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10253417000 = 235310253417
BaseRepresentation
bin10011000110010011…
…01011101000101000
3222110120121112220012
421203021223220220
5131444333321000
64413234151052
7512042415011
oct114311535050
928416545805
1010253417000
114391871a52
121ba1a22488
13c75358268
146d3a8c008
15400269735
hex26326ba28

10253417000 has 32 divisors (see below), whose sum is σ = 23992998120. Its totient is φ = 4101366400.

The previous prime is 10253416931. The next prime is 10253417003. The reversal of 10253417000 is 71435201.

It can be written as a sum of positive squares in 4 ways, for example, as 1339413604 + 8914003396 = 36598^2 + 94414^2 .

It is not an unprimeable number, because it can be changed into a prime (10253417003) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5125709 + ... + 5127708.

Almost surely, 210253417000 is an apocalyptic number.

10253417000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10253417000 is an abundant number, since it is smaller than the sum of its proper divisors (13739581120).

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

10253417000 is a wasteful number, since it uses less digits than its factorization.

10253417000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10253438 (or 10253424 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 23.

The spelling of 10253417000 in words is "ten billion, two hundred fifty-three million, four hundred seventeen thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 1000 10253417 20506834 41013668 51267085 82027336 102534170 205068340 256335425 410136680 512670850 1025341700 1281677125 2050683400 2563354250 5126708500 10253417000