Search a number
-
+
83939011032001 is a prime number
BaseRepresentation
bin10011000101011110010010…
…111011110111001111000001
3102000012111021000001010202111
4103011132102323313033001
542000224043311011001
6454305014353215321
723452251641343226
oct2305362273671701
9360174230033674
1083939011032001
1124822375495424
1294b7b38b61541
1337ab551356ab8
1416a2953d6594d
159a86a643d851
hex4c5792ef73c1

83939011032001 has 2 divisors, whose sum is σ = 83939011032002. Its totient is φ = 83939011032000.

The previous prime is 83939011031989. The next prime is 83939011032061. The reversal of 83939011032001 is 10023011093938.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 58617030942976 + 25321980089025 = 7656176^2 + 5032095^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-83939011032001 is a prime.

It is not a weakly prime, because it can be changed into another prime (83939011032061) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 41969505516000 + 41969505516001.

It is an arithmetic number, because the mean of its divisors is an integer number (41969505516001).

Almost surely, 283939011032001 is an apocalyptic number.

It is an amenable number.

83939011032001 is a deficient number, since it is larger than the sum of its proper divisors (1).

83939011032001 is an equidigital number, since it uses as much as digits as its factorization.

83939011032001 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 40.

The spelling of 83939011032001 in words is "eighty-three trillion, nine hundred thirty-nine billion, eleven million, thirty-two thousand, one".