Search a number
-
+
3315522000011 = 1317313730614273
BaseRepresentation
bin110000001111110100100…
…000101101010010001011
3102201221221102120121021112
4300033310200231102023
5413310142113000021
611015044011000535
7461352504001664
oct60176440552213
912657842517245
103315522000011
111069117808361
124566a173914b
131b08633934b0
14b668770036b
155b39e978d5b
hex303f482d48b

3315522000011 has 64 divisors (see below), whose sum is σ = 4010271906816. Its totient is φ = 2710676275200.

The previous prime is 3315521999989. The next prime is 3315522000031. The reversal of 3315522000011 is 1100002255133.

It is a happy number.

It is not a de Polignac number, because 3315522000011 - 218 = 3315521737867 is a prime.

It is a super-2 number, since 2×33155220000112 (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3315522000031) 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 63 ways as a sum of consecutive naturals, for example, 775921571 + ... + 775925843.

It is an arithmetic number, because the mean of its divisors is an integer number (62660498544).

Almost surely, 23315522000011 is an apocalyptic number.

3315522000011 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

3315522000011 is a deficient number, since it is larger than the sum of its proper divisors (694749906805).

3315522000011 is a wasteful number, since it uses less digits than its factorization.

3315522000011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7432.

The product of its (nonzero) digits is 900, while the sum is 23.

Adding to 3315522000011 its reverse (1100002255133), we get a palindrome (4415524255144).

The spelling of 3315522000011 in words is "three trillion, three hundred fifteen billion, five hundred twenty-two million, eleven", and thus it is an aban number.

Divisors: 1 13 17 31 37 221 403 481 527 629 1147 3061 4273 6851 8177 14911 19499 39793 52037 55549 72641 94891 113257 132463 158101 253487 676481 944333 1233583 1472341 1613147 1722019 1925369 2055313 2251871 2687717 3510967 4901131 13079653 20970911 25029797 29274323 34940321 45642571 59686439 63714703 83319227 170035489 222354101 405469243 483947161 775923707 1083149951 2890603313 5271100159 6291313093 6892977131 8227101737 15002361991 89608702703 106952322581 195030705883 255040153847 3315522000011