Search a number
-
+
11343421700 = 22521317513277
BaseRepresentation
bin10101001000001111…
…01110000100000100
31002021112122112020122
422210013232010010
5141212403443300
65113332521112
7551046331202
oct124407560404
932245575218
1011343421700
1148a107a686
122246a80198
1310ba119560
14798748072
15465cc8c85
hex2a41ee104

11343421700 has 72 divisors (see below), whose sum is σ = 28068094152. Its totient is φ = 3941959680.

The previous prime is 11343421693. The next prime is 11343421741. The reversal of 11343421700 is 712434311.

It can be written as a sum of positive squares in 12 ways, for example, as 818303236 + 10525118464 = 28606^2 + 102592^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 11343421700.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 234539 + ... + 278738.

It is an arithmetic number, because the mean of its divisors is an integer number (389834641).

Almost surely, 211343421700 is an apocalyptic number.

11343421700 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11343421700 is an abundant number, since it is smaller than the sum of its proper divisors (16724672452).

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

11343421700 is a wasteful number, since it uses less digits than its factorization.

11343421700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 513321 (or 513314 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 26.

The spelling of 11343421700 in words is "eleven billion, three hundred forty-three million, four hundred twenty-one thousand, seven hundred".

Divisors: 1 2 4 5 10 13 17 20 25 26 34 50 52 65 68 85 100 130 170 221 260 325 340 425 442 650 850 884 1105 1300 1700 2210 4420 5525 11050 22100 513277 1026554 2053108 2566385 5132770 6672601 8725709 10265540 12831925 13345202 17451418 25663850 26690404 33363005 34902836 43628545 51327700 66726010 87257090 113434217 133452020 166815025 174514180 218142725 226868434 333630050 436285450 453736868 567171085 667260100 872570900 1134342170 2268684340 2835855425 5671710850 11343421700