Search a number
-
+
113322031032 = 233713115732797
BaseRepresentation
bin110100110001010000…
…1001111011110111000
3101211111121101122020110
41221202201033132320
53324040414443112
6124020500224320
711121140241060
oct1514241173670
9354447348213
10113322031032
1144072372201
1219b6739b0a0
13a8bc823c42
1456b04963a0
152e33a9d13c
hex1a6284f7b8

113322031032 has 128 divisors (see below), whose sum is σ = 328336842240. Its totient is φ = 31924938240.

The previous prime is 113322031019. The next prime is 113322031061. The reversal of 113322031032 is 230130223311.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3438858 + ... + 3471654.

It is an arithmetic number, because the mean of its divisors is an integer number (2565131580).

Almost surely, 2113322031032 is an apocalyptic number.

113322031032 is a gapful number since it is divisible by the number (12) 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 113322031032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164168421120).

113322031032 is an abundant number, since it is smaller than the sum of its proper divisors (215014811208).

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

113322031032 is a wasteful number, since it uses less digits than its factorization.

113322031032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33101 (or 33097 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 113322031032 its reverse (230130223311), we get a palindrome (343452254343).

The spelling of 113322031032 in words is "one hundred thirteen billion, three hundred twenty-two million, thirty-one thousand, thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 131 157 168 262 314 393 471 524 628 786 917 942 1048 1099 1256 1572 1834 1884 2198 2751 3144 3297 3668 3768 4396 5502 6594 7336 8792 11004 13188 20567 22008 26376 32797 41134 61701 65594 82268 98391 123402 131188 143969 164536 196782 229579 246804 262376 287938 393564 431907 459158 493608 575876 688737 787128 863814 918316 1151752 1377474 1727628 1836632 2754948 3455256 4296407 5149129 5509896 8592814 10298258 12889221 15447387 17185628 20596516 25778442 30074849 30894774 34371256 36043903 41193032 51556884 60149698 61789548 72087806 90224547 103113768 108131709 120299396 123579096 144175612 180449094 216263418 240598792 288351224 360898188 432526836 674535899 721796376 865053672 1349071798 2023607697 2698143596 4047215394 4721751293 5396287192 8094430788 9443502586 14165253879 16188861576 18887005172 28330507758 37774010344 56661015516 113322031032