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113223432312 = 2334389449171
BaseRepresentation
bin110100101110010100…
…1000111100001111000
3101211020201212022020000
41221130221013201320
53323340144313222
6124003015033000
711115532203204
oct1513451074170
9354221768200
10113223432312
1144021748561
1219b3a36b760
13a8a52811c3
1456a134bb04
152e2a0c39ac
hex1a5ca47878

113223432312 has 80 divisors (see below), whose sum is σ = 317946400200. Its totient is φ = 37644039360.

The previous prime is 113223432277. The next prime is 113223432347. The reversal of 113223432312 is 213234322311.

113223432312 is a `hidden beast` number, since 1 + 1 + 3 + 2 + 2 + 343 + 2 + 312 = 666.

It is an interprime number because it is at equal distance from previous prime (113223432277) and next prime (113223432347).

It is a Harshad number since it is a multiple of its sum of digits (27).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 27487 + ... + 476657.

Almost surely, 2113223432312 is an apocalyptic number.

113223432312 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 113223432312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158973200100).

113223432312 is an abundant number, since it is smaller than the sum of its proper divisors (204722967888).

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

113223432312 is a wasteful number, since it uses less digits than its factorization.

113223432312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 449578 (or 449565 counting only the distinct ones).

The product of its digits is 5184, while the sum is 27.

Adding to 113223432312 its reverse (213234322311), we get a palindrome (326457754623).

The spelling of 113223432312 in words is "one hundred thirteen billion, two hundred twenty-three million, four hundred thirty-two thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 324 389 648 778 1167 1556 2334 3112 3501 4668 7002 9336 10503 14004 21006 28008 31509 42012 63018 84024 126036 252072 449171 898342 1347513 1796684 2695026 3593368 4042539 5390052 8085078 10780104 12127617 16170156 24255234 32340312 36382851 48510468 72765702 97020936 145531404 174727519 291062808 349455038 524182557 698910076 1048365114 1397820152 1572547671 2096730228 3145095342 4193460456 4717643013 6290190684 9435286026 12580381368 14152929039 18870572052 28305858078 37741144104 56611716156 113223432312