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1102966249284 = 2232113215492
BaseRepresentation
bin10000000011001101111…
…010010101011101000100
310220102221121120211210100
4100003031322111131010
5121032333324434114
62202410134324100
7142454350300434
oct20031572253504
93812847524710
101102966249284
11395846769a89
121599191b9630
13800174a3573
143b5534062c4
151da560c9909
hex100cde95744

1102966249284 has 81 divisors (see below), whose sum is σ = 2814762107703. Its totient is φ = 364166578944.

The previous prime is 1102966249271. The next prime is 1102966249309. The reversal of 1102966249284 is 4829426692011.

The square root of 1102966249284 is 1050222.

It is a perfect power (a square), and thus also a powerful number.

1102966249284 is a `hidden beast` number, since 1 + 1 + 0 + 2 + 9 + 6 + 624 + 9 + 2 + 8 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 586189296900 + 516776952384 = 765630^2 + 718872^2 .

It is a super-2 number, since 2×11029662492842 (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 1102966249284.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 712049742 + ... + 712051290.

Almost surely, 21102966249284 is an apocalyptic number.

1102966249284 is the 1050222-nd square number.

It is an amenable number.

1102966249284 is an abundant number, since it is smaller than the sum of its proper divisors (1711795858419).

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

1102966249284 is an equidigital number, since it uses as much as digits as its factorization.

1102966249284 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3334 (or 1667 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The spelling of 1102966249284 in words is "one trillion, one hundred two billion, nine hundred sixty-six million, two hundred forty-nine thousand, two hundred eighty-four".

Divisors: 1 2 3 4 6 9 12 18 36 113 226 339 452 678 1017 1356 1549 2034 3098 4068 4647 6196 9294 12769 13941 18588 25538 27882 38307 51076 55764 76614 114921 153228 175037 229842 350074 459684 525111 700148 1050222 1575333 2100444 2399401 3150666 4798802 6301332 7198203 9597604 14396406 19779181 21594609 28792812 39558362 43189218 59337543 79116724 86378436 118675086 178012629 237350172 271132313 356025258 542264626 712050516 813396939 1084529252 1626793878 2440190817 3253587756 4880381634 9760763268 30637951369 61275902738 91913854107 122551805476 183827708214 275741562321 367655416428 551483124642 1102966249284