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33420100093 is a prime number
BaseRepresentation
bin11111000111111111…
…100100000111111101
310012021002210222200221
4133013333210013331
51021421021200333
623204124421341
72262116110102
oct370777440775
9105232728627
1033420100093
111319a858936
1265883a7851
1331c7b07a73
141890768aa9
15d09001d2d
hex7c7fe41fd

33420100093 has 2 divisors, whose sum is σ = 33420100094. Its totient is φ = 33420100092.

The previous prime is 33420100069. The next prime is 33420100111. The reversal of 33420100093 is 39000102433.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 29452737924 + 3967362169 = 171618^2 + 62987^2 .

It is a cyclic number.

It is not a de Polignac number, because 33420100093 - 217 = 33419969021 is a prime.

It is a super-2 number, since 2×334201000932 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (33420100393) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 16710050046 + 16710050047.

It is an arithmetic number, because the mean of its divisors is an integer number (16710050047).

Almost surely, 233420100093 is an apocalyptic number.

It is an amenable number.

33420100093 is a deficient number, since it is larger than the sum of its proper divisors (1).

33420100093 is an equidigital number, since it uses as much as digits as its factorization.

33420100093 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1944, while the sum is 25.

The spelling of 33420100093 in words is "thirty-three billion, four hundred twenty million, one hundred thousand, ninety-three".