Search a number
-
+
10023311220 = 223513233167269
BaseRepresentation
bin10010101010110111…
…11001011101110100
3221212112121222002220
421111123321131310
5131011431424340
64334334202340
7503246511456
oct112533713564
927775558086
1010023311220
11428399708a
121b389533b0
13c3978cab0
146b12b02d6
153d9e64ed0
hex2556f9774

10023311220 has 384 divisors, whose sum is σ = 33164328960. Its totient is φ = 2241423360.

The previous prime is 10023311219. The next prime is 10023311237. The reversal of 10023311220 is 2211332001.

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

It is a self number, because there is not a number n which added to its sum of digits gives 10023311220.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 37261246 + ... + 37261514.

It is an arithmetic number, because the mean of its divisors is an integer number (86365440).

Almost surely, 210023311220 is an apocalyptic number.

10023311220 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 10023311220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16582164480).

10023311220 is an abundant number, since it is smaller than the sum of its proper divisors (23141017740).

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

10023311220 is a wasteful number, since it uses less digits than its factorization.

10023311220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 415 (or 413 counting only the distinct ones).

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

Adding to 10023311220 its reverse (2211332001), we get a palindrome (12234643221).

The spelling of 10023311220 in words is "ten billion, twenty-three million, three hundred eleven thousand, two hundred twenty".