Search a number
-
+
10023333320 = 235711131671499
BaseRepresentation
bin10010101010110111…
…11110110111001000
3221212112200002102102
421111123332313020
5131011433131240
64334334452532
7503246633060
oct112533766710
927775602372
1010023333320
114283a01750
121b38964148
13c39799b80
146b12b83a0
153d9e6b815
hex2556fedc8

10023333320 has 256 divisors, whose sum is σ = 30481920000. Its totient is φ = 2864655360.

The previous prime is 10023333319. The next prime is 10023333343. The reversal of 10023333320 is 2333332001.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 10023333292 and 10023333301.

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, 6685931 + ... + 6687429.

It is an arithmetic number, because the mean of its divisors is an integer number (119070000).

Almost surely, 210023333320 is an apocalyptic number.

10023333320 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 10023333320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15240960000).

10023333320 is an abundant number, since it is smaller than the sum of its proper divisors (20458586680).

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

10023333320 is a wasteful number, since it uses less digits than its factorization.

10023333320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1708 (or 1704 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 20.

Adding to 10023333320 its reverse (2333332001), we get a palindrome (12356665321).

It can be divided in two parts, 10023 and 333320, that added together give a palindrome (343343).

The spelling of 10023333320 in words is "ten billion, twenty-three million, three hundred thirty-three thousand, three hundred twenty".