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2131000 = 23532131
BaseRepresentation
bin1000001000010000111000
311000021011221
420020100320
51021143000
6113401424
724053554
oct10102070
94007157
102131000
111226063
12869274
13597c61
143d6864
152c161a
hex208438

2131000 has 32 divisors (see below), whose sum is σ = 4988880. Its totient is φ = 852000.

The previous prime is 2130979. The next prime is 2131013. The reversal of 2131000 is 1312.

It is a super-2 number, since 2×21310002 = 9082322000000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 66 + ... + 2065.

22131000 is an apocalyptic number.

2131000 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 2131000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2494440).

2131000 is an abundant number, since it is smaller than the sum of its proper divisors (2857880).

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

2131000 is a wasteful number, since it uses less digits than its factorization.

2131000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2152 (or 2138 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 7.

The square root of 2131000 is about 1459.7945060864. The cubic root of 2131000 is about 128.6849673141.

Adding to 2131000 its reverse (1312), we get a palindrome (2132312).

The spelling of 2131000 in words is "two million, one hundred thirty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 1000 2131 4262 8524 10655 17048 21310 42620 53275 85240 106550 213100 266375 426200 532750 1065500 2131000