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332002133137 is a prime number
BaseRepresentation
bin1001101010011001101…
…11101000010010010001
31011201221210120211110101
410311030313220102101
520414420021230022
6412304125532401
732662215366133
oct4651467502221
91151853524411
10332002133137
1111888a604614
1254416a14101
13253ccc36c6c
14120d743d053
158981e6c627
hex4d4cde8491

332002133137 has 2 divisors, whose sum is σ = 332002133138. Its totient is φ = 332002133136.

The previous prime is 332002133107. The next prime is 332002133153. The reversal of 332002133137 is 731331200233.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 331610132736 + 392000401 = 575856^2 + 19799^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-332002133137 is a prime.

It is a super-2 number, since 2×3320021331372 (a number of 24 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (332002133107) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 166001066568 + 166001066569.

It is an arithmetic number, because the mean of its divisors is an integer number (166001066569).

Almost surely, 2332002133137 is an apocalyptic number.

It is an amenable number.

332002133137 is a deficient number, since it is larger than the sum of its proper divisors (1).

332002133137 is an equidigital number, since it uses as much as digits as its factorization.

332002133137 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 6804, while the sum is 28.

The spelling of 332002133137 in words is "three hundred thirty-two billion, two million, one hundred thirty-three thousand, one hundred thirty-seven".