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10025505281 = 114753593617
BaseRepresentation
bin10010101011001000…
…10001001000000001
3221212200202102210102
421111210101020001
5131013012132111
64334453212145
7503304250241
oct112544211001
927780672712
1010025505281
114285155560
121b39631055
13c3a07a65c
146b16c1b21
153da24a13b
hex255911201

10025505281 has 32 divisors (see below), whose sum is σ = 11418029568. Its totient is φ = 8722954240.

The previous prime is 10025505209. The next prime is 10025505289. The reversal of 10025505281 is 18250552001.

It is a de Polignac number, because none of the positive numbers 2k-10025505281 is a prime.

It is a super-2 number, since 2×100255052812 (a number of 21 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (10025505289) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16248485 + ... + 16249101.

It is an arithmetic number, because the mean of its divisors is an integer number (356813424).

Almost surely, 210025505281 is an apocalyptic number.

10025505281 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10025505281 is a deficient number, since it is larger than the sum of its proper divisors (1392524287).

10025505281 is a wasteful number, since it uses less digits than its factorization.

10025505281 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1321.

The product of its (nonzero) digits is 4000, while the sum is 29.

The spelling of 10025505281 in words is "ten billion, twenty-five million, five hundred five thousand, two hundred eighty-one".

Divisors: 1 11 47 53 517 583 593 617 2491 6523 6787 27401 27871 28999 31429 32701 306581 318989 345719 359711 365881 1477163 1536947 4024691 16248793 16906417 17196407 19391693 189160477 213308623 911409571 10025505281