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112653400320 = 28355373971
BaseRepresentation
bin110100011101010101…
…0100111100100000000
3101202210000020200100000
41220322222213210000
53321203232302240
6123430253200000
711065441050306
oct1507252474400
9352700220300
10112653400320
11438599a903a
12199bb490000
13a814148b76
145649766276
152de5025430
hex1a3aaa7900

112653400320 has 432 divisors, whose sum is σ = 405705972672. Its totient is φ = 29929512960.

The previous prime is 112653400309. The next prime is 112653400331. The reversal of 112653400320 is 23004356211.

112653400320 is a `hidden beast` number, since 1 + 1 + 2 + 653 + 4 + 0 + 0 + 3 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (112653400309) and next prime (112653400331).

It is a tau number, because it is divible by the number of its divisors (432).

It is a super-2 number, since 2×1126534003202 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 116017435 + ... + 116018405.

It is an arithmetic number, because the mean of its divisors is an integer number (939134196).

Almost surely, 2112653400320 is an apocalyptic number.

112653400320 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 112653400320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202852986336).

112653400320 is an abundant number, since it is smaller than the sum of its proper divisors (293052572352).

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

112653400320 is an frugal number, since it uses more digits than its factorization.

112653400320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1380 (or 1354 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

Adding to 112653400320 its reverse (23004356211), we get a palindrome (135657756531).

The spelling of 112653400320 in words is "one hundred twelve billion, six hundred fifty-three million, four hundred thousand, three hundred twenty".