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11142110320 = 2451131634003
BaseRepresentation
bin10100110000001111…
…10001110001110000
31001202111211211221121
422120013301301300
5140304340012240
65041342032024
7543053242435
oct123007616160
931674754847
1011142110320
1147a8481440
1221ab578614
1310874c33b3
14779b03b8c
154532b104a
hex2981f1c70

11142110320 has 80 divisors (see below), whose sum is σ = 28276440192. Its totient is φ = 4049383680.

The previous prime is 11142110311. The next prime is 11142110327. The reversal of 11142110320 is 2301124111.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 11142110294 and 11142110303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11142110327) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2781439 + ... + 2785441.

Almost surely, 211142110320 is an apocalyptic number.

11142110320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11142110320 is an abundant number, since it is smaller than the sum of its proper divisors (17134329872).

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

11142110320 is a wasteful number, since it uses less digits than its factorization.

11142110320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7190 (or 7184 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 11142110320 its reverse (2301124111), we get a palindrome (13443234431).

The spelling of 11142110320 in words is "eleven billion, one hundred forty-two million, one hundred ten thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 220 440 880 3163 4003 6326 8006 12652 15815 16012 20015 25304 31630 32024 34793 40030 44033 50608 63260 64048 69586 80060 88066 126520 139172 160120 173965 176132 220165 253040 278344 320240 347930 352264 440330 556688 695860 704528 880660 1391720 1761320 2783440 3522640 12661489 25322978 50645956 63307445 101291912 126614890 139276379 202583824 253229780 278552758 506459560 557105516 696381895 1012919120 1114211032 1392763790 2228422064 2785527580 5571055160 11142110320