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1021342014 = 2337111714449
BaseRepresentation
bin111100111000000…
…111000100111110
32122011211112212000
4330320013010332
54042430421024
6245202523130
734211156340
oct7470070476
92564745760
101021342014
11484580410
122460664a6
131337a03b4
1499905290
155e9e9cc9
hex3ce0713e

1021342014 has 128 divisors (see below), whose sum is σ = 2996352000. Its totient is φ = 249661440.

The previous prime is 1021342013. The next prime is 1021342019. The reversal of 1021342014 is 4102431201.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1021342013) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 63462 + ... + 77910.

It is an arithmetic number, because the mean of its divisors is an integer number (23409000).

Almost surely, 21021342014 is an apocalyptic number.

1021342014 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1021342014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1498176000).

1021342014 is an abundant number, since it is smaller than the sum of its proper divisors (1975009986).

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

1021342014 is a wasteful number, since it uses less digits than its factorization.

1021342014 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14495 (or 14489 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 1021342014 is about 31958.4419833008. The cubic root of 1021342014 is about 1007.0639872533.

Adding to 1021342014 its reverse (4102431201), we get a palindrome (5123773215).

The spelling of 1021342014 in words is "one billion, twenty-one million, three hundred forty-two thousand, fourteen".

Divisors: 1 2 3 6 7 9 11 14 17 18 21 22 27 33 34 42 51 54 63 66 77 99 102 119 126 153 154 187 189 198 231 238 297 306 357 374 378 459 462 561 594 693 714 918 1071 1122 1309 1386 1683 2079 2142 2618 3213 3366 3927 4158 5049 6426 7854 10098 11781 14449 23562 28898 35343 43347 70686 86694 101143 130041 158939 202286 245633 260082 303429 317878 390123 476817 491266 606858 736899 780246 910287 953634 1112573 1430451 1473798 1719431 1820574 2210697 2225146 2701963 2730861 2860902 3337719 3438862 4291353 4421394 5158293 5403926 5461722 6632091 6675438 8105889 8582706 10013157 10316586 13264182 15474879 16211778 18913741 20026314 24317667 30039471 30949758 37827482 46424637 48635334 56741223 60078942 72953001 92849274 113482446 145906002 170223669 340447338 510671007 1021342014