Search a number
-
+
31302300031323 = 3891135391032571
BaseRepresentation
bin1110001111000001000100…
…11110010101100101011011
311002211110201002221220112120
413013200202132111211123
513100324102302000243
6150324024512312323
76410342114122356
oct707404236254533
9132743632856476
1031302300031323
119a7925a355882
123616718b426a3
131460a42bbcb69
147a307a1b129d
153943a0ac9c83
hex1c782279595b

31302300031323 has 16 divisors (see below), whose sum is σ = 42205760956800. Its totient is φ = 20633524148160.

The previous prime is 31302300031297. The next prime is 31302300031351. The reversal of 31302300031323 is 32313000320313.

It is not a de Polignac number, because 31302300031323 - 222 = 31302295837019 is a prime.

It is a super-2 number, since 2×313023000313232 (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 31302300031293 and 31302300031302.

It is not an unprimeable number, because it can be changed into a prime (31302300031423) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29798628 + ... + 30831198.

It is an arithmetic number, because the mean of its divisors is an integer number (2637860059800).

Almost surely, 231302300031323 is an apocalyptic number.

31302300031323 is a deficient number, since it is larger than the sum of its proper divisors (10903460925477).

31302300031323 is a wasteful number, since it uses less digits than its factorization.

31302300031323 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1146202.

The product of its (nonzero) digits is 2916, while the sum is 24.

Adding to 31302300031323 its reverse (32313000320313), we get a palindrome (63615300351636).

The spelling of 31302300031323 in words is "thirty-one trillion, three hundred two billion, three hundred million, thirty-one thousand, three hundred twenty-three".

Divisors: 1 3 89 267 113539 340617 1032571 3097713 10104971 30314913 91898819 275696457 117237078769 351711236307 10434100010441 31302300031323