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1120222210032 = 243238812004463
BaseRepresentation
bin10000010011010010011…
…100100110011111110000
310222002111012201110211200
4100103102130212133300
5121323203341210112
62214342321411200
7143635102451052
oct20232234463760
93862435643750
101120222210032
113a20a1262772
12161134199b00
1381837515523
143c30d0b38d2
151e215eb1cdc
hex104d27267f0

1120222210032 has 60 divisors (see below), whose sum is σ = 3135875686944. Its totient is φ = 373311002880.

The previous prime is 1120222210027. The next prime is 1120222210049. The reversal of 1120222210032 is 2300122220211.

It is a super-3 number, since 3×11202222100323 (a number of 37 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1120222209987 and 1120222210014.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 443368 + ... + 1561095.

Almost surely, 21120222210032 is an apocalyptic number.

1120222210032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1120222210032 is an abundant number, since it is smaller than the sum of its proper divisors (2015653476912).

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

1120222210032 is a wasteful number, since it uses less digits than its factorization.

1120222210032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2008358 (or 2008349 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 1120222210032 its reverse (2300122220211), we get a palindrome (3420344430243).

The spelling of 1120222210032 in words is "one trillion, one hundred twenty billion, two hundred twenty-two million, two hundred ten thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 3881 7762 11643 15524 23286 31048 34929 46572 62096 69858 93144 139716 186288 279432 558864 2004463 4008926 6013389 8017852 12026778 16035704 18040167 24053556 32071408 36080334 48107112 72160668 96214224 144321336 288642672 7779320903 15558641806 23337962709 31117283612 46675925418 62234567224 70013888127 93351850836 124469134448 140027776254 186703701672 280055552508 373407403344 560111105016 1120222210032