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133031222081 is a prime number
BaseRepresentation
bin111101111100101000…
…1110101101101000001
3110201101011201021121022
41323321101311231001
54134421443101311
6141040320435225
712416431505342
oct1737121655501
9421334637538
10133031222081
115146672514a
1221947a78b15
13c710b9b374
14661dcbc0c9
1536d90235db
hex1ef9475b41

133031222081 has 2 divisors, whose sum is σ = 133031222082. Its totient is φ = 133031222080.

The previous prime is 133031222069. The next prime is 133031222087. The reversal of 133031222081 is 180222130331.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 132426849025 + 604373056 = 363905^2 + 24584^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-133031222081 is a prime.

It is a super-2 number, since 2×1330312220812 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 133031222081.

It is not a weakly prime, because it can be changed into another prime (133031222087) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 66515611040 + 66515611041.

It is an arithmetic number, because the mean of its divisors is an integer number (66515611041).

Almost surely, 2133031222081 is an apocalyptic number.

It is an amenable number.

133031222081 is a deficient number, since it is larger than the sum of its proper divisors (1).

133031222081 is an equidigital number, since it uses as much as digits as its factorization.

133031222081 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1728, while the sum is 26.

The spelling of 133031222081 in words is "one hundred thirty-three billion, thirty-one million, two hundred twenty-two thousand, eighty-one".