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11342320400 = 245237766373
BaseRepresentation
bin10101001000000111…
…00001001100010000
31002021110120120112202
422210003201030100
5141212113223100
65113253142332
7551034063335
oct124403411420
932243516482
1011342320400
1148a0498214
12224662a9a8
1310b9b221b8
1479853c98c
15465b5c7d5
hex2a40e1310

11342320400 has 60 divisors (see below), whose sum is σ = 27986445732. Its totient is φ = 4414302720.

The previous prime is 11342320397. The next prime is 11342320411. The reversal of 11342320400 is 402324311.

It can be written as a sum of positive squares in 6 ways, for example, as 6885376 + 11335435024 = 2624^2 + 106468^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 368387 + ... + 397986.

Almost surely, 211342320400 is an apocalyptic number.

11342320400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11342320400 is an abundant number, since it is smaller than the sum of its proper divisors (16644125332).

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

11342320400 is a wasteful number, since it uses less digits than its factorization.

11342320400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 766428 (or 766417 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 11342320400 its reverse (402324311), we get a palindrome (11744644711).

The spelling of 11342320400 in words is "eleven billion, three hundred forty-two million, three hundred twenty thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 37 40 50 74 80 100 148 185 200 296 370 400 592 740 925 1480 1850 2960 3700 7400 14800 766373 1532746 3065492 3831865 6130984 7663730 12261968 15327460 19159325 28355801 30654920 38318650 56711602 61309840 76637300 113423204 141779005 153274600 226846408 283558010 306549200 453692816 567116020 708895025 1134232040 1417790050 2268464080 2835580100 5671160200 11342320400