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2131003300 = 225259379953
BaseRepresentation
bin111111100000100…
…1000011110100100
312111111212011222011
41333001020132210
513331014101200
6551242444004
7103544141416
oct17701103644
95444764864
102131003300
119a3994358
124b5803604
1327c6546ca
1416303a9b6
15c713d5ba
hex7f0487a4

2131003300 has 72 divisors (see below), whose sum is σ = 4720010400. Its totient is φ = 834865920.

The previous prime is 2131003297. The next prime is 2131003313. The reversal of 2131003300 is 33001312.

It is a super-2 number, since 2×21310033002 = 9082350129221780000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2235624 + ... + 2236576.

It is an arithmetic number, because the mean of its divisors is an integer number (65555700).

Almost surely, 22131003300 is an apocalyptic number.

2131003300 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 2131003300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2360005200).

2131003300 is an abundant number, since it is smaller than the sum of its proper divisors (2589007100).

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

2131003300 is a wasteful number, since it uses less digits than its factorization.

2131003300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1405 (or 1398 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 13.

The square root of 2131003300 is about 46162.7912934216. The cubic root of 2131003300 is about 1286.8503373989.

Adding to 2131003300 its reverse (33001312), we get a palindrome (2164004612).

The spelling of 2131003300 in words is "two billion, one hundred thirty-one million, three thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 59 100 118 236 295 379 590 758 953 1180 1475 1516 1895 1906 2950 3790 3812 4765 5900 7580 9475 9530 18950 19060 22361 23825 37900 44722 47650 56227 89444 95300 111805 112454 223610 224908 281135 361187 447220 559025 562270 722374 1118050 1124540 1405675 1444748 1805935 2236100 2811350 3611870 5622700 7223740 9029675 18059350 21310033 36118700 42620066 85240132 106550165 213100330 426200660 532750825 1065501650 2131003300