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2100331393 is a prime number
BaseRepresentation
bin111110100110000…
…1000001110000001
312102101010220000121
41331030020032001
513300141101033
6544225220241
7103022344066
oct17514101601
95371126017
102100331393
11988645076
124a7491681
132761a5954
1415cd34c6d
15c45d062d
hex7d308381

2100331393 has 2 divisors, whose sum is σ = 2100331394. Its totient is φ = 2100331392.

The previous prime is 2100331369. The next prime is 2100331423. The reversal of 2100331393 is 3931330012.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1152738304 + 947593089 = 33952^2 + 30783^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2100331393 is a prime.

It is a super-2 number, since 2×21003313932 = 8822783920842640898, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (2100331693) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1050165696 + 1050165697.

It is an arithmetic number, because the mean of its divisors is an integer number (1050165697).

Almost surely, 22100331393 is an apocalyptic number.

It is an amenable number.

2100331393 is a deficient number, since it is larger than the sum of its proper divisors (1).

2100331393 is an equidigital number, since it uses as much as digits as its factorization.

2100331393 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1458, while the sum is 25.

The square root of 2100331393 is about 45829.3726009859. The cubic root of 2100331393 is about 1280.6465225510.

The spelling of 2100331393 in words is "two billion, one hundred million, three hundred thirty-one thousand, three hundred ninety-three".