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113020313200432 = 241122314092043751
BaseRepresentation
bin11001101100101010010111…
…100111101110011100110000
3112211011122011221200120000221
4121230222113213232130300
5104303211100134403212
61040212452021422424
732543306502236431
oct3154522747563460
9484148157616027
10113020313200432
1133014711406020
121081411626aa14
134b0aa01349291
141dca2d896b488
15d0edb743c807
hex66ca979ee730

113020313200432 has 80 divisors (see below), whose sum is σ = 240125490984960. Its totient is φ = 51106176000000.

The previous prime is 113020313200363. The next prime is 113020313200433. The reversal of 113020313200432 is 234002313020311.

It is a junction number, because it is equal to n+sod(n) for n = 113020313200397 and 113020313200406.

It is not an unprimeable number, because it can be changed into a prime (113020313200433) 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, 54278557 + ... + 56322307.

It is an arithmetic number, because the mean of its divisors is an integer number (3001568637312).

Almost surely, 2113020313200432 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 113020313200432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120062745492480).

113020313200432 is an abundant number, since it is smaller than the sum of its proper divisors (127105177784528).

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

113020313200432 is a wasteful number, since it uses less digits than its factorization.

113020313200432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2045402 (or 2045396 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 25.

Adding to 113020313200432 its reverse (234002313020311), we get a palindrome (347022626220743).

The spelling of 113020313200432 in words is "one hundred thirteen trillion, twenty billion, three hundred thirteen million, two hundred thousand, four hundred thirty-two".

Divisors: 1 2 4 8 11 16 22 44 88 176 223 446 892 1409 1784 2453 2818 3568 4906 5636 9812 11272 15499 19624 22544 30998 39248 61996 123992 247984 314207 628414 1256828 2043751 2513656 3456277 4087502 5027312 6912554 8175004 13825108 16350008 22481261 27650216 32700016 44962522 55300432 89925044 179850088 359700176 455756473 911512946 1823025892 2879645159 3646051784 5013321203 5759290318 7292103568 10026642406 11518580636 20053284812 23037161272 31676096749 40106569624 46074322544 63352193498 80213139248 126704386996 253408773992 506817547984 642160870457 1284321740914 2568643481828 5137286963656 7063769575027 10274573927312 14127539150054 28255078300108 56510156600216 113020313200432