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1122130200 = 2335210118517
BaseRepresentation
bin100001011100010…
…0101100100011000
32220012111010020210
41002320211210120
54244231131300
6303203051120
736543643422
oct10270454430
92805433223
101122130200
11526460034
12273970aa0
1314b62b889
14a905d812
15687a8050
hex42e25918

1122130200 has 96 divisors (see below), whose sum is σ = 3513234960. Its totient is φ = 296256000.

The previous prime is 1122130199. The next prime is 1122130201. The reversal of 1122130200 is 20312211.

It is an interprime number because it is at equal distance from previous prime (1122130199) and next prime (1122130201).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1122130201) 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, 51342 + ... + 69858.

Almost surely, 21122130200 is an apocalyptic number.

1122130200 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 1122130200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1756617480).

1122130200 is an abundant number, since it is smaller than the sum of its proper divisors (2391104760).

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

1122130200 is a wasteful number, since it uses less digits than its factorization.

1122130200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18637 (or 18628 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 1122130200 is about 33498.2118925772. The cubic root of 1122130200 is about 1039.1567992846.

Adding to 1122130200 its reverse (20312211), we get a palindrome (1142442411).

It can be divided in two parts, 112 and 2130200, that added together give a palindrome (2130312).

The spelling of 1122130200 in words is "one billion, one hundred twenty-two million, one hundred thirty thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 101 120 150 200 202 300 303 404 505 600 606 808 1010 1212 1515 2020 2424 2525 3030 4040 5050 6060 7575 10100 12120 15150 18517 20200 30300 37034 55551 60600 74068 92585 111102 148136 185170 222204 277755 370340 444408 462925 555510 740680 925850 1111020 1388775 1851700 1870217 2222040 2777550 3703400 3740434 5555100 5610651 7480868 9351085 11110200 11221302 14961736 18702170 22442604 28053255 37404340 44885208 46755425 56106510 74808680 93510850 112213020 140266275 187021700 224426040 280532550 374043400 561065100 1122130200