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112023210040 = 23573127239269
BaseRepresentation
bin110100001010100011…
…0101000100000111000
3101201011002102200210021
41220111012220200320
53313410420210130
6123243542100224
711044016401000
oct1502506504070
9351132380707
10112023210040
11435661aa825
121986441a674
13a74370c801
1455c9ba1000
152da9a4237a
hex1a151a8838

112023210040 has 256 divisors, whose sum is σ = 298598400000. Its totient is φ = 37805031936.

The previous prime is 112023210029. The next prime is 112023210083. The reversal of 112023210040 is 40012320211.

It is a junction number, because it is equal to n+sod(n) for n = 112023209996 and 112023210023.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 416443026 + ... + 416443294.

It is an arithmetic number, because the mean of its divisors is an integer number (1166400000).

Almost surely, 2112023210040 is an apocalyptic number.

112023210040 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 112023210040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149299200000).

112023210040 is an abundant number, since it is smaller than the sum of its proper divisors (186575189960).

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

112023210040 is a wasteful number, since it uses less digits than its factorization.

112023210040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 667 (or 649 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 112023210040 its reverse (40012320211), we get a palindrome (152035530251).

The spelling of 112023210040 in words is "one hundred twelve billion, twenty-three million, two hundred ten thousand, forty".