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2123115100 = 2252198313463
BaseRepresentation
bin111111010001100…
…0010101001011100
312110222000102101121
41332203002221130
513322004140400
6550401420324
7103420115641
oct17643025134
95428012347
102123115100
1199a496887
124b303a6a4
1327ab22132
14161d85dc8
15c65d121a
hex7e8c2a5c

2123115100 has 72 divisors (see below), whose sum is σ = 4908435840. Its totient is φ = 794796480.

The previous prime is 2123115097. The next prime is 2123115101. The reversal of 2123115100 is 15113212.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2123115101) 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, 150969 + ... + 164431.

It is an arithmetic number, because the mean of its divisors is an integer number (68172720).

Almost surely, 22123115100 is an apocalyptic number.

2123115100 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 2123115100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2454217920).

2123115100 is an abundant number, since it is smaller than the sum of its proper divisors (2785320740).

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

2123115100 is a wasteful number, since it uses less digits than its factorization.

2123115100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13579 (or 13572 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 16.

The square root of 2123115100 is about 46077.2731398029. The cubic root of 2123115100 is about 1285.2605567114.

Adding to 2123115100 its reverse (15113212), we get a palindrome (2138228312).

The spelling of 2123115100 in words is "two billion, one hundred twenty-three million, one hundred fifteen thousand, one hundred".

Divisors: 1 2 4 5 10 19 20 25 38 50 76 83 95 100 166 190 332 380 415 475 830 950 1577 1660 1900 2075 3154 4150 6308 7885 8300 13463 15770 26926 31540 39425 53852 67315 78850 134630 157700 255797 269260 336575 511594 673150 1023188 1117429 1278985 1346300 2234858 2557970 4469716 5115940 5587145 6394925 11174290 12789850 21231151 22348580 25579700 27935725 42462302 55871450 84924604 106155755 111742900 212311510 424623020 530778775 1061557550 2123115100