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310023000000 = 263256721937
BaseRepresentation
bin1001000001011101100…
…11111000111111000000
31002122020000222011221100
410200232303320333000
520034411342000000
6354231140454400
731253442006600
oct4405663707700
91078200864840
10310023000000
1110a5309a057a
12501020aa400
132330950cb3c
1411010370c00
1580e75b1a00
hex482ecf8fc0

310023000000 has 1764 divisors, whose sum is σ = 1396882900920. Its totient is φ = 65318400000.

The previous prime is 310022999999. The next prime is 310023000013. The reversal of 310023000000 is 320013.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1764).

It is a super-2 number, since 2×3100230000002 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 251 ways as a sum of consecutive naturals, for example, 8378999982 + ... + 8379000018.

Almost surely, 2310023000000 is an apocalyptic number.

310023000000 is a gapful number since it is divisible by the number (30) 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 310023000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (698441450460).

310023000000 is an abundant number, since it is smaller than the sum of its proper divisors (1086859900920).

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

310023000000 is an equidigital number, since it uses as much as digits as its factorization.

310023000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 9.

Adding to 310023000000 its reverse (320013), we get a palindrome (310023320013).

The spelling of 310023000000 in words is "three hundred ten billion, twenty-three million", and thus it is an aban number.