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10099825353 = 321975696461
BaseRepresentation
bin10010110011111111…
…10001101011001001
3222001212121021202200
421121333301223021
5131141023402403
64350110150413
7505166045652
oct113177615311
928055537680
1010099825353
1143130a7302
121b5a4b2409
13c4c59c627
146bb50a529
153e1a2aca3
hex259ff1ac9

10099825353 has 12 divisors (see below), whose sum is σ = 14662693188. Its totient is φ = 6699036960.

The previous prime is 10099825339. The next prime is 10099825357. The reversal of 10099825353 is 35352899001.

10099825353 is a `hidden beast` number, since 100 + 9 + 9 + 8 + 2 + 535 + 3 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 7312302144 + 2787523209 = 85512^2 + 52797^2 .

It is not a de Polignac number, because 10099825353 - 212 = 10099821257 is a prime.

It is a super-2 number, since 2×100998253532 (a number of 21 digits) contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 10099825299 and 10099825308.

It is not an unprimeable number, because it can be changed into a prime (10099825357) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2846458 + ... + 2850003.

It is an arithmetic number, because the mean of its divisors is an integer number (1221891099).

Almost surely, 210099825353 is an apocalyptic number.

It is an amenable number.

10099825353 is a deficient number, since it is larger than the sum of its proper divisors (4562867835).

10099825353 is a wasteful number, since it uses less digits than its factorization.

10099825353 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5696664 (or 5696661 counting only the distinct ones).

The product of its (nonzero) digits is 291600, while the sum is 45.

The spelling of 10099825353 in words is "ten billion, ninety-nine million, eight hundred twenty-five thousand, three hundred fifty-three".

Divisors: 1 3 9 197 591 1773 5696461 17089383 51268149 1122202817 3366608451 10099825353