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11031132200 = 2352117368687
BaseRepresentation
bin10100100011000000…
…11011100000101000
31001110210000120120212
422101200123200220
5140042432212300
65022335240252
7540235035164
oct122140334050
931423016525
1011031132200
114750871990
12217a379088
13106a507a7a
14769095ca4
1544868d935
hex29181b828

11031132200 has 96 divisors (see below), whose sum is σ = 28362648960. Its totient is φ = 3956313600.

The previous prime is 11031132169. The next prime is 11031132209. The reversal of 11031132200 is 223113011.

It is a super-2 number, since 2×110311322002 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (11031132209) 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, 126257 + ... + 194943.

It is an arithmetic number, because the mean of its divisors is an integer number (295444260).

Almost surely, 211031132200 is an apocalyptic number.

11031132200 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 11031132200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14181324480).

11031132200 is an abundant number, since it is smaller than the sum of its proper divisors (17331516760).

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

11031132200 is a wasteful number, since it uses less digits than its factorization.

11031132200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68787 (or 68778 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 11031132200 its reverse (223113011), we get a palindrome (11254245211).

The spelling of 11031132200 in words is "eleven billion, thirty-one million, one hundred thirty-two thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 73 88 100 110 146 200 220 275 292 365 440 550 584 730 803 1100 1460 1606 1825 2200 2920 3212 3650 4015 6424 7300 8030 14600 16060 20075 32120 40150 68687 80300 137374 160600 274748 343435 549496 686870 755557 1373740 1511114 1717175 2747480 3022228 3434350 3777785 5014151 6044456 6868700 7555570 10028302 13737400 15111140 18888925 20056604 25070755 30222280 37777850 40113208 50141510 55155661 75555700 100283020 110311322 125353775 151111400 200566040 220622644 250707550 275778305 441245288 501415100 551556610 1002830200 1103113220 1378891525 2206226440 2757783050 5515566100 11031132200