Search a number
-
+
10123124310 = 2335132884081
BaseRepresentation
bin10010110110110001…
…01001111001010110
3222010111102222221000
421123120221321112
5131213004434220
64352301404130
7505601064645
oct113330517126
928114388830
1010123124310
114325270142
121b66269646
13c543694b0
146c065335c
153e3ace390
hex25b629e56

10123124310 has 64 divisors (see below), whose sum is σ = 29071546560. Its totient is φ = 2491845120.

The previous prime is 10123124303. The next prime is 10123124339. The reversal of 10123124310 is 1342132101.

10123124310 is a `hidden beast` number, since 1 + 0 + 1 + 231 + 2 + 431 + 0 = 666.

10123124310 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×101231243102 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1438531 + ... + 1445550.

It is an arithmetic number, because the mean of its divisors is an integer number (454242915).

Almost surely, 210123124310 is an apocalyptic number.

10123124310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10123124310 is an abundant number, since it is smaller than the sum of its proper divisors (18948422250).

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

10123124310 is a wasteful number, since it uses less digits than its factorization.

10123124310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2884110 (or 2884104 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 10123124310 its reverse (1342132101), we get a palindrome (11465256411).

The spelling of 10123124310 in words is "ten billion, one hundred twenty-three million, one hundred twenty-four thousand, three hundred ten".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 27 30 39 45 54 65 78 90 117 130 135 195 234 270 351 390 585 702 1170 1755 3510 2884081 5768162 8652243 14420405 17304486 25956729 28840810 37493053 43261215 51913458 74986106 77870187 86522430 112479159 129783645 155740374 187465265 224958318 259567290 337437477 374930530 389350935 562395795 674874954 778701870 1012312431 1124791590 1687187385 2024624862 3374374770 5061562155 10123124310