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23014241120 = 2551313979601
BaseRepresentation
bin10101011011110000…
…010111001101100000
32012101220100120201202
4111123300113031200
5334113121203440
614323403020332
71443212551613
oct253360271540
965356316652
1023014241120
11983aa36a92
12456350a6a8
13222a007270
14118475817a
158ea6c4615
hex55bc17360

23014241120 has 96 divisors (see below), whose sum is σ = 58975529760. Its totient is φ = 8436326400.

The previous prime is 23014241099. The next prime is 23014241141. The reversal of 23014241120 is 2114241032.

It is an interprime number because it is at equal distance from previous prime (23014241099) and next prime (23014241141).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 23014241092 and 23014241101.

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, 249320 + ... + 328920.

It is an arithmetic number, because the mean of its divisors is an integer number (614328435).

Almost surely, 223014241120 is an apocalyptic number.

23014241120 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 23014241120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29487764880).

23014241120 is an abundant number, since it is smaller than the sum of its proper divisors (35961288640).

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

23014241120 is a wasteful number, since it uses less digits than its factorization.

23014241120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79768 (or 79760 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 23014241120 its reverse (2114241032), we get a palindrome (25128482152).

The spelling of 23014241120 in words is "twenty-three billion, fourteen million, two hundred forty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 65 80 104 130 139 160 208 260 278 416 520 556 695 1040 1112 1390 1807 2080 2224 2780 3614 4448 5560 7228 9035 11120 14456 18070 22240 28912 36140 57824 72280 79601 144560 159202 289120 318404 398005 636808 796010 1034813 1273616 1592020 2069626 2547232 3184040 4139252 5174065 6368080 8278504 10348130 11064539 12736160 16557008 20696260 22129078 33114016 41392520 44258156 55322695 82785040 88516312 110645390 143839007 165570080 177032624 221290780 287678014 354065248 442581560 575356028 719195035 885163120 1150712056 1438390070 1770326240 2301424112 2876780140 4602848224 5753560280 11507120560 23014241120