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901113825 = 35273164587
BaseRepresentation
bin110101101101011…
…110011111100001
32022210121022210010
4311231132133201
53321141120300
6225225555133
731221225003
oct6555363741
92283538703
10901113825
11422723177
12211945aa9
131148c6661
148796a373
155419ba50
hex35b5e7e1

901113825 has 24 divisors (see below), whose sum is σ = 1510259488. Its totient is φ = 474007680.

The previous prime is 901113823. The next prime is 901113847. The reversal of 901113825 is 528311109.

It is not a de Polignac number, because 901113825 - 21 = 901113823 is a prime.

It is a super-2 number, since 2×9011138252 = 1624012251212261250, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 901113792 and 901113801.

It is not an unprimeable number, because it can be changed into a prime (901113823) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 76819 + ... + 87768.

Almost surely, 2901113825 is an apocalyptic number.

It is an amenable number.

901113825 is a deficient number, since it is larger than the sum of its proper divisors (609145663).

901113825 is a wasteful number, since it uses less digits than its factorization.

901113825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164673 (or 164668 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 30.

The square root of 901113825 is about 30018.5580100044. The cubic root of 901113825 is about 965.8875116026.

The spelling of 901113825 in words is "nine hundred one million, one hundred thirteen thousand, eight hundred twenty-five".

Divisors: 1 3 5 15 25 73 75 219 365 1095 1825 5475 164587 493761 822935 2468805 4114675 12014851 12344025 36044553 60074255 180222765 300371275 901113825