Search a number
-
+
10320922480 = 24511223151307
BaseRepresentation
bin10011001110010110…
…01100011101110000
3222122021122012000011
421213023030131300
5132114124004410
64424045104304
7513522252001
oct114713143560
928567565004
1010320922480
114416989900
122000558094
13c8633252b
146dca211a8
1540615118a
hex2672cc770

10320922480 has 240 divisors, whose sum is σ = 27795220992. Its totient is φ = 3554496000.

The previous prime is 10320922441. The next prime is 10320922483. The reversal of 10320922480 is 8422902301.

10320922480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10320922483) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 33618487 + ... + 33618793.

Almost surely, 210320922480 is an apocalyptic number.

10320922480 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 10320922480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13897610496).

10320922480 is an abundant number, since it is smaller than the sum of its proper divisors (17474298512).

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

10320922480 is a wasteful number, since it uses less digits than its factorization.

10320922480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 516 (or 499 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 31.

The spelling of 10320922480 in words is "ten billion, three hundred twenty million, nine hundred twenty-two thousand, four hundred eighty".