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2102210313 = 3747245317
BaseRepresentation
bin111110101001101…
…0010111100001001
312102111200100102020
41331103102330021
513301131212223
6544333355053
7103044331020
oct17523227411
95374610366
102102210313
119897087a5
124a8038a89
132766b2c38
1415d2a38b7
15c48521e3
hex7d4d2f09

2102210313 has 24 divisors (see below), whose sum is σ = 3273047232. Its totient is φ = 1175678304.

The previous prime is 2102210309. The next prime is 2102210323. The reversal of 2102210313 is 3130122012.

It is not a de Polignac number, because 2102210313 - 22 = 2102210309 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2102210292 and 2102210301.

It is not an unprimeable number, because it can be changed into a prime (2102210323) by changing a digit.

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, 23731 + ... + 69047.

It is an arithmetic number, because the mean of its divisors is an integer number (136376968).

Almost surely, 22102210313 is an apocalyptic number.

It is an amenable number.

2102210313 is a deficient number, since it is larger than the sum of its proper divisors (1170836919).

2102210313 is an equidigital number, since it uses as much as digits as its factorization.

2102210313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45421 (or 45374 counting only the distinct ones).

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

The square root of 2102210313 is about 45849.8670990440. The cubic root of 2102210313 is about 1281.0282901146.

Adding to 2102210313 its reverse (3130122012), we get a palindrome (5232332325).

The spelling of 2102210313 in words is "two billion, one hundred two million, two hundred ten thousand, three hundred thirteen".

Divisors: 1 3 7 21 47 141 329 987 2209 6627 15463 45317 46389 135951 317219 951657 2129899 6389697 14909293 44727879 100105253 300315759 700736771 2102210313