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113023212000 = 2535311238387
BaseRepresentation
bin110100101000010110…
…1010101100111100000
3101210201210010001120220
41221100231111213200
53322432420241000
6123531103403040
711110551310416
oct1512055254740
9353653101526
10113023212000
1143a29725026
1219aa32b3480
13a87294a84a
14568290d2b6
152e177241a0
hex1a50b559e0

113023212000 has 192 divisors, whose sum is σ = 370637938944. Its totient is φ = 30109094400.

The previous prime is 113023211969. The next prime is 113023212019. The reversal of 113023212000 is 212320311.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13471807 + ... + 13480193.

It is an arithmetic number, because the mean of its divisors is an integer number (1930405932).

Almost surely, 2113023212000 is an apocalyptic number.

113023212000 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 113023212000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185318969472).

113023212000 is an abundant number, since it is smaller than the sum of its proper divisors (257614726944).

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

113023212000 is a wasteful number, since it uses less digits than its factorization.

113023212000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9538 (or 9520 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 113023212000 its reverse (212320311), we get a palindrome (113235532311).

The spelling of 113023212000 in words is "one hundred thirteen billion, twenty-three million, two hundred twelve thousand".