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23130221112 = 2333736132393
BaseRepresentation
bin10101100010101010…
…110010101000111000
32012200222120222101000
4111202222302220320
5334332314033422
614343104525000
71446121430655
oct254252625070
965628528330
1023130221112
11989a452519
124596320760
13224805448b
141195d08c2c
15905983cac
hex562ab2a38

23130221112 has 128 divisors (see below), whose sum is σ = 65264270400. Its totient is φ = 7588878336.

The previous prime is 23130221089. The next prime is 23130221113. The reversal of 23130221112 is 21112203132.

23130221112 is a `hidden beast` number, since 231 + 302 + 21 + 112 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23130221113) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9664588 + ... + 9666980.

Almost surely, 223130221112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23130221112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32632135200).

23130221112 is an abundant number, since it is smaller than the sum of its proper divisors (42134049288).

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

23130221112 is a wasteful number, since it uses less digits than its factorization.

23130221112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3094 (or 3084 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 23130221112 its reverse (21112203132), we get a palindrome (44242424244).

The spelling of 23130221112 in words is "twenty-three billion, one hundred thirty million, two hundred twenty-one thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 73 108 146 216 219 292 438 584 613 657 876 1226 1314 1752 1839 1971 2393 2452 2628 3678 3942 4786 4904 5256 5517 7179 7356 7884 9572 11034 14358 14712 15768 16551 19144 21537 22068 28716 33102 43074 44136 44749 57432 64611 66204 86148 89498 129222 132408 134247 172296 174689 178996 258444 268494 349378 357992 402741 516888 524067 536988 698756 805482 1048134 1073976 1208223 1397512 1466909 1572201 1610964 2096268 2416446 2933818 3144402 3221928 4192536 4400727 4716603 4832892 5867636 6288804 8801454 9433206 9665784 11735272 12577608 13202181 17602908 18866412 26404362 35205816 37732824 39606543 52808724 79213086 105617448 107084357 158426172 214168714 316852344 321253071 428337428 642506142 856674856 963759213 1285012284 1927518426 2570024568 2891277639 3855036852 5782555278 7710073704 11565110556 23130221112