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133037542097 is a prime number
BaseRepresentation
bin111101111100110100…
…1111100101011010001
3110201101121121101000222
41323321221330223101
54134430102321342
6141041104122425
712416536310135
oct1737151745321
9421347541028
10133037542097
115146a2514a9
122194a006415
13c7122a1c15
146620a853c5
1536d9870ed2
hex1ef9a7cad1

133037542097 has 2 divisors, whose sum is σ = 133037542098. Its totient is φ = 133037542096.

The previous prime is 133037542091. The next prime is 133037542111. The reversal of 133037542097 is 790245730331.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 111069559441 + 21967982656 = 333271^2 + 148216^2 .

It is a cyclic number.

It is not a de Polignac number, because 133037542097 - 28 = 133037541841 is a prime.

It is a super-2 number, since 2×1330375420972 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (133037542091) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 66518771048 + 66518771049.

It is an arithmetic number, because the mean of its divisors is an integer number (66518771049).

Almost surely, 2133037542097 is an apocalyptic number.

It is an amenable number.

133037542097 is a deficient number, since it is larger than the sum of its proper divisors (1).

133037542097 is an equidigital number, since it uses as much as digits as its factorization.

133037542097 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 476280, while the sum is 44.

The spelling of 133037542097 in words is "one hundred thirty-three billion, thirty-seven million, five hundred forty-two thousand, ninety-seven".