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1021340012 = 2271131412609
BaseRepresentation
bin111100111000000…
…110100101101100
32122011211110002212
4330320012211230
54042430340022
6245202505552
734211150450
oct7470064554
92564743085
101021340012
11484579960
122460652b8
1313379c504
1499904660
155e9e93e2
hex3ce0696c

1021340012 has 96 divisors (see below), whose sum is σ = 2357268480. Its totient is φ = 375552000.

The previous prime is 1021339997. The next prime is 1021340017. The reversal of 1021340012 is 2100431201.

1021340012 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10213400122 = 2086270840224320288, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is not an unprimeable number, because it can be changed into a prime (1021340017) 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, 390164 + ... + 392772.

It is an arithmetic number, because the mean of its divisors is an integer number (24554880).

Almost surely, 21021340012 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1021340012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1178634240).

1021340012 is an abundant number, since it is smaller than the sum of its proper divisors (1335928468).

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

1021340012 is a wasteful number, since it uses less digits than its factorization.

1021340012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2703 (or 2701 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 1021340012 is about 31958.4106613580. The cubic root of 1021340012 is about 1007.0633292486.

Adding to 1021340012 its reverse (2100431201), we get a palindrome (3121771213).

The spelling of 1021340012 in words is "one billion, twenty-one million, three hundred forty thousand, twelve".

Divisors: 1 2 4 7 11 14 22 28 31 41 44 62 77 82 124 154 164 217 287 308 341 434 451 574 682 868 902 1148 1271 1364 1804 2387 2542 2609 3157 4774 5084 5218 6314 8897 9548 10436 12628 13981 17794 18263 27962 28699 35588 36526 55924 57398 73052 80879 97867 106969 114796 161758 195734 200893 213938 323516 391468 401786 427876 566153 748783 803572 889669 1132306 1176659 1497566 1779338 2264612 2353318 2995132 3316039 3558676 4706636 6227683 6632078 8236613 12455366 13264156 16473226 23212273 24910732 32946452 36476429 46424546 72952858 92849092 145905716 255335003 510670006 1021340012