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112121302320 = 243253174631061
BaseRepresentation
bin110100001101011110…
…0110100110100110000
3101201101221000022002200
41220122330310310300
53314111023133240
6123301404343200
711046320226216
oct1503274646460
9351357008080
10112121302320
1143606608a25
1219891244b00
13a75ab35b91
1455d8c16cb6
152db346b930
hex1a1af34d30

112121302320 has 240 divisors, whose sum is σ = 378901141632. Its totient is φ = 29712291840.

The previous prime is 112121302301. The next prime is 112121302421. The reversal of 112121302320 is 23203121211.

112121302320 is a `hidden beast` number, since 1 + 1 + 21 + 21 + 302 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 112121302293 and 112121302302.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 105674590 + ... + 105675650.

Almost surely, 2112121302320 is an apocalyptic number.

112121302320 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 112121302320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189450570816).

112121302320 is an abundant number, since it is smaller than the sum of its proper divisors (266779839312).

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

112121302320 is a wasteful number, since it uses less digits than its factorization.

112121302320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1860 (or 1851 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 112121302320 its reverse (23203121211), we get a palindrome (135324423531).

The spelling of 112121302320 in words is "one hundred twelve billion, one hundred twenty-one million, three hundred two thousand, three hundred twenty".