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112513541140 = 2257111343130699
BaseRepresentation
bin110100011001001010…
…1000110010000010100
3101202102021002002121101
41220302111012100110
53320411431304030
6123404335355444
711062122214510
oct1506225062024
9352367062541
10112513541140
1143797a62840
1219980682b84
13a7c118a960
145634d5b140
152dd7aea7ca
hex1a32546414

112513541140 has 192 divisors, whose sum is σ = 324621158400. Its totient is φ = 31618460160.

The previous prime is 112513541059. The next prime is 112513541143. The reversal of 112513541140 is 41145315211.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 112513541099 and 112513541108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112513541143) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 795511 + ... + 926209.

It is an arithmetic number, because the mean of its divisors is an integer number (1690735200).

Almost surely, 2112513541140 is an apocalyptic number.

112513541140 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 112513541140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162310579200).

112513541140 is an abundant number, since it is smaller than the sum of its proper divisors (212107617260).

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

112513541140 is a wasteful number, since it uses less digits than its factorization.

112513541140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130782 (or 130780 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 28.

Adding to 112513541140 its reverse (41145315211), we get a palindrome (153658856351).

The spelling of 112513541140 in words is "one hundred twelve billion, five hundred thirteen million, five hundred forty-one thousand, one hundred forty".