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331221223000019 = 11279255713551113
BaseRepresentation
bin100101101001111100111001…
…1010101101100011111010011
31121102202102212112011120012102
41023103321303111230133103
5321403212031042000034
63132240532414351015
7126523641451330052
oct11323716325543723
91542672775146172
10331221223000019
11965a014a511700
1231194a854bb46b
13112a8047cc1931
145bb129abcc399
152845c5661e97e
hex12d3e7356c7d3

331221223000019 has 24 divisors (see below), whose sum is σ = 368822295871680. Its totient is φ = 297182390693760.

The previous prime is 331221222999971. The next prime is 331221223000043. The reversal of 331221223000019 is 910000322122133.

It is a de Polignac number, because none of the positive numbers 2k-331221223000019 is a prime.

It is a super-2 number, since 2×3312212230000192 (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 331221222999955 and 331221223000000.

It is not an unprimeable number, because it can be changed into a prime (331221223080019) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17666807 + ... + 31217919.

It is an arithmetic number, because the mean of its divisors is an integer number (15367595661320).

Almost surely, 2331221223000019 is an apocalyptic number.

331221223000019 is a deficient number, since it is larger than the sum of its proper divisors (37601072871661).

331221223000019 is a wasteful number, since it uses less digits than its factorization.

331221223000019 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13553771 (or 13553760 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 29.

The spelling of 331221223000019 in words is "three hundred thirty-one trillion, two hundred twenty-one billion, two hundred twenty-three million, nineteen", and thus it is an aban number.

Divisors: 1 11 79 121 869 2557 9559 28127 202003 309397 2222033 13551113 24442363 149062243 1070537927 1639684673 11775917197 34650195941 129535089167 381152155351 2737365479339 4192673708861 30111020272729 331221223000019