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102133312123069 is a prime number
BaseRepresentation
bin10111001110001111000011…
…110010011111000010111101
3111101121211221010102220120101
4113032033003302133002331
5101341323010400414234
61001115221301121101
730340613454041203
oct2716170362370275
9441554833386511
10102133312123069
112a5a75490a1187
12b5561536b9191
1344cb18c81a176
141b313c89c1073
15bc1ac62aa814
hex5ce3c3c9f0bd

102133312123069 has 2 divisors, whose sum is σ = 102133312123070. Its totient is φ = 102133312123068.

The previous prime is 102133312122973. The next prime is 102133312123109. The reversal of 102133312123069 is 960321213331201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 80038752887844 + 22094559235225 = 8946438^2 + 4700485^2 .

It is a cyclic number.

It is not a de Polignac number, because 102133312123069 - 215 = 102133312090301 is a prime.

It is a super-2 number, since 2×1021333121230692 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (102133312123169) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51066656061534 + 51066656061535.

It is an arithmetic number, because the mean of its divisors is an integer number (51066656061535).

Almost surely, 2102133312123069 is an apocalyptic number.

It is an amenable number.

102133312123069 is a deficient number, since it is larger than the sum of its proper divisors (1).

102133312123069 is an equidigital number, since it uses as much as digits as its factorization.

102133312123069 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 34992, while the sum is 37.

The spelling of 102133312123069 in words is "one hundred two trillion, one hundred thirty-three billion, three hundred twelve million, one hundred twenty-three thousand, sixty-nine".