Search a number
-
+
21211322223 = 37213233713043
BaseRepresentation
bin10011110000010010…
…110001011101101111
32000202020211210221210
4103300102301131233
5321420044302343
613424440125503
71350431156400
oct236022613557
960666753853
1021211322223
118aa5269373
12413b766893
132000634750
1410531219a7
15842291333
hex4f04b176f

21211322223 has 96 divisors (see below), whose sum is σ = 37972440576. Its totient is φ = 10411898112.

The previous prime is 21211322203. The next prime is 21211322273. The reversal of 21211322223 is 32222311212.

It is not a de Polignac number, because 21211322223 - 210 = 21211321199 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 21211322223.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21211322203) 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 95 ways as a sum of consecutive naturals, for example, 1619740 + ... + 1632782.

It is an arithmetic number, because the mean of its divisors is an integer number (395546256).

Almost surely, 221211322223 is an apocalyptic number.

21211322223 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

21211322223 is a deficient number, since it is larger than the sum of its proper divisors (16761118353).

21211322223 is a wasteful number, since it uses less digits than its factorization.

21211322223 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13133 (or 13126 counting only the distinct ones).

The product of its digits is 576, while the sum is 21.

Adding to 21211322223 its reverse (32222311212), we get a palindrome (53433633435).

The spelling of 21211322223 in words is "twenty-one billion, two hundred eleven million, three hundred twenty-two thousand, two hundred twenty-three".

Divisors: 1 3 7 13 21 23 37 39 49 69 91 111 147 161 259 273 299 481 483 637 777 851 897 1127 1443 1813 1911 2093 2553 3367 3381 5439 5957 6279 10101 11063 13043 14651 17871 23569 33189 39129 41699 43953 70707 77441 91301 125097 169559 232323 273903 299989 482591 508677 542087 639107 899967 1186913 1447773 1626261 1917321 2099923 3378137 3560739 3899857 6273683 6299769 8308391 10134411 11099593 11699571 14699461 18821049 23646959 24925173 27298999 33298779 43915781 44098383 70940877 77697151 81896997 131747343 144294709 191092993 233091453 307410467 432884127 543880057 573278979 922231401 1010062963 1631640171 3030188889 7070440741 21211322223