Search a number
-
+
10024233114 = 2372223152897
BaseRepresentation
bin10010101010111110…
…11010100010011010
3221212121100210201010
421111133122202122
5131012200424424
64334410034350
7503260401300
oct112537324232
927777323633
1010024233114
114284466785
121b391189b6
13c39a235ac
146b1470270
153da098229
hex2557da89a

10024233114 has 48 divisors (see below), whose sum is σ = 23426419968. Its totient is φ = 2851204608.

The previous prime is 10024233113. The next prime is 10024233157. The reversal of 10024233114 is 41133242001.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (10024233113) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10887 + ... + 142010.

It is an arithmetic number, because the mean of its divisors is an integer number (488050416).

Almost surely, 210024233114 is an apocalyptic number.

10024233114 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10024233114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11713209984).

10024233114 is an abundant number, since it is smaller than the sum of its proper divisors (13402186854).

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

10024233114 is a wasteful number, since it uses less digits than its factorization.

10024233114 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153139 (or 153132 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 10024233114 its reverse (41133242001), we get a palindrome (51157475115).

The spelling of 10024233114 in words is "ten billion, twenty-four million, two hundred thirty-three thousand, one hundred fourteen".

Divisors: 1 2 3 6 7 14 21 42 49 98 147 223 294 446 669 1338 1561 3122 4683 9366 10927 21854 32781 65562 152897 305794 458691 917382 1070279 2140558 3210837 6421674 7491953 14983906 22475859 34096031 44951718 68192062 102288093 204576186 238672217 477344434 716016651 1432033302 1670705519 3341411038 5012116557 10024233114