Search a number
-
+
112504122000 = 2432536793287
BaseRepresentation
bin110100011000111000…
…1001010101010010000
3101202101121100112222100
41220301301022222100
53320402023401000
6123403401440400
711061646154454
oct1506161125220
9352347315870
10112504122000
114379270a026
12199794a0100
13a7bc2405ba
1456339c8664
152dd6d89a00
hex1a31c4aa90

112504122000 has 240 divisors, whose sum is σ = 398808438912. Its totient is φ = 29553004800.

The previous prime is 112504121957. The next prime is 112504122079. The reversal of 112504122000 is 221405211.

112504122000 is a `hidden beast` number, since 1 + 1 + 2 + 50 + 412 + 200 + 0 = 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 an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1159357 + ... + 1252643.

Almost surely, 2112504122000 is an apocalyptic number.

112504122000 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 112504122000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199404219456).

112504122000 is an abundant number, since it is smaller than the sum of its proper divisors (286304316912).

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

112504122000 is a wasteful number, since it uses less digits than its factorization.

112504122000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93383 (or 93364 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

Adding to 112504122000 its reverse (221405211), we get a palindrome (112725527211).

It can be divided in two parts, 1125041 and 22000, that added together give a square (1147041 = 10712).

The spelling of 112504122000 in words is "one hundred twelve billion, five hundred four million, one hundred twenty-two thousand".