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11013313322319 = 371149995544451
BaseRepresentation
bin1010000001000011110010…
…1000001101110101001111
31102222212021202000112012020
42200100330220031311033
52420420231202303234
635231240222141223
72214454112435160
oct240207450156517
942885252015166
1011013313322319
1135667a1288030
12129a554421813
1361b7216a9679
142a1093781767
1514173539c549
hexa043ca0dd4f

11013313322319 has 32 divisors (see below), whose sum is σ = 18344534784000. Its totient is φ = 5709736332000.

The previous prime is 11013313322309. The next prime is 11013313322339. The reversal of 11013313322319 is 91322331331011.

It is a happy number.

It is not a de Polignac number, because 11013313322319 - 219 = 11013312798031 is a prime.

It is a super-2 number, since 2×110133133223192 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a self number, because there is not a number n which added to its sum of digits gives 11013313322319.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11013313322309) 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, 47656957 + ... + 47887494.

It is an arithmetic number, because the mean of its divisors is an integer number (573266712000).

Almost surely, 211013313322319 is an apocalyptic number.

11013313322319 is a deficient number, since it is larger than the sum of its proper divisors (7331221461681).

11013313322319 is a wasteful number, since it uses less digits than its factorization.

11013313322319 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95544971.

The product of its (nonzero) digits is 8748, while the sum is 33.

The spelling of 11013313322319 in words is "eleven trillion, thirteen billion, three hundred thirteen million, three hundred twenty-two thousand, three hundred nineteen".

Divisors: 1 3 7 11 21 33 77 231 499 1497 3493 5489 10479 16467 38423 115269 95544451 286633353 668811157 1050988961 2006433471 3152966883 7356922727 22070768181 47676681049 143030043147 333736767343 524443491539 1001210302029 1573330474617 3671104440773 11013313322319