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2131210300 = 2252472771637
BaseRepresentation
bin111111100000111…
…1011000000111100
312111112020200220211
41333001323000330
513331042212200
6551251122204
7103545663052
oct17701730074
95445220824
102131210300
119a401592a
124b58a3364
1327c6c79ab
141630921d2
15c717eaba
hex7f07b03c

2131210300 has 72 divisors (see below), whose sum is σ = 4743071424. Its totient is φ = 830826240.

The previous prime is 2131210283. The next prime is 2131210363. The reversal of 2131210300 is 30121312.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1301082 + ... + 1302718.

It is an arithmetic number, because the mean of its divisors is an integer number (65875992).

Almost surely, 22131210300 is an apocalyptic number.

2131210300 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 2131210300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2371535712).

2131210300 is an abundant number, since it is smaller than the sum of its proper divisors (2611861124).

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

2131210300 is a wasteful number, since it uses less digits than its factorization.

2131210300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1975 (or 1968 counting only the distinct ones).

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

The square root of 2131210300 is about 46165.0333044394. The cubic root of 2131210300 is about 1286.8920031243.

Adding to 2131210300 its reverse (30121312), we get a palindrome (2161331612).

The spelling of 2131210300 in words is "two billion, one hundred thirty-one million, two hundred ten thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 47 50 94 100 188 235 277 470 554 940 1108 1175 1385 1637 2350 2770 3274 4700 5540 6548 6925 8185 13019 13850 16370 26038 27700 32740 40925 52076 65095 76939 81850 130190 153878 163700 260380 307756 325475 384695 453449 650950 769390 906898 1301900 1538780 1813796 1923475 2267245 3846950 4534490 7693900 9068980 11336225 21312103 22672450 42624206 45344900 85248412 106560515 213121030 426242060 532802575 1065605150 2131210300