Search a number
-
+
1122331133200 = 24523448781359
BaseRepresentation
bin10000010101010000001…
…001100000010100010000
310222021221012000212120011
4100111100021200110100
5121342013232230300
62215331455124304
7144041261141104
oct20252011402420
93867835025504
101122331133200
113a2a83735982
12161622513694
1381ab2408a64
143c46d203904
151e2db1dceba
hex10550260510

1122331133200 has 60 divisors (see below), whose sum is σ = 2696511876480. Its totient is φ = 448913918080.

The previous prime is 1122331133173. The next prime is 1122331133221. The reversal of 1122331133200 is 23311332211.

It is a super-2 number, since 2×11223311332002 (a number of 25 digits) contains 22 as substring.

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, 13754121 + ... + 13835479.

It is an arithmetic number, because the mean of its divisors is an integer number (44941864608).

Almost surely, 21122331133200 is an apocalyptic number.

1122331133200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1122331133200 is an abundant number, since it is smaller than the sum of its proper divisors (1574180743280).

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

1122331133200 is a wasteful number, since it uses less digits than its factorization.

1122331133200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115864 (or 115853 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 22.

Adding to 1122331133200 its reverse (23311332211), we get a palindrome (1145642465411).

The spelling of 1122331133200 in words is "one trillion, one hundred twenty-two billion, three hundred thirty-one million, one hundred thirty-three thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 34487 68974 81359 137948 162718 172435 275896 325436 344870 406795 551792 650872 689740 813590 862175 1301744 1379480 1627180 1724350 2033975 2758960 3254360 3448700 4067950 6508720 6897400 8135900 13794800 16271800 32543600 2805827833 5611655666 11223311332 14029139165 22446622664 28058278330 44893245328 56116556660 70145695825 112233113320 140291391650 224466226640 280582783300 561165566600 1122331133200