Search a number
-
+
1131112200 = 233523750951
BaseRepresentation
bin100001101101011…
…0110011100001000
32220211101110020110
41003122312130020
54304031042300
6304123354320
740013203131
oct10332663410
92824343213
101131112200
11530535379
122769829a0
13150454c7a
14aa31ac88
156947e550
hex436b6708

1131112200 has 96 divisors (see below), whose sum is σ = 3601287360. Its totient is φ = 293472000.

The previous prime is 1131112189. The next prime is 1131112261. The reversal of 1131112200 is 22111311.

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

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, 3276 + ... + 47675.

It is an arithmetic number, because the mean of its divisors is an integer number (37513410).

Almost surely, 21131112200 is an apocalyptic number.

1131112200 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 1131112200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1800643680).

1131112200 is an abundant number, since it is smaller than the sum of its proper divisors (2470175160).

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

1131112200 is a wasteful number, since it uses less digits than its factorization.

1131112200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51007 (or 50998 counting only the distinct ones).

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

The square root of 1131112200 is about 33632.0115366298. The cubic root of 1131112200 is about 1041.9220496677.

Adding to 1131112200 its reverse (22111311), we get a palindrome (1153223511).

The spelling of 1131112200 in words is "one billion, one hundred thirty-one million, one hundred twelve thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 37 40 50 60 74 75 100 111 120 148 150 185 200 222 296 300 370 444 555 600 740 888 925 1110 1480 1850 2220 2775 3700 4440 5550 7400 11100 22200 50951 101902 152853 203804 254755 305706 407608 509510 611412 764265 1019020 1222824 1273775 1528530 1885187 2038040 2547550 3057060 3770374 3821325 5095100 5655561 6114120 7540748 7642650 9425935 10190200 11311122 15081496 15285300 18851870 22622244 28277805 30570600 37703740 45244488 47129675 56555610 75407480 94259350 113111220 141389025 188518700 226222440 282778050 377037400 565556100 1131112200