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2141132993 is a prime number
BaseRepresentation
bin111111110011111…
…0001100011000001
312112012220211021222
41333213301203001
513341112223433
6552243524425
7104026221146
oct17747614301
95465824258
102141132993
119a96829aa
124b9089715
132817902cc
141645163cd
15c7e8eb98
hex7f9f18c1

2141132993 has 2 divisors, whose sum is σ = 2141132994. Its totient is φ = 2141132992.

The previous prime is 2141132977. The next prime is 2141133011. The reversal of 2141132993 is 3992311412.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1218917569 + 922215424 = 34913^2 + 30368^2 .

It is a cyclic number.

It is not a de Polignac number, because 2141132993 - 24 = 2141132977 is a prime.

It is not a weakly prime, because it can be changed into another prime (2141132963) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1070566496 + 1070566497.

It is an arithmetic number, because the mean of its divisors is an integer number (1070566497).

Almost surely, 22141132993 is an apocalyptic number.

It is an amenable number.

2141132993 is a deficient number, since it is larger than the sum of its proper divisors (1).

2141132993 is an equidigital number, since it uses as much as digits as its factorization.

2141132993 is an evil number, because the sum of its binary digits is even.

The product of its digits is 11664, while the sum is 35.

The square root of 2141132993 is about 46272.3782941832. The cubic root of 2141132993 is about 1288.8861231876.

The spelling of 2141132993 in words is "two billion, one hundred forty-one million, one hundred thirty-two thousand, nine hundred ninety-three".