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10320311320 = 23511192431511
BaseRepresentation
bin10011001110010001…
…10111010000011000
3222122020111010122121
421213020313100120
5132113444430240
64424024031024
7513514125124
oct114710672030
928566433577
1010320311320
114416601710
122000302474
13c8617a2b7
146dc902584
1540608004a
hex267237418

10320311320 has 192 divisors, whose sum is σ = 27374941440. Its totient is φ = 3470342400.

The previous prime is 10320311303. The next prime is 10320311423. The reversal of 10320311320 is 2311302301.

It is a junction number, because it is equal to n+sod(n) for n = 10320311294 and 10320311303.

It is a congruent number.

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, 6829365 + ... + 6830875.

It is an arithmetic number, because the mean of its divisors is an integer number (142577820).

Almost surely, 210320311320 is an apocalyptic number.

10320311320 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 10320311320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13687470720).

10320311320 is an abundant number, since it is smaller than the sum of its proper divisors (17054630120).

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

10320311320 is a wasteful number, since it uses less digits than its factorization.

10320311320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1614 (or 1591 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 10320311320 its reverse (2311302301), we get a palindrome (12631613621).

The spelling of 10320311320 in words is "ten billion, three hundred twenty million, three hundred eleven thousand, three hundred twenty".