Search a number
-
+
10024231220 = 22517231281871
BaseRepresentation
bin10010101010111110…
…11010000100110100
3221212121100201002222
421111133122010310
5131012200344340
64334410021512
7503260362623
oct112537320464
927777321088
1010024231220
114284465313
121b39117898
13c39a22783
146b146d6ba
153da0978b5
hex2557da134

10024231220 has 48 divisors (see below), whose sum is σ = 23258285568. Its totient is φ = 3609745920.

The previous prime is 10024231181. The next prime is 10024231229. The reversal of 10024231220 is 2213242001.

10024231220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10024231229) 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 15 ways as a sum of consecutive naturals, for example, 633116 + ... + 648755.

It is an arithmetic number, because the mean of its divisors is an integer number (484547616).

Almost surely, 210024231220 is an apocalyptic number.

10024231220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10024231220 is an abundant number, since it is smaller than the sum of its proper divisors (13234054348).

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

10024231220 is a wasteful number, since it uses less digits than its factorization.

10024231220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1281920 (or 1281918 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

Adding to 10024231220 its reverse (2213242001), we get a palindrome (12237473221).

The spelling of 10024231220 in words is "ten billion, twenty-four million, two hundred thirty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 17 20 23 34 46 68 85 92 115 170 230 340 391 460 782 1564 1955 3910 7820 1281871 2563742 5127484 6409355 12818710 21791807 25637420 29483033 43583614 58966066 87167228 108959035 117932132 147415165 217918070 294830330 435836140 501211561 589660660 1002423122 2004846244 2506057805 5012115610 10024231220