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21222123313 = 3153113151757
BaseRepresentation
bin10011110000111011…
…111110011100110001
32000210000011120021011
4103300323332130301
5321430330421223
613425503430521
71350622033426
oct236073763461
960700146234
1021222123313
119000376396
1241432b5441
132002946b21
141054733d4d
158431c680d
hex4f0efe731

21222123313 has 32 divisors (see below), whose sum is σ = 22696630272. Its totient is φ = 19813248000.

The previous prime is 21222123289. The next prime is 21222123317. The reversal of 21222123313 is 31332122212.

It is a cyclic number.

It is not a de Polignac number, because 21222123313 - 225 = 21188568881 is a prime.

It is a super-3 number, since 3×212221233133 (a number of 32 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (21222123317) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28034131 + ... + 28034887.

It is an arithmetic number, because the mean of its divisors is an integer number (709269696).

Almost surely, 221222123313 is an apocalyptic number.

It is an amenable number.

21222123313 is a deficient number, since it is larger than the sum of its proper divisors (1474506959).

21222123313 is a wasteful number, since it uses less digits than its factorization.

21222123313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1105.

The product of its digits is 864, while the sum is 22.

Adding to 21222123313 its reverse (31332122212), we get a palindrome (52554245525).

The spelling of 21222123313 in words is "twenty-one billion, two hundred twenty-two million, one hundred twenty-three thousand, three hundred thirteen".

Divisors: 1 31 53 113 151 757 1643 3503 4681 5989 8003 17063 23467 40121 85541 114307 185659 248093 528953 904339 1243751 2651771 3543517 4533673 6058271 12916691 28034509 140543863 187806401 400417421 684584623 21222123313