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10200014625 = 353191431581
BaseRepresentation
bin10010111111111011…
…11101111100100001
3222022212010102121110
421133331331330201
5131342200432000
64404045413533
7510523456653
oct113775757441
928285112543
1010200014625
114364707a59
121b87b6a2a9
13c6727b318
146ca94a6d3
153ea71b850
hex25ff7df21

10200014625 has 32 divisors (see below), whose sum is σ = 17866143360. Its totient is φ = 5153688000.

The previous prime is 10200014597. The next prime is 10200014639. The reversal of 10200014625 is 52641000201.

It is not a de Polignac number, because 10200014625 - 28 = 10200014369 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 708666 + ... + 722915.

It is an arithmetic number, because the mean of its divisors is an integer number (558316980).

Almost surely, 210200014625 is an apocalyptic number.

10200014625 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10200014625 is a deficient number, since it is larger than the sum of its proper divisors (7666128735).

10200014625 is a wasteful number, since it uses less digits than its factorization.

10200014625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1431618 (or 1431608 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

Adding to 10200014625 its reverse (52641000201), we get a palindrome (62841014826).

The spelling of 10200014625 in words is "ten billion, two hundred million, fourteen thousand, six hundred twenty-five".

Divisors: 1 3 5 15 19 25 57 75 95 125 285 375 475 1425 2375 7125 1431581 4294743 7157905 21473715 27200039 35789525 81600117 107368575 136000195 178947625 408000585 536842875 680000975 2040002925 3400004875 10200014625