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1110320113331 = 111321761575957
BaseRepresentation
bin10000001010000100001…
…111000110011010110011
310221010221010011211210102
4100022010033012122303
5121142413422111311
62210023553223015
7143134524146342
oct20120417063263
93833833154712
101110320113331
1139897a837980
1215b22bb61a6b
1380919bb6400
143ba4dd57b59
151dd369e243b
hex102843c66b3

1110320113331 has 48 divisors (see below), whose sum is σ = 1411521005088. Its totient is φ = 862551705600.

The previous prime is 1110320113291. The next prime is 1110320113339. The reversal of 1110320113331 is 1333110230111.

It is not a de Polignac number, because 1110320113331 - 26 = 1110320113267 is a prime.

It is a super-3 number, since 3×11103201133313 (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (1110320113339) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1639805 + ... + 2215761.

It is an arithmetic number, because the mean of its divisors is an integer number (29406687606).

Almost surely, 21110320113331 is an apocalyptic number.

1110320113331 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1110320113331 is a deficient number, since it is larger than the sum of its proper divisors (301200891757).

1110320113331 is a wasteful number, since it uses less digits than its factorization.

1110320113331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 576072 (or 576059 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 20.

Adding to 1110320113331 its reverse (1333110230111), we get a palindrome (2443430343442).

The spelling of 1110320113331 in words is "one trillion, one hundred ten billion, three hundred twenty million, one hundred thirteen thousand, three hundred thirty-one".

Divisors: 1 11 13 17 61 143 169 187 221 671 793 1037 1859 2431 2873 8723 10309 11407 13481 31603 113399 148291 175253 575957 1927783 6335527 7487441 9791269 35133377 82361851 97336733 107703959 127286497 386467147 456733901 597267409 1070704063 1400151467 1654724461 5024072911 5937540713 6569941499 7764476317 18201969071 65312947843 85409239487 100938192121 1110320113331