[go: up one dir, main page]

Search a number
-
+
31203300 = 22352472213
BaseRepresentation
bin111011100000…
…1111111100100
32011201021212210
41313001333210
530442001200
63032443420
7526136502
oct167017744
964637783
1031203300
1116682557
12a549570
1366068bb
144203672
152b15650
hex1dc1fe4

31203300 has 72 divisors (see below), whose sum is σ = 92244096. Its totient is φ = 8140160.

The previous prime is 31203287. The next prime is 31203317. The reversal of 31203300 is 330213.

It is a happy number.

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, 12994 + ... + 15206.

It is an arithmetic number, because the mean of its divisors is an integer number (1281168).

Almost surely, 231203300 is an apocalyptic number.

31203300 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 31203300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46122048).

31203300 is an abundant number, since it is smaller than the sum of its proper divisors (61040796).

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

31203300 is a wasteful number, since it uses less digits than its factorization.

31203300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2277 (or 2270 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 12.

The square root of 31203300 is about 5585.9914070825. The cubic root of 31203300 is about 314.8232820825.

Adding to 31203300 its reverse (330213), we get a palindrome (31533513).

The spelling of 31203300 in words is "thirty-one million, two hundred three thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 47 50 60 75 94 100 141 150 188 235 282 300 470 564 705 940 1175 1410 2213 2350 2820 3525 4426 4700 6639 7050 8852 11065 13278 14100 22130 26556 33195 44260 55325 66390 104011 110650 132780 165975 208022 221300 312033 331950 416044 520055 624066 663900 1040110 1248132 1560165 2080220 2600275 3120330 5200550 6240660 7800825 10401100 15601650 31203300