factorization.

113011321320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16522159 (or 16522152 counting only the distinct ones).

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

Adding to 113011321320 its reverse (23123110311), we get a palindrome (136134431631).

The spelling of 113011321320 in words is "one hundred thirteen billion, eleven million, three hundred twenty-one thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 19 20 24 30 36 38 40 45 57 60 72 76 90 95 114 120 152 171 180 190 228 285 342 360 380 456 570 684 760 855 1140 1368 1710 2280 3420 6840 16522123 33044246 49566369 66088492 82610615 99132738 132176984 148699107 165221230 198265476 247831845 297398214 313920337 330442460 396530952 495663690 594796428 627840674 660884920 743495535 941761011 991327380 1189592856 1255681348 1486991070 1569601685 1883522022 1982654760 2511362696 2825283033 2973982140 3139203370 3767044044 4708805055 5650566066 5947964280 6278406740 7534088088 9417610110 11301132132 12556813480 14126415165 18835220220 22602264264 28252830330 37670440440 56505660660 113011321320