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112065623040 = 2103574324239
BaseRepresentation
bin110100001011110100…
…0011011010000000000
3101201021001020111111010
41220113220123100000
53314002244414130
6123252055120520
711045043036030
oct1502750332000
9351231214433
10112065623040
1143588139298
1219876673140
13a74c43c767
1455d16818c0
152dad61e0b0
hex1a17a1b400

112065623040 has 352 divisors, whose sum is σ = 419183677440. Its totient is φ = 25018269696.

The previous prime is 112065623027. The next prime is 112065623149. The reversal of 112065623040 is 40326560211.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 112065622989 and 112065623007.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4611241 + ... + 4635479.

It is an arithmetic number, because the mean of its divisors is an integer number (1190862720).

Almost surely, 2112065623040 is an apocalyptic number.

112065623040 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 112065623040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209591838720).

112065623040 is an abundant number, since it is smaller than the sum of its proper divisors (307118054400).

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

112065623040 is a wasteful number, since it uses less digits than its factorization.

112065623040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24317 (or 24299 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The spelling of 112065623040 in words is "one hundred twelve billion, sixty-five million, six hundred twenty-three thousand, forty".