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901113983 = 71123134319
BaseRepresentation
bin110101101101011…
…110100001111111
32022210121022222222
4311231132201333
53321141121413
6225225555555
731221225320
oct6555364177
92283538888
10901113983
11422723300
12211945bbb
131148c6753
148796a447
155419bb08
hex35b5e87f

901113983 has 24 divisors (see below), whose sum is σ = 1168527360. Its totient is φ = 679496400.

The previous prime is 901113919. The next prime is 901113991. The reversal of 901113983 is 389311109.

It is not a de Polignac number, because 901113983 - 26 = 901113919 is a prime.

It is a Smith number, since the sum of its digits (35) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (901110983) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9098 + ... + 43416.

It is an arithmetic number, because the mean of its divisors is an integer number (48688640).

Almost surely, 2901113983 is an apocalyptic number.

901113983 is a deficient number, since it is larger than the sum of its proper divisors (267413377).

901113983 is a wasteful number, since it uses less digits than its factorization.

901113983 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34379 (or 34368 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 35.

The square root of 901113983 is about 30018.5606417097. The cubic root of 901113983 is about 965.8875680551.

The spelling of 901113983 in words is "nine hundred one million, one hundred thirteen thousand, nine hundred eighty-three".

Divisors: 1 7 11 31 77 121 217 341 847 2387 3751 26257 34319 240233 377509 1063889 2642563 4152599 7447223 11702779 29068193 81919453 128730569 901113983