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1331030022 = 23735312203
BaseRepresentation
bin100111101010101…
…1110100000000110
310102202120022221020
41033111132200012
510211220430042
6340024332010
744661366000
oct11725364006
93382508836
101331030022
11623371613
12311914006
131829b0a3a
14c8abb370
157bcbe3ec
hex4f55e806

1331030022 has 64 divisors (see below), whose sum is σ = 3163276800. Its totient is φ = 373088352.

The previous prime is 1331030021. The next prime is 1331030053. The reversal of 1331030022 is 2200301331.

It is a junction number, because it is equal to n+sod(n) for n = 1331029983 and 1331030010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1331030021) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 102973 + ... + 115175.

It is an arithmetic number, because the mean of its divisors is an integer number (49426200).

Almost surely, 21331030022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1331030022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1581638400).

1331030022 is an abundant number, since it is smaller than the sum of its proper divisors (1832246778).

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

1331030022 is a wasteful number, since it uses less digits than its factorization.

1331030022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12282 (or 12268 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

The square root of 1331030022 is about 36483.2841449341. The cubic root of 1331030022 is about 1100.0082704612.

Adding to 1331030022 its reverse (2200301331), we get a palindrome (3531331353).

The spelling of 1331030022 in words is "one billion, three hundred thirty-one million, thirty thousand, twenty-two".

Divisors: 1 2 3 6 7 14 21 42 49 53 98 106 147 159 294 318 343 371 686 742 1029 1113 2058 2226 2597 5194 7791 12203 15582 18179 24406 36358 36609 54537 73218 85421 109074 170842 256263 512526 597947 646759 1195894 1293518 1793841 1940277 3587682 3880554 4185629 4527313 8371258 9054626 12556887 13581939 25113774 27163878 31691191 63382382 95073573 190147146 221838337 443676674 665515011 1331030022