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11122368900 = 22352257144259
BaseRepresentation
bin10100101101111000…
…11110000110000100
31001201010200212210220
422112330132012010
5140234311301100
65035354544340
7542423401326
oct122674360604
931633625726
1011122368900
114798318415
1221a4a380b0
1310833a0896
14777245616
154516b1aa0
hex296f1e184

11122368900 has 72 divisors (see below), whose sum is σ = 32306161440. Its totient is φ = 2954403840.

The previous prime is 11122368889. The next prime is 11122368947. The reversal of 11122368900 is 986322111.

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, 4971 + ... + 149229.

Almost surely, 211122368900 is an apocalyptic number.

11122368900 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 11122368900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16153080720).

11122368900 is an abundant number, since it is smaller than the sum of its proper divisors (21183792540).

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

11122368900 is a wasteful number, since it uses less digits than its factorization.

11122368900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144533 (or 144526 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 33.

The spelling of 11122368900 in words is "eleven billion, one hundred twenty-two million, three hundred sixty-eight thousand, nine hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 257 300 514 771 1028 1285 1542 2570 3084 3855 5140 6425 7710 12850 15420 19275 25700 38550 77100 144259 288518 432777 577036 721295 865554 1442590 1731108 2163885 2885180 3606475 4327770 7212950 8655540 10819425 14425900 21638850 37074563 43277700 74149126 111223689 148298252 185372815 222447378 370745630 444894756 556118445 741491260 926864075 1112236890 1853728150 2224473780 2780592225 3707456300 5561184450 11122368900