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23135011120 = 2451343151613
BaseRepresentation
bin10101100010111101…
…000100000100110000
32012201022121100000201
4111202331010010300
5334340030323440
614343355324544
71446210231004
oct254275040460
965638540021
1023135011120
1198a2124301
124597a50754
1322490407c0
1411967d4704
159060cd19a
hex562f44130

23135011120 has 80 divisors (see below), whose sum is σ = 58062033792. Its totient is φ = 8522173440.

The previous prime is 23135011103. The next prime is 23135011129. The reversal of 23135011120 is 2111053132.

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

It is not an unprimeable number, because it can be changed into a prime (23135011129) 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, 422434 + ... + 474046.

Almost surely, 223135011120 is an apocalyptic number.

23135011120 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 23135011120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29031016896).

23135011120 is an abundant number, since it is smaller than the sum of its proper divisors (34927022672).

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

23135011120 is a wasteful number, since it uses less digits than its factorization.

23135011120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52070 (or 52064 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 19.

Adding to 23135011120 its reverse (2111053132), we get a palindrome (25246064252).

The spelling of 23135011120 in words is "twenty-three billion, one hundred thirty-five million, eleven thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 208 260 431 520 862 1040 1724 2155 3448 4310 5603 6896 8620 11206 17240 22412 28015 34480 44824 51613 56030 89648 103226 112060 206452 224120 258065 412904 448240 516130 670969 825808 1032260 1341938 2064520 2683876 3354845 4129040 5367752 6709690 10735504 13419380 22245203 26838760 44490406 53677520 88980812 111226015 177961624 222452030 289187639 355923248 444904060 578375278 889808120 1156750556 1445938195 1779616240 2313501112 2891876390 4627002224 5783752780 11567505560 23135011120