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1045313412 = 22311132112887
BaseRepresentation
bin111110010011100…
…011011110000100
32200211221102102120
4332103203132010
54120100012122
6251420405540
734622005653
oct7623433604
92624842376
101045313412
11497063490
122520a68b0
13138744360
149cb8519a
1561b8275c
hex3e4e3784

1045313412 has 96 divisors (see below), whose sum is σ = 2880052224. Its totient is φ = 290908800.

The previous prime is 1045313411. The next prime is 1045313413. The reversal of 1045313412 is 2143135401.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1045313411) and next prime (1045313413).

It is not an unprimeable number, because it can be changed into a prime (1045313411) 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, 360633 + ... + 363519.

It is an arithmetic number, because the mean of its divisors is an integer number (30000544).

Almost surely, 21045313412 is an apocalyptic number.

1045313412 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1045313412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1440026112).

1045313412 is an abundant number, since it is smaller than the sum of its proper divisors (1834738812).

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

1045313412 is a wasteful number, since it uses less digits than its factorization.

1045313412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3129 (or 3127 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 1045313412 is about 32331.3069949237. The cubic root of 1045313412 is about 1014.8819010514.

Adding to 1045313412 its reverse (2143135401), we get a palindrome (3188448813).

The spelling of 1045313412 in words is "one billion, forty-five million, three hundred thirteen thousand, four hundred twelve".

Divisors: 1 2 3 4 6 11 12 13 22 26 33 39 44 52 66 78 132 143 156 211 286 422 429 572 633 844 858 1266 1716 2321 2532 2743 2887 4642 5486 5774 6963 8229 8661 9284 10972 11548 13926 16458 17322 27852 30173 31757 32916 34644 37531 60346 63514 75062 90519 95271 112593 120692 127028 150124 181038 190542 225186 362076 381084 412841 450372 609157 825682 1218314 1238523 1651364 1827471 2436628 2477046 3654942 4954092 6700727 7309884 7919041 13401454 15838082 20102181 23757123 26802908 31676164 40204362 47514246 80408724 87109451 95028492 174218902 261328353 348437804 522656706 1045313412