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133123106629 is a prime number
BaseRepresentation
bin111101111111011000…
…0010110011101000101
3110201121120121111111201
41323332300112131011
54140114003403004
6141053402102501
712421625510332
oct1737660263505
9421546544451
10133123106629
1151503583397
12219727aaa31
13c726c30016
14662c199989
1536e21236a4
hex1efec16745

133123106629 has 2 divisors, whose sum is σ = 133123106630. Its totient is φ = 133123106628.

The previous prime is 133123106603. The next prime is 133123106639. The reversal of 133123106629 is 926601321331.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 123747057729 + 9376048900 = 351777^2 + 96830^2 .

It is a cyclic number.

It is not a de Polignac number, because 133123106629 - 29 = 133123106117 is a prime.

It is a super-2 number, since 2×1331231066292 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (133123106639) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 66561553314 + 66561553315.

It is an arithmetic number, because the mean of its divisors is an integer number (66561553315).

Almost surely, 2133123106629 is an apocalyptic number.

It is an amenable number.

133123106629 is a deficient number, since it is larger than the sum of its proper divisors (1).

133123106629 is an equidigital number, since it uses as much as digits as its factorization.

133123106629 is an evil number, because the sum of its binary digits is even.

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

The spelling of 133123106629 in words is "one hundred thirty-three billion, one hundred twenty-three million, one hundred six thousand, six hundred twenty-nine".