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2100312 = 233231941
BaseRepresentation
bin1000000000110001011000
310221201002100
420000301120
51014202222
6113003400
723565234
oct10006130
93851070
102100312
111204aa5
12853560
13586cb6
143c95c4
152b74ac
hex200c58

2100312 has 48 divisors (see below), whose sum is σ = 5878080. Its totient is φ = 676800.

The previous prime is 2100277. The next prime is 2100313. The reversal of 2100312 is 2130012.

It is a happy number.

It is a super-2 number, since 2×21003122 = 8822620994688, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 2100294 and 2100303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2100313) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1762 + ... + 2702.

It is an arithmetic number, because the mean of its divisors is an integer number (122460).

22100312 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 2100312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2939040).

2100312 is an abundant number, since it is smaller than the sum of its proper divisors (3777768).

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

2100312 is a wasteful number, since it uses less digits than its factorization.

2100312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 984 (or 977 counting only the distinct ones).

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

The square root of 2100312 is about 1449.2453208481. The cubic root of 2100312 is about 128.0642581006.

Adding to 2100312 its reverse (2130012), we get a palindrome (4230324).

The spelling of 2100312 in words is "two million, one hundred thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 31 36 62 72 93 124 186 248 279 372 558 744 941 1116 1882 2232 2823 3764 5646 7528 8469 11292 16938 22584 29171 33876 58342 67752 87513 116684 175026 233368 262539 350052 525078 700104 1050156 2100312