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2263358101 is a prime number
BaseRepresentation
bin1000011011101000…
…0001101010010101
312211201220111121211
42012322001222111
514113404424401
61012331341421
7110042140444
oct20672015225
95751814554
102263358101
11a61674494
12531bb1871
132a0bb5c64
14176850d5b
15d3a84951
hex86e81a95

2263358101 has 2 divisors, whose sum is σ = 2263358102. Its totient is φ = 2263358100.

The previous prime is 2263358089. The next prime is 2263358131. The reversal of 2263358101 is 1018533622.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1530843876 + 732514225 = 39126^2 + 27065^2 .

It is a cyclic number.

It is not a de Polignac number, because 2263358101 - 213 = 2263349909 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2263358131) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1131679050 + 1131679051.

It is an arithmetic number, because the mean of its divisors is an integer number (1131679051).

Almost surely, 22263358101 is an apocalyptic number.

It is an amenable number.

2263358101 is a deficient number, since it is larger than the sum of its proper divisors (1).

2263358101 is an equidigital number, since it uses as much as digits as its factorization.

2263358101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 8640, while the sum is 31.

The square root of 2263358101 is about 47574.7632784442. The cubic root of 2263358101 is about 1312.9587767735.

The spelling of 2263358101 in words is "two billion, two hundred sixty-three million, three hundred fifty-eight thousand, one hundred one".