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2131303000 = 235341227229
BaseRepresentation
bin111111100001001…
…0001101001011000
312111112102102002011
41333002101221120
513331103144000
6551253115304
7103546530241
oct17702215130
95445372064
102131303000
119a4079542
124b5928b34
1327c72ac48
141630b7cc8
15c719c2ba
hex7f091a58

2131303000 has 128 divisors (see below), whose sum is σ = 5153803200. Its totient is φ = 824448000.

The previous prime is 2131302991. The next prime is 2131303033. The reversal of 2131303000 is 3031312.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9306886 + ... + 9307114.

Almost surely, 22131303000 is an apocalyptic number.

2131303000 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 2131303000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2576901600).

2131303000 is an abundant number, since it is smaller than the sum of its proper divisors (3022500200).

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

2131303000 is a wasteful number, since it uses less digits than its factorization.

2131303000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 518 (or 504 counting only the distinct ones).

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

The square root of 2131303000 is about 46166.0373001626. The cubic root of 2131303000 is about 1286.9106612485.

Adding to 2131303000 its reverse (3031312), we get a palindrome (2134334312).

The spelling of 2131303000 in words is "two billion, one hundred thirty-one million, three hundred three thousand".

Divisors: 1 2 4 5 8 10 20 25 40 41 50 82 100 125 164 200 205 227 229 250 328 410 454 458 500 820 908 916 1000 1025 1135 1145 1640 1816 1832 2050 2270 2290 4100 4540 4580 5125 5675 5725 8200 9080 9160 9307 9389 10250 11350 11450 18614 18778 20500 22700 22900 28375 28625 37228 37556 41000 45400 45800 46535 46945 51983 56750 57250 74456 75112 93070 93890 103966 113500 114500 186140 187780 207932 227000 229000 232675 234725 259915 372280 375560 415864 465350 469450 519830 930700 938900 1039660 1163375 1173625 1299575 1861400 1877800 2079320 2131303 2326750 2347250 2599150 4262606 4653500 4694500 5198300 6497875 8525212 9307000 9389000 10396600 10656515 12995750 17050424 21313030 25991500 42626060 51983000 53282575 85252120 106565150 213130300 266412875 426260600 532825750 1065651500 2131303000