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10035354225 = 3521347218993
BaseRepresentation
bin10010101100010011…
…10101101001110001
3221220101021211000010
421112021311221301
5131023022313400
64335444245133
7503454050331
oct112611655161
927811254003
1010035354225
11428a772186
121b409a07a9
13c3c118530
146b2b270c1
153db043450
hex256275a71

10035354225 has 48 divisors (see below), whose sum is σ = 18248332032. Its totient is φ = 4835343360.

The previous prime is 10035354223. The next prime is 10035354229. The reversal of 10035354225 is 52245353001.

10035354225 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10035354225 - 21 = 10035354223 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10035354192 and 10035354201.

It is not an unprimeable number, because it can be changed into a prime (10035354223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 63672 + ... + 155321.

It is an arithmetic number, because the mean of its divisors is an integer number (380173584).

Almost surely, 210035354225 is an apocalyptic number.

10035354225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10035354225 is a deficient number, since it is larger than the sum of its proper divisors (8212977807).

10035354225 is a wasteful number, since it uses less digits than its factorization.

10035354225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219066 (or 219061 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 30.

The spelling of 10035354225 in words is "ten billion, thirty-five million, three hundred fifty-four thousand, two hundred twenty-five".

Divisors: 1 3 5 13 15 25 39 47 65 75 141 195 235 325 611 705 975 1175 1833 3055 3525 9165 15275 45825 218993 656979 1094965 2846909 3284895 5474825 8540727 10292671 14234545 16424475 30878013 42703635 51463355 71172725 133804723 154390065 213518175 257316775 401414169 669023615 771950325 2007070845 3345118075 10035354225