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2102314201 = 13235272
BaseRepresentation
bin111110101001110…
…1100010011011001
312102111212121220221
41331103230103121
513301143023301
6544335520041
7103045242631
oct17523542331
95374777827
102102314201
11989779859
124a8089021
1327671b300
1415d2cd6c1
15c4872da1
hex7d4ec4d9

2102314201 has 9 divisors (see below), whose sum is σ = 2277116031. Its totient is φ = 1940047512.

The previous prime is 2102314199. The next prime is 2102314213. The reversal of 2102314201 is 1024132012.

The square root of 2102314201 is 45851.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 310993225 + 1791320976 = 17635^2 + 42324^2 .

It is not a de Polignac number, because 2102314201 - 21 = 2102314199 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2102344201) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 594300 + ... + 597826.

Almost surely, 22102314201 is an apocalyptic number.

2102314201 is the 45851-st square number.

2102314201 is the 22926-th centered octagonal number.

It is an amenable number.

2102314201 is a deficient number, since it is larger than the sum of its proper divisors (174801830).

2102314201 is an frugal number, since it uses more digits than its factorization.

2102314201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7080 (or 3540 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The cubic root of 2102314201 is about 1281.0493919162.

Multiplying 2102314201 by its sum of digits (16), we get a square (33637027216 = 1834042).

Adding to 2102314201 its reverse (1024132012), we get a palindrome (3126446213).

The spelling of 2102314201 in words is "two billion, one hundred two million, three hundred fourteen thousand, two hundred one".

Divisors: 1 13 169 3527 45851 596063 12439729 161716477 2102314201