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1031330022112 = 2513231051102559
BaseRepresentation
bin11110000001000000000…
…11110100001011100000
310122121001011101110012101
433000200003310023200
5113344130441201422
62105441513340144
7134340214355245
oct17004003641340
93577034343171
101031330022112
11368425a02255
12147a66407654
137633c07a970
1437cb93895cc
151bc62010c27
hexf0200f42e0

1031330022112 has 96 divisors (see below), whose sum is σ = 2283881564160. Its totient is φ = 454865241600.

The previous prime is 1031330022109. The next prime is 1031330022127. The reversal of 1031330022112 is 2112200331301.

It is a super-2 number, since 2×10313300221122 (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1031330022112.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10004689 + ... + 10107247.

It is an arithmetic number, because the mean of its divisors is an integer number (23790432960).

Almost surely, 21031330022112 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 1031330022112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1141940782080).

1031330022112 is an abundant number, since it is smaller than the sum of its proper divisors (1252551542048).

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

1031330022112 is a wasteful number, since it uses less digits than its factorization.

1031330022112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103656 (or 103648 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 1031330022112 its reverse (2112200331301), we get a palindrome (3143530353413).

The spelling of 1031330022112 in words is "one trillion, thirty-one billion, three hundred thirty million, twenty-two thousand, one hundred twelve".

Divisors: 1 2 4 8 13 16 23 26 32 46 52 92 104 184 208 299 368 416 598 736 1051 1196 2102 2392 4204 4784 8408 9568 13663 16816 24173 27326 33632 48346 54652 96692 102559 109304 193384 205118 218608 314249 386768 410236 437216 628498 773536 820472 1256996 1333267 1640944 2358857 2513992 2666534 3281888 4717714 5027984 5333068 9435428 10055968 10666136 18870856 21332272 30665141 37741712 42664544 61330282 75483424 107789509 122660564 215579018 245321128 431158036 490642256 862316072 981284512 1401263617 1724632144 2479158707 2802527234 3449264288 4958317414 5605054468 9916634828 11210108936 19833269656 22420217872 32229063191 39666539312 44840435744 64458126382 79333078624 128916252764 257832505528 515665011056 1031330022112