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11242342300 = 2252765924371
BaseRepresentation
bin10100111100001100…
…01000011110011100
31002000111110011101011
422132012020132130
5141011014423200
65055322225004
7545411222110
oct123606103634
932014404334
1011242342300
11484a011192
122219055164
1310a21b8667
14789155740
1545beae5ba
hex29e18879c

11242342300 has 72 divisors (see below), whose sum is σ = 27924462720. Its totient is φ = 3848510400.

The previous prime is 11242342283. The next prime is 11242342337. The reversal of 11242342300 is 324324211.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 449115 + ... + 473485.

It is an arithmetic number, because the mean of its divisors is an integer number (387839760).

Almost surely, 211242342300 is an apocalyptic number.

11242342300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11242342300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13962231360).

11242342300 is an abundant number, since it is smaller than the sum of its proper divisors (16682120420).

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

11242342300 is a wasteful number, since it uses less digits than its factorization.

11242342300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25051 (or 25044 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 11242342300 its reverse (324324211), we get a palindrome (11566666511).

The spelling of 11242342300 in words is "eleven billion, two hundred forty-two million, three hundred forty-two thousand, three hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 140 175 350 659 700 1318 2636 3295 4613 6590 9226 13180 16475 18452 23065 24371 32950 46130 48742 65900 92260 97484 115325 121855 170597 230650 243710 341194 461300 487420 609275 682388 852985 1218550 1705970 2437100 3411940 4264925 8529850 16060489 17059700 32120978 64241956 80302445 112423423 160604890 224846846 321209780 401512225 449693692 562117115 803024450 1124234230 1606048900 2248468460 2810585575 5621171150 11242342300