Search a number
-
+
11122442200 = 2352536715661
BaseRepresentation
bin10100101101111001…
…01111111111011000
31001201010211121100201
422112330233333120
5140234321122300
65035400311544
7542424125122
oct122674577730
931633747321
1011122442200
1147983684a1
1221a4a725b4
1310833c805c
14777264212
154516c866a
hex296f2ffd8

11122442200 has 96 divisors (see below), whose sum is σ = 26742551760. Its totient is φ = 4299609600.

The previous prime is 11122442197. The next prime is 11122442203. The reversal of 11122442200 is 224422111.

It is an interprime number because it is at equal distance from previous prime (11122442197) and next prime (11122442203).

It is a zygodrome in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11122442203) 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, 702370 + ... + 718030.

Almost surely, 211122442200 is an apocalyptic number.

11122442200 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 11122442200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13371275880).

11122442200 is an abundant number, since it is smaller than the sum of its proper divisors (15620109560).

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

11122442200 is a wasteful number, since it uses less digits than its factorization.

11122442200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15797 (or 15788 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 19.

Adding to 11122442200 its reverse (224422111), we get a palindrome (11346864311).

The spelling of 11122442200 in words is "eleven billion, one hundred twenty-two million, four hundred forty-two thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 53 67 100 106 134 200 212 265 268 335 424 530 536 670 1060 1325 1340 1675 2120 2650 2680 3350 3551 5300 6700 7102 10600 13400 14204 15661 17755 28408 31322 35510 62644 71020 78305 88775 125288 142040 156610 177550 313220 355100 391525 626440 710200 783050 830033 1049287 1566100 1660066 2098574 3132200 3320132 4150165 4197148 5246435 6640264 8300330 8394296 10492870 16600660 20750825 20985740 26232175 33201320 41501650 41971480 52464350 55612211 83003300 104928700 111224422 166006600 209857400 222448844 278061055 444897688 556122110 1112244220 1390305275 2224488440 2780610550 5561221100 11122442200