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2117443401 = 32415738329
BaseRepresentation
bin111111000110101…
…1001111101001001
312110120100021021200
41332031121331021
513314031142101
6550040054413
7103320654243
oct17615317511
95416307250
102117443401
11997272627
124b1164409
132798b76b8
1416130b093
15c5d60986
hex7e359f49

2117443401 has 12 divisors (see below), whose sum is σ = 3133128180. Its totient is φ = 1377198720.

The previous prime is 2117443379. The next prime is 2117443403. The reversal of 2117443401 is 1043447112.

2117443401 is a `hidden beast` number, since 211 + 7 + 4 + 43 + 401 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1249551801 + 867891600 = 35349^2 + 29460^2 .

It is not a de Polignac number, because 2117443401 - 222 = 2113249097 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2117443403) 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 11 ways as a sum of consecutive naturals, for example, 2868796 + ... + 2869533.

It is an arithmetic number, because the mean of its divisors is an integer number (261094015).

Almost surely, 22117443401 is an apocalyptic number.

It is an amenable number.

2117443401 is a deficient number, since it is larger than the sum of its proper divisors (1015684779).

2117443401 is a wasteful number, since it uses less digits than its factorization.

2117443401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5738376 (or 5738373 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 2117443401 is about 46015.6864666822. The cubic root of 2117443401 is about 1284.1150525052.

The spelling of 2117443401 in words is "two billion, one hundred seventeen million, four hundred forty-three thousand, four hundred one".

Divisors: 1 3 9 41 123 369 5738329 17214987 51644961 235271489 705814467 2117443401