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10311900 = 2235237929
BaseRepresentation
bin100111010101…
…100011011100
3201101220021020
4213111203130
510114440100
61005004140
7153435564
oct47254334
921356236
1010311900
115903535
123553650
1321a0821
141525da4
15d8a5a0
hex9d58dc

10311900 has 72 divisors (see below), whose sum is σ = 30675120. Its totient is φ = 2672640.

The previous prime is 10311893. The next prime is 10311901. The reversal of 10311900 is 911301.

It is a super-2 number, since 2×103119002 = 212670563220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 10311900.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10311901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10636 + ... + 11564.

Almost surely, 210311900 is an apocalyptic number.

10311900 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 10311900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15337560).

10311900 is an abundant number, since it is smaller than the sum of its proper divisors (20363220).

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

10311900 is a wasteful number, since it uses less digits than its factorization.

10311900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 983 (or 976 counting only the distinct ones).

The product of its (nonzero) digits is 27, while the sum is 15.

The square root of 10311900 is about 3211.2147234341. The cubic root of 10311900 is about 217.6604708216.

It can be divided in two parts, 10311 and 900, that added together give a palindrome (11211).

The spelling of 10311900 in words is "ten million, three hundred eleven thousand, nine hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 37 50 60 74 75 100 111 148 150 185 222 300 370 444 555 740 925 929 1110 1850 1858 2220 2775 2787 3700 3716 4645 5550 5574 9290 11100 11148 13935 18580 23225 27870 34373 46450 55740 68746 69675 92900 103119 137492 139350 171865 206238 278700 343730 412476 515595 687460 859325 1031190 1718650 2062380 2577975 3437300 5155950 10311900