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2103123100 = 2252134734421
BaseRepresentation
bin111110101011011…
…0001110010011100
312102120101201112011
41331112301302130
513301344414400
6544405121004
7103055152141
oct17526616234
95376351464
102103123100
1198a181571
124a83b9164
13276942550
1415d4603c8
15c49828ba
hex7d5b1c9c

2103123100 has 72 divisors (see below), whose sum is σ = 5019553728. Its totient is φ = 759993600.

The previous prime is 2103123097. The next prime is 2103123103. The reversal of 2103123100 is 13213012.

It is an interprime number because it is at equal distance from previous prime (2103123097) and next prime (2103123103).

It is a super-2 number, since 2×21031231002 = 8846253547507220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2103123103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 43890 + ... + 78310.

It is an arithmetic number, because the mean of its divisors is an integer number (69716024).

Almost surely, 22103123100 is an apocalyptic number.

2103123100 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 2103123100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2509776864).

2103123100 is an abundant number, since it is smaller than the sum of its proper divisors (2916430628).

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

2103123100 is a wasteful number, since it uses less digits than its factorization.

2103123100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34495 (or 34488 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

The square root of 2103123100 is about 45859.8201043135. The cubic root of 2103123100 is about 1281.2136722597.

Adding to 2103123100 its reverse (13213012), we get a palindrome (2116336112).

The spelling of 2103123100 in words is "two billion, one hundred three million, one hundred twenty-three thousand, one hundred".

Divisors: 1 2 4 5 10 13 20 25 26 47 50 52 65 94 100 130 188 235 260 325 470 611 650 940 1175 1222 1300 2350 2444 3055 4700 6110 12220 15275 30550 34421 61100 68842 137684 172105 344210 447473 688420 860525 894946 1617787 1721050 1789892 2237365 3235574 3442100 4474730 6471148 8088935 8949460 11186825 16177870 21031231 22373650 32355740 40444675 42062462 44747300 80889350 84124924 105156155 161778700 210312310 420624620 525780775 1051561550 2103123100