Search a number
-
+
254034312213 = 311131201129221
BaseRepresentation
bin1110110010010110011…
…1111111110000010101
3220021201002101011002010
43230211213333300111
513130230240442323
6312411324534433
724232131011643
oct3544547776025
9807632334063
10254034312213
119880a823780
12412976b1419
131ac55b35296
14c41c538193
15691c0bac93
hex3b259ffc15

254034312213 has 32 divisors (see below), whose sum is σ = 372522991104. Its totient is φ = 152703720000.

The previous prime is 254034312193. The next prime is 254034312227. The reversal of 254034312213 is 312213430452.

It is not a de Polignac number, because 254034312213 - 210 = 254034311189 is a prime.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (254034312253) 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 31 ways as a sum of consecutive naturals, for example, 8678943 + ... + 8708163.

It is an arithmetic number, because the mean of its divisors is an integer number (11641343472).

Almost surely, 2254034312213 is an apocalyptic number.

It is an amenable number.

254034312213 is a deficient number, since it is larger than the sum of its proper divisors (118488678891).

254034312213 is a wasteful number, since it uses less digits than its factorization.

254034312213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31377.

The product of its (nonzero) digits is 17280, while the sum is 30.

Adding to 254034312213 its reverse (312213430452), we get a palindrome (566247742665).

The spelling of 254034312213 in words is "two hundred fifty-four billion, thirty-four million, three hundred twelve thousand, two hundred thirteen".

Divisors: 1 3 11 33 131 393 1441 2011 4323 6033 22121 29221 66363 87663 263441 321431 790323 964293 2897851 3827951 8693553 11483853 42107461 58763431 126322383 176290293 646397741 1939193223 7698009461 23094028383 84678104071 254034312213