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11430011200 = 265217420221
BaseRepresentation
bin10101010010100100…
…00010000101000000
31002111120120201201011
422221102002011000
5141402040324300
65130104450304
7553150330546
oct125122020500
932446521634
1011430011200
114935a41653
12226ba79994
13110204604a
147a6047d96
1546d6ceeba
hex2a9482140

11430011200 has 84 divisors (see below), whose sum is σ = 29779452252. Its totient is φ = 4303052800.

The previous prime is 11430011191. The next prime is 11430011221. The reversal of 11430011200 is 211003411.

It can be written as a sum of positive squares in 6 ways, for example, as 736796736 + 10693214464 = 27144^2 + 103408^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 182911 + ... + 237310.

Almost surely, 211430011200 is an apocalyptic number.

11430011200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11430011200 is an abundant number, since it is smaller than the sum of its proper divisors (18349441052).

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

11430011200 is a wasteful number, since it uses less digits than its factorization.

11430011200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 420260 (or 420245 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 11430011200 its reverse (211003411), we get a palindrome (11641014611).

The spelling of 11430011200 in words is "eleven billion, four hundred thirty million, eleven thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 17 20 25 32 34 40 50 64 68 80 85 100 136 160 170 200 272 320 340 400 425 544 680 800 850 1088 1360 1600 1700 2720 3400 5440 6800 13600 27200 420221 840442 1680884 2101105 3361768 4202210 6723536 7143757 8404420 10505525 13447072 14287514 16808840 21011050 26894144 28575028 33617680 35718785 42022100 57150056 67235360 71437570 84044200 114300112 134470720 142875140 168088400 178593925 228600224 285750280 336176800 357187850 457200448 571500560 672353600 714375700 1143001120 1428751400 2286002240 2857502800 5715005600 11430011200