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11013020022213 = 32111723391113513
BaseRepresentation
bin1010000001000010101100…
…1001010111010111000101
31102222211112022010100002100
42200100223021113113011
52420414131111202323
635231151143502313
72214443621431626
oct240205311272705
942884468110070
1011013020022213
11356666076a350
12129a492157999
1361b6a59b6301
142a1066833a4d
15141719763943
hexa042b2575c5

11013020022213 has 72 divisors (see below), whose sum is σ = 18440311159296. Its totient is φ = 6280028697600.

The previous prime is 11013020022203. The next prime is 11013020022217. The reversal of 11013020022213 is 31222002031011.

11013020022213 is a `hidden beast` number, since 110 + 130 + 200 + 2 + 221 + 3 = 666.

It is not a de Polignac number, because 11013020022213 - 26 = 11013020022149 is a prime.

It is a super-2 number, since 2×110130200222132 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11013020022217) 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 71 ways as a sum of consecutive naturals, for example, 96963145 + ... + 97076657.

It is an arithmetic number, because the mean of its divisors is an integer number (256115432768).

Almost surely, 211013020022213 is an apocalyptic number.

It is an amenable number.

11013020022213 is a deficient number, since it is larger than the sum of its proper divisors (7427291137083).

11013020022213 is a wasteful number, since it uses less digits than its factorization.

11013020022213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116955 (or 116935 counting only the distinct ones).

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

Adding to 11013020022213 its reverse (31222002031011), we get a palindrome (42235022053224).

The spelling of 11013020022213 in words is "eleven trillion, thirteen billion, twenty million, twenty-two thousand, two hundred thirteen".

Divisors: 1 3 9 11 17 33 51 99 153 187 289 561 867 1683 2601 3179 3391 9537 10173 28611 30519 37301 57647 111903 113513 172941 335709 340539 518823 634117 979999 1021617 1248643 1902351 1929721 2939997 3745929 5707053 5789163 8819991 10779989 11237787 17367489 21226931 32339967 32805257 63680793 97019901 98415771 191042379 295247313 360857827 384922583 1082573481 1154767749 3247720443 3464303247 4234148413 6543683911 12702445239 19631051733 38107335717 58893155199 71980523021 111242626487 215941569063 333727879461 647824707189 1001183638383 1223668891357 3671006674071 11013020022213