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920311134201 = 33138124681823
BaseRepresentation
bin11010110010001101101…
…00010111011111111001
310020222111001202121101000
431121012310113133321
5110034244122243301
61542441325315213
7123330111366144
oct15310664273771
93228431677330
10920311134201
11325335708618
1212a442405b09
1368a2875c704
1432786b3d05b
1518e15755786
hexd646d177f9

920311134201 has 16 divisors (see below), whose sum is σ = 1364411230720. Its totient is φ = 613096458480.

The previous prime is 920311134191. The next prime is 920311134209. The reversal of 920311134201 is 102431113029.

920311134201 is a `hidden beast` number, since 9 + 2 + 0 + 311 + 1 + 342 + 0 + 1 = 666.

It is not a de Polignac number, because 920311134201 - 225 = 920277579769 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (920311134209) 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, 12303625 + ... + 12378198.

It is an arithmetic number, because the mean of its divisors is an integer number (85275701920).

Almost surely, 2920311134201 is an apocalyptic number.

It is an amenable number.

920311134201 is a deficient number, since it is larger than the sum of its proper divisors (444100096519).

920311134201 is a wasteful number, since it uses less digits than its factorization.

920311134201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24683213 (or 24683207 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The spelling of 920311134201 in words is "nine hundred twenty billion, three hundred eleven million, one hundred thirty-four thousand, two hundred one".

Divisors: 1 3 9 27 1381 4143 12429 37287 24681823 74045469 222136407 666409221 34085597563 102256792689 306770378067 920311134201