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1014142122 = 2327229311279
BaseRepresentation
bin111100011100101…
…001010010101010
32121200021202110100
4330130221102222
54034110021442
6244344330230
734063031400
oct7434512252
92550252410
101014142122
11480502a94
12243773976
1313214c1c6
149898d470
155e07684c
hex3c7294aa

1014142122 has 144 divisors (see below), whose sum is σ = 2731622400. Its totient is φ = 270527040.

The previous prime is 1014142097. The next prime is 1014142177. The reversal of 1014142122 is 2212414101.

1014142122 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 2×10141421222 = 2056968487229325768, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 1014142095 and 1014142104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 792279 + ... + 793557.

It is an arithmetic number, because the mean of its divisors is an integer number (18969600).

Almost surely, 21014142122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1014142122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1365811200).

1014142122 is an abundant number, since it is smaller than the sum of its proper divisors (1717480278).

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

1014142122 is a wasteful number, since it uses less digits than its factorization.

1014142122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1361 (or 1351 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 1014142122 is about 31845.5981573592. The cubic root of 1014142122 is about 1004.6919914518.

Adding to 1014142122 its reverse (2212414101), we get a palindrome (3226556223).

The spelling of 1014142122 in words is "one billion, fourteen million, one hundred forty-two thousand, one hundred twenty-two".

Divisors: 1 2 3 6 7 9 14 18 21 29 31 42 49 58 62 63 87 93 98 126 147 174 186 203 217 261 279 294 406 434 441 522 558 609 651 882 899 1218 1279 1302 1421 1519 1798 1827 1953 2558 2697 2842 3038 3654 3837 3906 4263 4557 5394 6293 7674 8091 8526 8953 9114 11511 12586 12789 13671 16182 17906 18879 23022 25578 26859 27342 37091 37758 39649 44051 53718 56637 62671 74182 79298 80577 88102 111273 113274 118947 125342 132153 161154 188013 222546 237894 259637 264306 277543 333819 356841 376026 396459 519274 555086 564039 667638 713682 778911 792918 832629 1128078 1149821 1557822 1665258 1817459 1942801 2299642 2336733 2497887 3449463 3634918 3885602 4673466 4995774 5452377 5828403 6898926 8048747 10348389 10904754 11656806 16097494 16357131 17485209 20696778 24146241 32714262 34970418 48292482 56341229 72438723 112682458 144877446 169023687 338047374 507071061 1014142122