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2131100 = 2252101211
BaseRepresentation
bin1000001000010010011100
311000021022122
420020102130
51021143400
6113402112
724054056
oct10102234
94007278
102131100
111226144
12869338
1359800a
143d68d6
152c1685
hex20849c

2131100 has 36 divisors (see below), whose sum is σ = 4692408. Its totient is φ = 840000.

The previous prime is 2131099. The next prime is 2131109. The reversal of 2131100 is 11312.

Adding to 2131100 its reverse (11312), we get a palindrome (2142412).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2131109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9995 + ... + 10205.

22131100 is an apocalyptic number.

2131100 is a gapful number since it is divisible by the number (20) 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 2131100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2346204).

2131100 is an abundant number, since it is smaller than the sum of its proper divisors (2561308).

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

2131100 is a wasteful number, since it uses less digits than its factorization.

2131100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 326 (or 319 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 8.

The square root of 2131100 is about 1459.8287570808. The cubic root of 2131100 is about 128.6869801868.

The spelling of 2131100 in words is "two million, one hundred thirty-one thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 101 202 211 404 422 505 844 1010 1055 2020 2110 2525 4220 5050 5275 10100 10550 21100 21311 42622 85244 106555 213110 426220 532775 1065550 2131100