Search a number
-
+
10123001130 = 23511109281429
BaseRepresentation
bin10010110110110000…
…01011110100101010
3222010111012201221210
421123120023310222
5131212442014010
64352255013550
7505600042554
oct113330136452
928114181853
1010123001130
114325196640
121b6620a2b6
13c543253c8
146c06204d4
153e3aa7b20
hex25b60bd2a

10123001130 has 64 divisors (see below), whose sum is σ = 26747107200. Its totient is φ = 2431537920.

The previous prime is 10123001129. The next prime is 10123001143. The reversal of 10123001130 is 3110032101.

10123001130 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 104745 + ... + 176684.

It is an arithmetic number, because the mean of its divisors is an integer number (417923550).

Almost surely, 210123001130 is an apocalyptic number.

10123001130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10123001130 is an abundant number, since it is smaller than the sum of its proper divisors (16624106070).

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

10123001130 is a wasteful number, since it uses less digits than its factorization.

10123001130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 281559.

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 10123001130 its reverse (3110032101), we get a palindrome (13233033231).

The spelling of 10123001130 in words is "ten billion, one hundred twenty-three million, one thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 109 110 165 218 327 330 545 654 1090 1199 1635 2398 3270 3597 5995 7194 11990 17985 35970 281429 562858 844287 1407145 1688574 2814290 3095719 4221435 6191438 8442870 9287157 15478595 18574314 30675761 30957190 46435785 61351522 92027283 92871570 153378805 184054566 306757610 337433371 460136415 674866742 920272830 1012300113 1687166855 2024600226 3374333710 5061500565 10123001130