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13230020320 = 255117517057
BaseRepresentation
bin11000101001001001…
…00001011011100000
31021011000121200000121
430110210201123200
5204043341122240
610024445130024
7645565213546
oct142444413340
937130550017
1013230020320
11567a0020a0
122692859914
13132ac3a2ba
148d7123d96
1552673b04a
hex3149216e0

13230020320 has 48 divisors (see below), whose sum is σ = 34097375088. Its totient is φ = 4810915840.

The previous prime is 13230020317. The next prime is 13230020339. The reversal of 13230020320 is 2302003231.

It is a super-2 number, since 2×132300203202 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 13230020294 and 13230020303.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3756769 + ... + 3760288.

It is an arithmetic number, because the mean of its divisors is an integer number (710361981).

Almost surely, 213230020320 is an apocalyptic number.

13230020320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13230020320 is an abundant number, since it is smaller than the sum of its proper divisors (20867354768).

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

13230020320 is a wasteful number, since it uses less digits than its factorization.

13230020320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7517083 (or 7517075 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 16.

Adding to 13230020320 its reverse (2302003231), we get a palindrome (15532023551).

The spelling of 13230020320 in words is "thirteen billion, two hundred thirty million, twenty thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 80 88 110 160 176 220 352 440 880 1760 7517057 15034114 30068228 37585285 60136456 75170570 82687627 120272912 150341140 165375254 240545824 300682280 330750508 413438135 601364560 661501016 826876270 1202729120 1323002032 1653752540 2646004064 3307505080 6615010160 13230020320