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10000123133224 = 237225510518197
BaseRepresentation
bin1001000110000101010111…
…0010010111110100101000
31022102000001202221001212011
42101201111302113310220
52302320223010230344
633133554304125304
72051325242065300
oct221412562276450
938360052831764
1010000123133224
113206034895914
121156111006834
1357701380b613
14268019622600
151251d5b66d34
hex91855c97d28

10000123133224 has 24 divisors (see below), whose sum is σ = 21811493059290. Its totient is φ = 4285767056928.

The previous prime is 10000123133213. The next prime is 10000123133243. The reversal of 10000123133224 is 42233132100001.

It can be written as a sum of positive squares in only one way, i.e., 8563524322500 + 1436598810724 = 2926350^2 + 1198582^2 .

It is a junction number, because it is equal to n+sod(n) for n = 10000123133195 and 10000123133204.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 12755258707 + ... + 12755259490.

Almost surely, 210000123133224 is an apocalyptic number.

10000123133224 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

10000123133224 is an abundant number, since it is smaller than the sum of its proper divisors (11811369926066).

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

10000123133224 is a wasteful number, since it uses less digits than its factorization.

10000123133224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25510518217 (or 25510518206 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 10000123133224 its reverse (42233132100001), we get a palindrome (52233255233225).

The spelling of 10000123133224 in words is "ten trillion, one hundred twenty-three million, one hundred thirty-three thousand, two hundred twenty-four".

Divisors: 1 2 4 7 8 14 28 49 56 98 196 392 25510518197 51021036394 102042072788 178573627379 204084145576 357147254758 714294509516 1250015391653 1428589019032 2500030783306 5000061566612 10000123133224