Search a number
-
+
21122013231 = 3211732922653
BaseRepresentation
bin10011101010111110…
…000101100000101111
32000112000210110001100
4103222332011200233
5321224213410411
613411530014143
71345265102334
oct235276054057
960460713040
1021122013231
118a5990a190
124115877353
131cb7c951a7
14104531498b
158394ee456
hex4eaf8582f

21122013231 has 24 divisors (see below), whose sum is σ = 33739117776. Its totient is φ = 12625856640.

The previous prime is 21122013217. The next prime is 21122013257. The reversal of 21122013231 is 13231022112.

21122013231 is a `hidden beast` number, since 211 + 220 + 1 + 3 + 231 = 666.

It is not a de Polignac number, because 21122013231 - 218 = 21121751087 is a prime.

It is a super-2 number, since 2×211220132312 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21122013431) 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 23 ways as a sum of consecutive naturals, for example, 1454100 + ... + 1468553.

It is an arithmetic number, because the mean of its divisors is an integer number (1405796574).

Almost surely, 221122013231 is an apocalyptic number.

21122013231 is a deficient number, since it is larger than the sum of its proper divisors (12617104545).

21122013231 is a wasteful number, since it uses less digits than its factorization.

21122013231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2922743 (or 2922740 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 21122013231 its reverse (13231022112), we get a palindrome (34353035343).

The spelling of 21122013231 in words is "twenty-one billion, one hundred twenty-two million, thirteen thousand, two hundred thirty-one".

Divisors: 1 3 9 11 33 73 99 219 657 803 2409 7227 2922653 8767959 26303877 32149183 96447549 213353669 289342647 640061007 1920183021 2346890359 7040671077 21122013231