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2130210312 = 2332912792393
BaseRepresentation
bin111111011111000…
…0110111000001000
312111110100220012020
41332332012320020
513330313212222
6551213444440
7103534326456
oct17676067010
95443326166
102130210312
119a34a259a
124b54a0720
1327c437799
14162cb19d6
15c703365c
hex7ef86e08

2130210312 has 64 divisors (see below), whose sum is σ = 5515776000. Its totient is φ = 684762624.

The previous prime is 2130210263. The next prime is 2130210323. The reversal of 2130210312 is 2130120312.

It is a super-2 number, since 2×21302103122 = 9075591946702274688, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2130210291 and 2130210300.

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 15 ways as a sum of consecutive naturals, for example, 888988 + ... + 891380.

It is an arithmetic number, because the mean of its divisors is an integer number (86184000).

Almost surely, 22130210312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2130210312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2757888000).

2130210312 is an abundant number, since it is smaller than the sum of its proper divisors (3385565688).

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

2130210312 is a wasteful number, since it uses less digits than its factorization.

2130210312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3710 (or 3706 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 2130210312 is about 46154.2014555555. The cubic root of 2130210312 is about 1286.6906968704.

Adding to 2130210312 its reverse (2130120312), we get a palindrome (4260330624).

Subtracting from 2130210312 its reverse (2130120312), we obtain a square (90000 = 3002).

The spelling of 2130210312 in words is "two billion, one hundred thirty million, two hundred ten thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 24 29 58 87 116 174 232 348 696 1279 2393 2558 3837 4786 5116 7179 7674 9572 10232 14358 15348 19144 28716 30696 37091 57432 69397 74182 111273 138794 148364 208191 222546 277588 296728 416382 445092 555176 832764 890184 1665528 3060647 6121294 9181941 12242588 18363882 24485176 36727764 73455528 88758763 177517526 266276289 355035052 532552578 710070104 1065105156 2130210312