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112223013320 = 235112296771181
BaseRepresentation
bin110100010000100000…
…0110100100111001000
3101201200000101202100202
41220201000310213020
53314313042411240
6123315440351332
711051663605565
oct1504100644710
9351600352322
10112223013320
1143658a68a00
12198bb315548
13a775c283c2
14560853186c
152dbc35d315
hex1a210349c8

112223013320 has 192 divisors, whose sum is σ = 287781303600. Its totient is φ = 39309670400.

The previous prime is 112223013319. The next prime is 112223013377. The reversal of 112223013320 is 23310322211.

It can be written as a sum of positive squares in 8 ways, for example, as 105714719044 + 6508294276 = 325138^2 + 80674^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 112223013292 and 112223013301.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 95023130 + ... + 95024310.

Almost surely, 2112223013320 is an apocalyptic number.

112223013320 is a gapful number since it is divisible by the number (10) 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 112223013320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143890651800).

112223013320 is an abundant number, since it is smaller than the sum of its proper divisors (175558290280).

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

112223013320 is a wasteful number, since it uses less digits than its factorization.

112223013320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1920 (or 1905 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 112223013320 its reverse (23310322211), we get a palindrome (135533335531).

The spelling of 112223013320 in words is "one hundred twelve billion, two hundred twenty-three million, thirteen thousand, three hundred twenty".