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1021330314 = 232377121599
BaseRepresentation
bin111100111000000…
…100001110001010
32122011210221210200
4330320010032022
54042430032224
6245202353030
734211110254
oct7470041612
92564727720
101021330314
11484572644
1224605b776
13133797c84
1499900cd4
155e9e65c9
hex3ce0438a

1021330314 has 48 divisors (see below), whose sum is σ = 2304806400. Its totient is φ = 326561760.

The previous prime is 1021330291. The next prime is 1021330319. The reversal of 1021330314 is 4130331201.

1021330314 is a `hidden beast` number, since 1 + 0 + 21 + 330 + 314 = 666.

It is a super-2 number, since 2×10213303142 = 2086231220590677192, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (1021330319) 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, 36487 + ... + 58085.

It is an arithmetic number, because the mean of its divisors is an integer number (48016800).

Almost surely, 21021330314 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1021330314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1152403200).

1021330314 is an abundant number, since it is smaller than the sum of its proper divisors (1283476086).

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

1021330314 is a wasteful number, since it uses less digits than its factorization.

1021330314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21715 (or 21712 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 1021330314 is about 31958.2589325514. The cubic root of 1021330314 is about 1007.0601417593.

Adding to 1021330314 its reverse (4130331201), we get a palindrome (5151661515).

The spelling of 1021330314 in words is "one billion, twenty-one million, three hundred thirty thousand, three hundred fourteen".

Divisors: 1 2 3 6 9 18 37 71 74 111 142 213 222 333 426 639 666 1278 2627 5254 7881 15762 21599 23643 43198 47286 64797 129594 194391 388782 799163 1533529 1598326 2397489 3067058 4600587 4794978 7192467 9201174 13801761 14384934 27603522 56740573 113481146 170221719 340443438 510665157 1021330314