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11130054300510 = 2352321813874733
BaseRepresentation
bin1010000111110110101011…
…1011101101001101011110
31110102000121121202200020020
42201331222323231031132
52424323322400104020
635401024254333010
72226056056406235
oct241755273551536
943360547680206
1011130054300510
1136012585468a2
1212b90b47ba166
1362973762b562
142a69a9d37b1c
151447b9196c40
hexa1f6aeed35e

11130054300510 has 96 divisors (see below), whose sum is σ = 28078306427808. Its totient is φ = 2823284724480.

The previous prime is 11130054300493. The next prime is 11130054300527. The reversal of 11130054300510 is 1500345003111.

It is an interprime number because it is at equal distance from previous prime (11130054300493) and next prime (11130054300527).

It is a super-2 number, since 2×111300543005102 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 935104 + ... + 4809836.

It is an arithmetic number, because the mean of its divisors is an integer number (292482358623).

Almost surely, 211130054300510 is an apocalyptic number.

11130054300510 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11130054300510, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14039153213904).

11130054300510 is an abundant number, since it is smaller than the sum of its proper divisors (16948252127298).

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

11130054300510 is a wasteful number, since it uses less digits than its factorization.

11130054300510 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3874970 (or 3874947 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 24.

Adding to 11130054300510 its reverse (1500345003111), we get a palindrome (12630399303621).

The spelling of 11130054300510 in words is "eleven trillion, one hundred thirty billion, fifty-four million, three hundred thousand, five hundred ten".

Divisors: 1 2 3 5 6 10 15 23 30 46 69 115 138 181 230 345 362 529 543 690 905 1058 1086 1587 1810 2645 2715 3174 4163 5290 5430 7935 8326 12489 15870 20815 24978 41630 62445 95749 124890 191498 287247 478745 574494 957490 1436235 2872470 3874733 7749466 11624199 19373665 23248398 38747330 58120995 89118859 116241990 178237718 267356577 445594295 534713154 701326673 891188590 1336782885 1402653346 2049733757 2103980019 2673565770 3506633365 4099467514 4207960038 6149201271 7013266730 10248668785 10519900095 12298402542 16130513479 20497337570 21039800190 30746006355 32261026958 48391540437 61492012710 80652567395 96783080874 161305134790 241957702185 371001810017 483915404370 742003620034 1113005430051 1855009050085 2226010860102 3710018100170 5565027150255 11130054300510