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331121219 = 112131811163
BaseRepresentation
bin10011101111001…
…000001001000011
3212002001200220212
4103233020021003
51134231334334
652505024335
711130324662
oct2357101103
9762050825
10331121219
1115aa00300
1292a850ab
13537a6220
1431d94dd9
151e109ece
hex13bc8243

331121219 has 24 divisors (see below), whose sum is σ = 394460976. Its totient is φ = 276091200.

The previous prime is 331121143. The next prime is 331121221. The reversal of 331121219 is 912121133.

It is not a de Polignac number, because 331121219 - 220 = 330072643 is a prime.

It is a super-2 number, since 2×3311212192 = 219282523344091922, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 331121194 and 331121203.

It is not an unprimeable number, because it can be changed into a prime (331121239) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 284132 + ... + 285294.

It is an arithmetic number, because the mean of its divisors is an integer number (16435874).

Almost surely, 2331121219 is an apocalyptic number.

331121219 is a deficient number, since it is larger than the sum of its proper divisors (63339757).

331121219 is a wasteful number, since it uses less digits than its factorization.

331121219 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1379 (or 1368 counting only the distinct ones).

The product of its digits is 324, while the sum is 23.

The square root of 331121219 is about 18196.7364931188. The cubic root of 331121219 is about 691.8240744440.

The spelling of 331121219 in words is "three hundred thirty-one million, one hundred twenty-one thousand, two hundred nineteen".

Divisors: 1 11 13 121 143 181 1163 1573 1991 2353 12793 15119 21901 25883 140723 166309 210503 284713 1829399 2315533 2736539 25470863 30101929 331121219