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1331968110 = 235119741611
BaseRepresentation
bin100111101100100…
…0011100001101110
310102211022222202020
41033121003201232
510211440434420
6340100411010
745002353644
oct11731034156
93384288666
101331968110
116239523a0
123120a6a66
13182c4ba15
14c8c83194
157be07340
hex4f64386e

1331968110 has 64 divisors (see below), whose sum is σ = 3523371264. Its totient is φ = 319564800.

The previous prime is 1331968091. The next prime is 1331968133. The reversal of 1331968110 is 118691331.

It is a happy number.

1331968110 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11205 + ... + 52815.

It is an arithmetic number, because the mean of its divisors is an integer number (55052676).

Almost surely, 21331968110 is an apocalyptic number.

1331968110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1331968110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1761685632).

1331968110 is an abundant number, since it is smaller than the sum of its proper divisors (2191403154).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1331968110 is a wasteful number, since it uses less digits than its factorization.

1331968110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41729.

The product of its (nonzero) digits is 3888, while the sum is 33.

The square root of 1331968110 is about 36496.1382888656. The cubic root of 1331968110 is about 1100.2666323347.

The spelling of 1331968110 in words is "one billion, three hundred thirty-one million, nine hundred sixty-eight thousand, one hundred ten".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 97 110 165 194 291 330 485 582 970 1067 1455 2134 2910 3201 5335 6402 10670 16005 32010 41611 83222 124833 208055 249666 416110 457721 624165 915442 1248330 1373163 2288605 2746326 4036267 4577210 6865815 8072534 12108801 13731630 20181335 24217602 40362670 44398937 60544005 88797874 121088010 133196811 221994685 266393622 443989370 665984055 1331968110