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11221313319 = 3331163233353
BaseRepresentation
bin10100111001101011…
…11010011100100111
31001222000212210001000
422130311322130213
5140440124011234
65053251404343
7545034406116
oct123465723447
931860783030
1011221313319
114839158867
122211bb36b3
13109aa34a88
1478643dc7d
1545a208899
hex29cd7a727

11221313319 has 64 divisors (see below), whose sum is σ = 17388933120. Its totient is φ = 7143966720.

The previous prime is 11221313317. The next prime is 11221313353. The reversal of 11221313319 is 91331312211.

11221313319 is a `hidden beast` number, since 1 + 12 + 21 + 313 + 319 = 666.

It is not a de Polignac number, because 11221313319 - 21 = 11221313317 is a prime.

It is a super-2 number, since 2×112213133192 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 11221313292 and 11221313301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11221313317) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 31788247 + ... + 31788599.

It is an arithmetic number, because the mean of its divisors is an integer number (271702080).

Almost surely, 211221313319 is an apocalyptic number.

11221313319 is a deficient number, since it is larger than the sum of its proper divisors (6167619801).

11221313319 is a wasteful number, since it uses less digits than its factorization.

11221313319 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 789 (or 783 counting only the distinct ones).

The product of its digits is 972, while the sum is 27.

The spelling of 11221313319 in words is "eleven billion, two hundred twenty-one million, three hundred thirteen thousand, three hundred nineteen".

Divisors: 1 3 9 27 31 93 163 233 279 353 489 699 837 1059 1467 2097 3177 4401 5053 6291 7223 9531 10943 15159 21669 32829 37979 45477 57539 65007 82249 98487 113937 136431 172617 195021 246747 295461 341811 517851 740241 1025433 1177349 1553553 1783709 2220723 2549719 3532047 5351127 7649157 10596141 13406587 16053381 22947471 31788423 40219761 48160143 68842413 120659283 361977849 415604197 1246812591 3740437773 11221313319