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10172400330 = 2351724182763
BaseRepresentation
bin10010111100101001…
…01000001011001010
3222020221011110220210
421132110220023022
5131313113302310
64401221501550
7510036655551
oct113624501312
928227143823
1010172400330
114350066a24
121b7a8718b6
13c616301c1
146c6ddcd98
153e80b4820
hex25e5282ca

10172400330 has 64 divisors (see below), whose sum is σ = 25957438848. Its totient is φ = 2542448640.

The previous prime is 10172400323. The next prime is 10172400331. The reversal of 10172400330 is 3300427101.

It is a junction number, because it is equal to n+sod(n) for n = 10172400297 and 10172400306.

It is not an unprimeable number, because it can be changed into a prime (10172400331) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 81529 + ... + 164291.

It is an arithmetic number, because the mean of its divisors is an integer number (405584982).

Almost surely, 210172400330 is an apocalyptic number.

10172400330 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 10172400330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12978719424).

10172400330 is an abundant number, since it is smaller than the sum of its proper divisors (15785038518).

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

10172400330 is a wasteful number, since it uses less digits than its factorization.

10172400330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83031.

The product of its (nonzero) digits is 504, while the sum is 21.

Adding to 10172400330 its reverse (3300427101), we get a palindrome (13472827431).

The spelling of 10172400330 in words is "ten billion, one hundred seventy-two million, four hundred thousand, three hundred thirty".

Divisors: 1 2 3 5 6 10 15 17 30 34 51 85 102 170 241 255 482 510 723 1205 1446 2410 3615 4097 7230 8194 12291 20485 24582 40970 61455 82763 122910 165526 248289 413815 496578 827630 1241445 1406971 2482890 2813942 4220913 7034855 8441826 14069710 19945883 21104565 39891766 42209130 59837649 99729415 119675298 199458830 299188245 339080011 598376490 678160022 1017240033 1695400055 2034480066 3390800110 5086200165 10172400330