Search a number
-
+
10124313210 = 232511219167293
BaseRepresentation
bin10010110110111010…
…01100001001111010
3222010120200101210100
421123131030021322
5131213311010320
64352343100230
7505614146064
oct113335141172
928116611710
1010124313210
114325a02400
121b66741676
13c5469469b
146c0882734
153e3c66790
hex25b74c27a

10124313210 has 288 divisors, whose sum is σ = 30743556480. Its totient is φ = 2303389440.

The previous prime is 10124313187. The next prime is 10124313247. The reversal of 10124313210 is 1231342101.

10124313210 is a `hidden beast` number, since 10 + 12 + 431 + 3 + 210 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 34553824 + ... + 34554116.

It is an arithmetic number, because the mean of its divisors is an integer number (106748460).

Almost surely, 210124313210 is an apocalyptic number.

10124313210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10124313210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15371778240).

10124313210 is an abundant number, since it is smaller than the sum of its proper divisors (20619243270).

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

10124313210 is a wasteful number, since it uses less digits than its factorization.

10124313210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 514 (or 500 counting only the distinct ones).

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

Adding to 10124313210 its reverse (1231342101), we get a palindrome (11355655311).

The spelling of 10124313210 in words is "ten billion, one hundred twenty-four million, three hundred thirteen thousand, two hundred ten".