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110401311130 = 25112892773701
BaseRepresentation
bin110011011010001101…
…1100101000110011010
3101112222001112200202021
41212310123211012122
53302100213424010
6122415003125054
710655563442515
oct1466433450632
9345861480667
10110401311130
1142903731100
121949121378a
13a5456aa206
1454b4609d7c
152d124698da
hex19b46e519a

110401311130 has 96 divisors (see below), whose sum is σ = 221741951760. Its totient is φ = 39540864000.

The previous prime is 110401311113. The next prime is 110401311191. The reversal of 110401311130 is 31113104011.

It can be written as a sum of positive squares in 8 ways, for example, as 10991635281 + 99409675849 = 104841^2 + 315293^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 29828280 + ... + 29831980.

Almost surely, 2110401311130 is an apocalyptic number.

110401311130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

110401311130 is an abundant number, since it is smaller than the sum of its proper divisors (111340640630).

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

110401311130 is a wasteful number, since it uses less digits than its factorization.

110401311130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4096 (or 4085 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 16.

Adding to 110401311130 its reverse (31113104011), we get a palindrome (141514415141).

The spelling of 110401311130 in words is "one hundred ten billion, four hundred one million, three hundred eleven thousand, one hundred thirty".

Divisors: 1 2 5 10 11 22 55 89 110 121 178 242 277 445 554 605 890 979 1210 1385 1958 2770 3047 3701 4895 6094 7402 9790 10769 15235 18505 21538 24653 30470 33517 37010 40711 49306 53845 67034 81422 107690 123265 167585 203555 246530 271183 329389 335170 407110 447821 542366 658778 895642 1025177 1355915 1646945 2050354 2239105 2711830 2983013 3293890 3623279 4478210 5125885 5966026 7246558 10251770 11276947 14915065 18116395 22553894 29830130 36232790 39856069 56384735 79712138 91240753 112769470 124046417 182481506 199280345 248092834 398560690 456203765 620232085 912407530 1003648283 1240464170 2007296566 5018241415 10036482830 11040131113 22080262226 55200655565 110401311130