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33202201213313 = 11375964114391499
BaseRepresentation
bin1111000110010011111010…
…11010001011100110000001
311100120002200111012221102122
413203021331122023212001
513322441102002311223
6154340514120254025
76664531332531656
oct743117532134601
9140502614187378
1033202201213313
11a640a7a007090
123882986011315
13156ac53325cb2
1482add0839c2d
153c89ead4d5c8
hex1e327d68b981

33202201213313 has 64 divisors (see below), whose sum is σ = 37940659200000. Its totient is φ = 28785989836800.

The previous prime is 33202201213261. The next prime is 33202201213361. The reversal of 33202201213313 is 31331210220233.

It is a cyclic number.

It is not a de Polignac number, because 33202201213313 - 214 = 33202201196929 is a prime.

It is a super-2 number, since 2×332022012133132 (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (33202201213913) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 22149566438 + ... + 22149567936.

It is an arithmetic number, because the mean of its divisors is an integer number (592822800000).

Almost surely, 233202201213313 is an apocalyptic number.

It is an amenable number.

33202201213313 is a deficient number, since it is larger than the sum of its proper divisors (4738457986687).

33202201213313 is a wasteful number, since it uses less digits than its factorization.

33202201213313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3686.

The product of its (nonzero) digits is 3888, while the sum is 26.

Adding to 33202201213313 its reverse (31331210220233), we get a palindrome (64533411433546).

The spelling of 33202201213313 in words is "thirty-three trillion, two hundred two billion, two hundred one million, two hundred thirteen thousand, three hundred thirteen".

Divisors: 1 11 37 59 407 641 649 1439 1499 2183 7051 15829 16489 23717 24013 37819 53243 55463 84901 88441 260887 416009 585673 610093 922399 933911 960859 972851 1399303 2157061 3141337 3272317 10146389 10569449 15392333 23727671 34128763 34554707 35551783 35995487 54421541 56690681 79811257 127266599 375416393 391069613 598636951 623597491 877923827 1382676101 1399932589 2013597017 2097555197 4708864163 15209437111 22149567187 23073107167 51159015737 51797505793 81577889959 562749173107 897356789549 3018381928483 33202201213313