Search a number
-
+
11034140310 = 2325313954889
BaseRepresentation
bin10100100011010111…
…11001111010010110
31001110222200101221100
422101223321322112
5140044214442220
65022523530530
7540302434164
oct122153717226
931428611840
1011034140310
114752536a26
12217b389a46
13106b01c00b
1476963a234
15448a84d90
hex291af9e96

11034140310 has 48 divisors (see below), whose sum is σ = 29614216320. Its totient is φ = 2847519360.

The previous prime is 11034140297. The next prime is 11034140323. The reversal of 11034140310 is 1304143011.

11034140310 is a `hidden beast` number, since 1 + 10 + 341 + 4 + 0 + 310 = 666.

It is an interprime number because it is at equal distance from previous prime (11034140297) and next prime (11034140323).

It is a super-2 number, since 2×110341403102 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 1974655 + ... + 1980234.

It is an arithmetic number, because the mean of its divisors is an integer number (616962840).

Almost surely, 211034140310 is an apocalyptic number.

11034140310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

11034140310 is an abundant number, since it is smaller than the sum of its proper divisors (18580076010).

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

11034140310 is a wasteful number, since it uses less digits than its factorization.

11034140310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3954933 (or 3954930 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 11034140310 its reverse (1304143011), we get a palindrome (12338283321).

The spelling of 11034140310 in words is "eleven billion, thirty-four million, one hundred forty thousand, three hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 31 45 62 90 93 155 186 279 310 465 558 930 1395 2790 3954889 7909778 11864667 19774445 23729334 35594001 39548890 59323335 71188002 118646670 122601559 177970005 245203118 355940010 367804677 613007795 735609354 1103414031 1226015590 1839023385 2206828062 3678046770 5517070155 11034140310