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11341221400 = 235229267427
BaseRepresentation
bin10101000111111110…
…10100111000011000
31002021101111202000001
422203333110320120
5141211323041100
65113213422344
7551021535265
oct124377247030
932241452001
1011341221400
11489a907553
12224619a9b4
1310b9828bc2
1479833426c
154659e1d6a
hex2a3fd4e18

11341221400 has 72 divisors (see below), whose sum is σ = 27309351420. Its totient is φ = 4379992960.

The previous prime is 11341221349. The next prime is 11341221449. The reversal of 11341221400 is 412214311.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 134487 + ... + 201913.

Almost surely, 211341221400 is an apocalyptic number.

11341221400 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 11341221400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13654675710).

11341221400 is an abundant number, since it is smaller than the sum of its proper divisors (15968130020).

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

11341221400 is a wasteful number, since it uses less digits than its factorization.

11341221400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67501 (or 67463 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

Adding to 11341221400 its reverse (412214311), we get a palindrome (11753435711).

The spelling of 11341221400 in words is "eleven billion, three hundred forty-one million, two hundred twenty-one thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 29 40 50 58 100 116 145 200 232 290 580 725 841 1160 1450 1682 2900 3364 4205 5800 6728 8410 16820 21025 33640 42050 67427 84100 134854 168200 269708 337135 539416 674270 1348540 1685675 1955383 2697080 3371350 3910766 6742700 7821532 9776915 13485400 15643064 19553830 39107660 48884575 56706107 78215320 97769150 113412214 195538300 226824428 283530535 391076600 453648856 567061070 1134122140 1417652675 2268244280 2835305350 5670610700 11341221400