Search a number
-
+
1112100200 = 235231181991
BaseRepresentation
bin100001001001001…
…0100110101101000
32212111121112200022
41002102110311220
54234144201300
6302204100012
736362460431
oct10222246550
92774545608
101112100200
1152082a382
12270534608
13149529473
14a79ac488
1567976285
hex42494d68

1112100200 has 96 divisors (see below), whose sum is σ = 2686494720. Its totient is φ = 427680000.

The previous prime is 1112100181. The next prime is 1112100251. The reversal of 1112100200 is 20012111.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1121705 + ... + 1122695.

It is an arithmetic number, because the mean of its divisors is an integer number (27984320).

Almost surely, 21112100200 is an apocalyptic number.

1112100200 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 1112100200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1343247360).

1112100200 is an abundant number, since it is smaller than the sum of its proper divisors (1574394520).

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

1112100200 is a wasteful number, since it uses less digits than its factorization.

1112100200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1219 (or 1210 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

The square root of 1112100200 is about 33348.1663663836. The cubic root of 1112100200 is about 1036.0514104172.

Adding to 1112100200 its reverse (20012111), we get a palindrome (1132112311).

The spelling of 1112100200 in words is "one billion, one hundred twelve million, one hundred thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 31 40 50 62 100 124 155 181 200 248 310 362 620 724 775 905 991 1240 1448 1550 1810 1982 3100 3620 3964 4525 4955 5611 6200 7240 7928 9050 9910 11222 18100 19820 22444 24775 28055 30721 36200 39640 44888 49550 56110 61442 99100 112220 122884 140275 153605 179371 198200 224440 245768 280550 307210 358742 561100 614420 717484 768025 896855 1122200 1228840 1434968 1536050 1793710 3072100 3587420 4484275 5560501 6144200 7174840 8968550 11121002 17937100 22242004 27802505 35874200 44484008 55605010 111210020 139012525 222420040 278025050 556050100 1112100200