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2123100 = 2232527337
BaseRepresentation
bin1000000110010101011100
310222212100100
420012111130
51020414400
6113301100
724021540
oct10062534
93885310
102123100
111220131
12864790
13594495
143d3a20
152be100
hex20655c

2123100 has 108 divisors (see below), whose sum is σ = 7627984. Its totient is φ = 483840.

The previous prime is 2123087. The next prime is 2123123. The reversal of 2123100 is 13212.

It is a happy number.

2123100 is nontrivially palindromic in base 13.

It is a super-2 number, since 2×21231002 = 9015107220000, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 6132 + ... + 6468.

22123100 is an apocalyptic number.

2123100 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 2123100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3813992).

2123100 is an abundant number, since it is smaller than the sum of its proper divisors (5504884).

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

2123100 is a wasteful number, since it uses less digits than its factorization.

2123100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 364 (or 354 counting only the distinct ones).

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

The square root of 2123100 is about 1457.0861333497. The cubic root of 2123100 is about 128.5257509698.

Adding to 2123100 its reverse (13212), we get a palindrome (2136312).

The spelling of 2123100 in words is "two million, one hundred twenty-three thousand, one hundred".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 25 28 30 35 36 42 45 50 60 63 70 75 84 90 100 105 126 140 150 175 180 210 225 252 300 315 337 350 420 450 525 630 674 700 900 1011 1050 1260 1348 1575 1685 2022 2100 2359 3033 3150 3370 4044 4718 5055 6066 6300 6740 7077 8425 9436 10110 11795 12132 14154 15165 16850 20220 21231 23590 25275 28308 30330 33700 35385 42462 47180 50550 58975 60660 70770 75825 84924 101100 106155 117950 141540 151650 176925 212310 235900 303300 353850 424620 530775 707700 1061550 2123100