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2312355055001 is a prime number
BaseRepresentation
bin100001101001100011000…
…110100000010110011001
322012001120222222200221212
4201221203012200112121
5300341200343230001
64530140425512505
7326030212444055
oct41514306402631
98161528880855
102312355055001
11811734166842
12314197042735
1313a091c607c4
147dcc0834c65
154023a1937bb
hex21a631a0599

2312355055001 has 2 divisors, whose sum is σ = 2312355055002. Its totient is φ = 2312355055000.

The previous prime is 2312355054983. The next prime is 2312355055037. The reversal of 2312355055001 is 1005505532132.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2164064597776 + 148290457225 = 1471076^2 + 385085^2 .

It is a cyclic number.

It is not a de Polignac number, because 2312355055001 - 210 = 2312355053977 is a prime.

It is a super-2 number, since 2×23123550550012 (a number of 26 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (2312355055501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1156177527500 + 1156177527501.

It is an arithmetic number, because the mean of its divisors is an integer number (1156177527501).

Almost surely, 22312355055001 is an apocalyptic number.

It is an amenable number.

2312355055001 is a deficient number, since it is larger than the sum of its proper divisors (1).

2312355055001 is an equidigital number, since it uses as much as digits as its factorization.

2312355055001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 22500, while the sum is 32.

The spelling of 2312355055001 in words is "two trillion, three hundred twelve billion, three hundred fifty-five million, fifty-five thousand, one".