Search a number
-
+
2101320020 = 2251723379709
BaseRepresentation
bin111110100111111…
…1001100101010100
312102110000010011102
41331033321211110
513300414220040
6544302325232
7103033632302
oct17517714524
95373003142
102101320020
1198915a918
124a7889818
13276460937
1415d111272
15c4728515
hex7d3f9954

2101320020 has 96 divisors (see below), whose sum is σ = 4895251200. Its totient is φ = 753629184.

The previous prime is 2101320017. The next prime is 2101320079. The reversal of 2101320020 is 200231012.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 2101319983 and 2101320010.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2963426 + ... + 2964134.

It is an arithmetic number, because the mean of its divisors is an integer number (50992200).

Almost surely, 22101320020 is an apocalyptic number.

2101320020 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 2101320020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2447625600).

2101320020 is an abundant number, since it is smaller than the sum of its proper divisors (2793931180).

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

2101320020 is a wasteful number, since it uses less digits than its factorization.

2101320020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1137 (or 1135 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

The square root of 2101320020 is about 45840.1572859431. The cubic root of 2101320020 is about 1280.8474246781.

Adding to 2101320020 its reverse (200231012), we get a palindrome (2301551032).

The spelling of 2101320020 in words is "two billion, one hundred one million, three hundred twenty thousand, twenty".

Divisors: 1 2 4 5 10 17 20 23 34 46 68 85 92 115 170 230 340 379 391 460 709 758 782 1418 1516 1564 1895 1955 2836 3545 3790 3910 6443 7090 7580 7820 8717 12053 12886 14180 16307 17434 24106 25772 32215 32614 34868 43585 48212 60265 64430 65228 81535 87170 120530 128860 148189 163070 174340 241060 268711 277219 296378 326140 537422 554438 592756 740945 1074844 1108876 1343555 1386095 1481890 2687110 2772190 2963780 4568087 5374220 5544380 6180353 9136174 12360706 18272348 22840435 24721412 30901765 45680870 61803530 91361740 105066001 123607060 210132002 420264004 525330005 1050660010 2101320020