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993256121 = 111310316737
BaseRepresentation
bin111011001100111…
…110001010111001
32120012222122020202
4323030332022321
54013233143441
6242320531545
733420352304
oct7314761271
92505878222
10993256121
1146a738030
12238780bb5
1312aa18720
1495cb3b3b
155c2ed19b
hex3b33e2b9

993256121 has 16 divisors (see below), whose sum is σ = 1168207488. Its totient is φ = 832569600.

The previous prime is 993256111. The next prime is 993256129. The reversal of 993256121 is 121652399.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-993256121 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (993256129) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 144065 + ... + 150801.

It is an arithmetic number, because the mean of its divisors is an integer number (73012968).

Almost surely, 2993256121 is an apocalyptic number.

It is an amenable number.

993256121 is a deficient number, since it is larger than the sum of its proper divisors (174951367).

993256121 is a wasteful number, since it uses less digits than its factorization.

993256121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7792.

The product of its digits is 29160, while the sum is 38.

The square root of 993256121 is about 31515.9661282976. The cubic root of 993256121 is about 997.7469679924.

The spelling of 993256121 in words is "nine hundred ninety-three million, two hundred fifty-six thousand, one hundred twenty-one".

Divisors: 1 11 13 143 1031 6737 11341 13403 74107 87581 147433 963391 6945847 76404317 90296011 993256121