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1130422221200 = 24524576183929
BaseRepresentation
bin10000011100110010011…
…010100011100110010000
311000001211001211201201002
4100130302122203212100
5122010101042034300
62223150411201132
7144445626224666
oct20346232434620
94001731751632
101130422221200
113a6455968068
121631001461a8
13827a17920ac
143c9d9a1cc36
151e6116cc5d5
hex107326a3990

1130422221200 has 60 divisors (see below), whose sum is σ = 2721782582340. Its totient is φ = 451179386880.

The previous prime is 1130422221179. The next prime is 1130422221283. The reversal of 1130422221200 is 21222240311.

It can be written as a sum of positive squares in 6 ways, for example, as 145310390416 + 985111830784 = 381196^2 + 992528^2 .

It is a super-3 number, since 3×11304222212003 (a number of 37 digits) contains 333 as substring.

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 (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2909165 + ... + 3274764.

It is an arithmetic number, because the mean of its divisors is an integer number (45363043039).

Almost surely, 21130422221200 is an apocalyptic number.

1130422221200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1130422221200 is an abundant number, since it is smaller than the sum of its proper divisors (1591360361140).

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

1130422221200 is a wasteful number, since it uses less digits than its factorization.

1130422221200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6184404 (or 6184393 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 1130422221200 its reverse (21222240311), we get a palindrome (1151644461511).

The spelling of 1130422221200 in words is "one trillion, one hundred thirty billion, four hundred twenty-two million, two hundred twenty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 457 914 1828 2285 3656 4570 7312 9140 11425 18280 22850 36560 45700 91400 182800 6183929 12367858 24735716 30919645 49471432 61839290 98942864 123678580 154598225 247357160 309196450 494714320 618392900 1236785800 2473571600 2826055553 5652111106 11304222212 14130277765 22608444424 28260555530 45216888848 56521111060 70651388825 113042222120 141302777650 226084444240 282605555300 565211110600 1130422221200