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31112200 = 2352771313
BaseRepresentation
bin111011010101…
…1110000001000
32011112122220201
41312223300020
530431042300
63030501544
7525310060
oct166536010
964478821
1031112200
1116620069
12a5048b4
1365a42b2
1441bc3a0
152ae866a
hex1dabc08

31112200 has 96 divisors (see below), whose sum is σ = 84101760. Its totient is φ = 10483200.

The previous prime is 31112183. The next prime is 31112201. The reversal of 31112200 is 221113.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31112201) 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, 99244 + ... + 99556.

It is an arithmetic number, because the mean of its divisors is an integer number (876060).

Almost surely, 231112200 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31112200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42050880).

31112200 is an abundant number, since it is smaller than the sum of its proper divisors (52989560).

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

31112200 is a wasteful number, since it uses less digits than its factorization.

31112200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 407 (or 398 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

The square root of 31112200 is about 5577.8311197095. The cubic root of 31112200 is about 314.5166012958.

Adding to 31112200 its reverse (221113), we get a palindrome (31333313).

The spelling of 31112200 in words is "thirty-one million, one hundred twelve thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 71 100 140 142 175 200 280 284 313 350 355 497 568 626 700 710 994 1252 1400 1420 1565 1775 1988 2191 2485 2504 2840 3130 3550 3976 4382 4970 6260 7100 7825 8764 9940 10955 12425 12520 14200 15650 17528 19880 21910 22223 24850 31300 43820 44446 49700 54775 62600 87640 88892 99400 109550 111115 155561 177784 219100 222230 311122 438200 444460 555575 622244 777805 888920 1111150 1244488 1555610 2222300 3111220 3889025 4444600 6222440 7778050 15556100 31112200