Search a number
-
+
322001320113 = 33112937385501
BaseRepresentation
bin1001010111110001100…
…01100011100010110001
31010210010211021220002000
410223320301203202301
520233424314220423
6403531513444213
732156331026634
oct4537061434261
91123124256060
10322001320113
11114618394790
12524a5710669
1324498023715
1411829147c1b
158598e9d843
hex4af8c638b1

322001320113 has 32 divisors (see below), whose sum is σ = 538351228800. Its totient is φ = 188422920000.

The previous prime is 322001320049. The next prime is 322001320153. The reversal of 322001320113 is 311023100223.

322001320113 is a `hidden beast` number, since 32 + 200 + 1 + 320 + 113 = 666.

It is not a de Polignac number, because 322001320113 - 26 = 322001320049 is a prime.

It is not an unprimeable number, because it can be changed into a prime (322001320153) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18684138 + ... + 18701363.

It is an arithmetic number, because the mean of its divisors is an integer number (16823475900).

Almost surely, 2322001320113 is an apocalyptic number.

322001320113 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

322001320113 is a deficient number, since it is larger than the sum of its proper divisors (216349908687).

322001320113 is a wasteful number, since it uses less digits than its factorization.

322001320113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37385550 (or 37385544 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 322001320113 its reverse (311023100223), we get a palindrome (633024420336).

The spelling of 322001320113 in words is "three hundred twenty-two billion, one million, three hundred twenty thousand, one hundred thirteen".

Divisors: 1 3 9 11 27 29 33 87 99 261 297 319 783 957 2871 8613 37385501 112156503 336469509 411240511 1009408527 1084179529 1233721533 3252538587 3701164599 9757615761 11103493797 11925974819 29272847283 35777924457 107333773371 322001320113