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113232221322 = 231123724117491
BaseRepresentation
bin110100101110100101…
…0101001010010001010
3101211021100101211110220
41221131022221102022
53323344422040242
6124003531250510
711116000000143
oct1513512512212
9354240354426
10113232221322
1144026700900
1219b412a9a36
13a8a703a7bc
1456a2598aca
152e2ac5cbec
hex1a5d2a948a

113232221322 has 96 divisors (see below), whose sum is σ = 256726865472. Its totient is φ = 33244992000.

The previous prime is 113232221281. The next prime is 113232221327. The reversal of 113232221322 is 223122232311.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 113232221292 and 113232221301.

It is not an unprimeable number, because it can be changed into a prime (113232221327) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 6464997 + ... + 6482487.

It is an arithmetic number, because the mean of its divisors is an integer number (2674238182).

Almost surely, 2113232221322 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113232221322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128363432736).

113232221322 is an abundant number, since it is smaller than the sum of its proper divisors (143494644150).

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

113232221322 is a wasteful number, since it uses less digits than its factorization.

113232221322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17796 (or 17785 counting only the distinct ones).

The product of its digits is 1728, while the sum is 24.

Adding to 113232221322 its reverse (223122232311), we get a palindrome (336354453633).

The spelling of 113232221322 in words is "one hundred thirteen billion, two hundred thirty-two million, two hundred twenty-one thousand, three hundred twenty-two".

Divisors: 1 2 3 6 11 22 33 37 66 74 111 121 222 241 242 363 407 482 723 726 814 1221 1446 2442 2651 4477 5302 7953 8917 8954 13431 15906 17491 17834 26751 26862 29161 34982 52473 53502 58322 87483 98087 104946 174966 192401 196174 294261 384802 577203 588522 647167 1078957 1154406 1294334 1941501 2116411 2157914 3236871 3883002 4215331 4232822 6349233 6473742 7118837 8430662 12645993 12698466 14237674 21356511 25291986 42713022 46368641 78307207 92737282 139105923 155967247 156614414 234921621 278211846 311934494 467901741 469843242 510055051 935803482 1020110102 1530165153 1715639717 3060330306 3431279434 5146919151 10293838302 18872036887 37744073774 56616110661 113232221322