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1131022441100 = 2252191721345889
BaseRepresentation
bin10000011101010110001…
…100001101101010001100
311000010100220021001121202
4100131112030031222030
5122012313221103400
62223330132045032
7144466535061146
oct20352614155214
94003326231552
101131022441100
113a6733756172
12163249163778
1382868c36ab6
143ca55621c96
151e6492404d5
hex1075630da8c

1131022441100 has 72 divisors (see below), whose sum is σ = 2585001997200. Its totient is φ = 428347699200.

The previous prime is 1131022441069. The next prime is 1131022441103. The reversal of 1131022441100 is 11442201311.

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

It is not an unprimeable number, because it can be changed into a prime (1131022441103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3096956 + ... + 3442844.

Almost surely, 21131022441100 is an apocalyptic number.

1131022441100 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 1131022441100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1292500998600).

1131022441100 is an abundant number, since it is smaller than the sum of its proper divisors (1453979556100).

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

1131022441100 is a wasteful number, since it uses less digits than its factorization.

1131022441100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 347643 (or 347636 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

Adding to 1131022441100 its reverse (11442201311), we get a palindrome (1142464642411).

The spelling of 1131022441100 in words is "one trillion, one hundred thirty-one billion, twenty-two million, four hundred forty-one thousand, one hundred".

Divisors: 1 2 4 5 10 19 20 25 38 50 76 95 100 190 380 475 950 1721 1900 3442 6884 8605 17210 32699 34420 43025 65398 86050 130796 163495 172100 326990 345889 653980 691778 817475 1383556 1634950 1729445 3269900 3458890 6571891 6917780 8647225 13143782 17294450 26287564 32859455 34588900 65718910 131437820 164297275 328594550 595274969 657189100 1190549938 2381099876 2976374845 5952749690 11310224411 11905499380 14881874225 22620448822 29763748450 45240897644 56551122055 59527496900 113102244110 226204488220 282755610275 565511220550 1131022441100