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23132011120 = 2455310095407
BaseRepresentation
bin10101100010110001…
…100111101001110000
32012201002221220210121
4111202301213221300
5334333243323440
614343211140024
71446142564441
oct254261475160
965632856717
1023132011120
1198a0465369
124596a44614
13224853015a
1411962532c8
15905bd934a
hex562c67a70

23132011120 has 80 divisors (see below), whose sum is σ = 54861131520. Its totient is φ = 9067548672.

The previous prime is 23132011087. The next prime is 23132011141. The reversal of 23132011120 is 2111023132.

It is a tau number, because it is divible by the number of its divisors (80).

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 = 23132011094 and 23132011103.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4275457 + ... + 4280863.

It is an arithmetic number, because the mean of its divisors is an integer number (685764144).

Almost surely, 223132011120 is an apocalyptic number.

23132011120 is a gapful number since it is divisible by the number (20) 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 23132011120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27430565760).

23132011120 is an abundant number, since it is smaller than the sum of its proper divisors (31729120400).

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

23132011120 is a wasteful number, since it uses less digits than its factorization.

23132011120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6482 (or 6476 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 23132011120 its reverse (2111023132), we get a palindrome (25243034252).

The spelling of 23132011120 in words is "twenty-three billion, one hundred thirty-two million, eleven thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 53 80 106 212 265 424 530 848 1009 1060 2018 2120 4036 4240 5045 5407 8072 10090 10814 16144 20180 21628 27035 40360 43256 53477 54070 80720 86512 106954 108140 213908 216280 267385 286571 427816 432560 534770 573142 855632 1069540 1146284 1432855 2139080 2292568 2865710 4278160 4585136 5455663 5731420 10911326 11462840 21822652 22925680 27278315 43645304 54556630 87290608 109113260 218226520 289150139 436453040 578300278 1156600556 1445750695 2313201112 2891501390 4626402224 5783002780 11566005560 23132011120