Search a number
-
+
31102200 = 23325237467
BaseRepresentation
bin111011010100…
…1010011111000
32011112011012100
41312221103320
530430232300
63030343400
7525235653
oct166512370
964464170
1031102200
11166135a8
12a4bab60
13659c88c
1441b889a
152ae5700
hex1da94f8

31102200 has 144 divisors (see below), whose sum is σ = 107504280. Its totient is φ = 8052480.

The previous prime is 31102199. The next prime is 31102213. The reversal of 31102200 is 220113.

Adding to 31102200 its reverse (220113), we get a palindrome (31322313).

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 66367 + ... + 66833.

Almost surely, 231102200 is an apocalyptic number.

31102200 is a gapful number since it is divisible by the number (30) 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 31102200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53752140).

31102200 is an abundant number, since it is smaller than the sum of its proper divisors (76402080).

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

31102200 is a wasteful number, since it uses less digits than its factorization.

31102200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 526 (or 514 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 31102200 is about 5576.9346418978. The cubic root of 31102200 is about 314.4829006570.

The spelling of 31102200 in words is "thirty-one million, one hundred two thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 37 40 45 50 60 72 74 75 90 100 111 120 148 150 180 185 200 222 225 296 300 333 360 370 444 450 467 555 600 666 740 888 900 925 934 1110 1332 1401 1480 1665 1800 1850 1868 2220 2335 2664 2775 2802 3330 3700 3736 4203 4440 4670 5550 5604 6660 7005 7400 8325 8406 9340 11100 11208 11675 13320 14010 16650 16812 17279 18680 21015 22200 23350 28020 33300 33624 34558 35025 42030 46700 51837 56040 66600 69116 70050 84060 86395 93400 103674 105075 138232 140100 155511 168120 172790 207348 210150 259185 280200 311022 345580 414696 420300 431975 518370 622044 691160 777555 840600 863950 1036740 1244088 1295925 1555110 1727900 2073480 2591850 3110220 3455800 3887775 5183700 6220440 7775550 10367400 15551100 31102200