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11340310100 = 2252722314349
BaseRepresentation
bin10101000111110111…
…10110011001010100
31002021022210102221012
422203323312121110
5141211104410400
65113142111352
7551011021400
oct124373663124
932238712835
1011340310100
11489a344909
122245a1b558
1310b959a182
14798178100
154658b1d35
hex2a3ef6654

11340310100 has 54 divisors (see below), whose sum is σ = 28626195150. Its totient is φ = 3888104640.

The previous prime is 11340310097. The next prime is 11340310141. The reversal of 11340310100 is 101304311.

It can be written as a sum of positive squares in 3 ways, for example, as 2060070544 + 9280239556 = 45388^2 + 96334^2 .

It is a Harshad number since it is a multiple of its sum of digits (14).

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 17 ways as a sum of consecutive naturals, for example, 1152275 + ... + 1162074.

It is an arithmetic number, because the mean of its divisors is an integer number (530114725).

Almost surely, 211340310100 is an apocalyptic number.

11340310100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11340310100 is an abundant number, since it is smaller than the sum of its proper divisors (17285885050).

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

11340310100 is a wasteful number, since it uses less digits than its factorization.

11340310100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2314377 (or 2314363 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 11340310100 its reverse (101304311), we get a palindrome (11441614411).

The spelling of 11340310100 in words is "eleven billion, three hundred forty million, three hundred ten thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 49 50 70 98 100 140 175 196 245 350 490 700 980 1225 2450 4900 2314349 4628698 9257396 11571745 16200443 23143490 32400886 46286980 57858725 64801772 81002215 113403101 115717450 162004430 226806202 231434900 324008860 405011075 453612404 567015505 810022150 1134031010 1620044300 2268062020 2835077525 5670155050 11340310100