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21123003213 = 32131095716477
BaseRepresentation
bin10011101011000001…
…110111001101001101
32000112002122202001100
4103223001313031031
5321224442100323
613412003133313
71345306364514
oct235301671515
960462582040
1021123003213
118a5a425a54
124116074239
131cb8250990
1410454d167b
15839647943
hex4eb07734d

21123003213 has 24 divisors (see below), whose sum is σ = 32862998168. Its totient is φ = 12996796032.

The previous prime is 21123003199. The next prime is 21123003227. The reversal of 21123003213 is 31230032112.

It is an interprime number because it is at equal distance from previous prime (21123003199) and next prime (21123003227).

It can be written as a sum of positive squares in 4 ways, for example, as 635947524 + 20487055689 = 25218^2 + 143133^2 .

It is not a de Polignac number, because 21123003213 - 210 = 21123002189 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21123003283) 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, 1273731 + ... + 1290207.

Almost surely, 221123003213 is an apocalyptic number.

It is an amenable number.

21123003213 is a deficient number, since it is larger than the sum of its proper divisors (11739994955).

21123003213 is a wasteful number, since it uses less digits than its factorization.

21123003213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27453 (or 27450 counting only the distinct ones).

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

Adding to 21123003213 its reverse (31230032112), we get a palindrome (52353035325).

It can be divided in two parts, 21123003 and 213, that added together give a square (21123216 = 45962).

The spelling of 21123003213 in words is "twenty-one billion, one hundred twenty-three million, three thousand, two hundred thirteen".

Divisors: 1 3 9 13 39 117 10957 16477 32871 49431 98613 142441 148293 214201 427323 642603 1281969 1927809 180538489 541615467 1624846401 2347000357 7041001071 21123003213