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21211322231 = 1131532694363
BaseRepresentation
bin10011110000010010…
…110001011101110111
32000202020211210222002
4103300102301131313
5321420044302411
613424440125515
71350431156411
oct236022613567
960666753862
1021211322231
118aa5269380
12413b76689b
132000634758
1410531219b1
1584229133b
hex4f04b1777

21211322231 has 32 divisors (see below), whose sum is σ = 24432814080. Its totient is φ = 18236649600.

The previous prime is 21211322203. The next prime is 21211322273. The reversal of 21211322231 is 13222311212.

It is a cyclic number.

It is not a de Polignac number, because 21211322231 - 210 = 21211321207 is a prime.

It is a super-2 number, since 2×212113222312 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21211322731) 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, 4859456 + ... + 4863818.

It is an arithmetic number, because the mean of its divisors is an integer number (763525440).

Almost surely, 221211322231 is an apocalyptic number.

21211322231 is a deficient number, since it is larger than the sum of its proper divisors (3221491849).

21211322231 is a wasteful number, since it uses less digits than its factorization.

21211322231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4727.

The product of its digits is 288, while the sum is 20.

Adding to 21211322231 its reverse (13222311212), we get a palindrome (34433633443).

The spelling of 21211322231 in words is "twenty-one billion, two hundred eleven million, three hundred twenty-two thousand, two hundred thirty-one".

Divisors: 1 11 31 53 269 341 583 1643 2959 4363 8339 14257 18073 47993 91729 135253 156827 231239 441967 1173647 1487783 2543629 4861637 7168409 12910117 36383057 62203291 78852499 400213627 684236201 1928302021 21211322231