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11046500402130 = 23252931671336399
BaseRepresentation
bin1010000010111111011010…
…1110111000001111010010
31110010000221121100212011100
42200233312232320033102
52421441213100332010
635254405304325230
72220040402112664
oct240576656701722
943100847325140
1011046500402130
11357988154a316
1212a4a76773816
136218b01384bb
142a29211b0534
15142528bc12c0
hexa0bf6bb83d2

11046500402130 has 96 divisors (see below), whose sum is σ = 29720680704000. Its totient is φ = 2843256237696.

The previous prime is 11046500402111. The next prime is 11046500402131. The reversal of 11046500402130 is 3120400564011.

It is a happy number.

11046500402130 is a `hidden beast` number, since 1 + 1 + 0 + 4 + 650 + 0 + 4 + 0 + 2 + 1 + 3 + 0 = 666.

It is a super-2 number, since 2×110465004021302 (a number of 27 digits) contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 11046500402094 and 11046500402103.

It is not an unprimeable number, because it can be changed into a prime (11046500402131) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7597671 + ... + 8934069.

It is an arithmetic number, because the mean of its divisors is an integer number (309590424000).

Almost surely, 211046500402130 is an apocalyptic number.

11046500402130 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 11046500402130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14860340352000).

11046500402130 is an abundant number, since it is smaller than the sum of its proper divisors (18674180301870).

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

11046500402130 is a wasteful number, since it uses less digits than its factorization.

11046500402130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1339608 (or 1339605 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 11046500402130 its reverse (3120400564011), we get a palindrome (14166900966141).

The spelling of 11046500402130 in words is "eleven trillion, forty-six billion, five hundred million, four hundred two thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 29 30 45 58 87 90 145 174 261 290 435 522 870 1305 2610 3167 6334 9501 15835 19002 28503 31670 47505 57006 91843 95010 142515 183686 275529 285030 459215 551058 826587 918430 1336399 1377645 1653174 2672798 2755290 4009197 4132935 6681995 8018394 8265870 12027591 13363990 20045985 24055182 38755571 40091970 60137955 77511142 116266713 120275910 193777855 232533426 348800139 387555710 581333565 697600278 1162667130 1744000695 3488001390 4232375633 8464751266 12697126899 21161878165 25394253798 38091380697 42323756330 63485634495 76182761394 122738893357 126971268990 190456903485 245477786714 368216680071 380913806970 613694466785 736433360142 1104650040213 1227388933570 1841083400355 2209300080426 3682166800710 5523250201065 11046500402130