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212141310 = 23519973541
BaseRepresentation
bin11001010010100…
…00010011111110
3112210011220011120
430221100103332
5413302010220
633014531410
75154112533
oct1451202376
9483156146
10212141310
11a98259a7
125b066b66
1334c48704
1420262d8a
1513956a40
hexca504fe

212141310 has 32 divisors (see below), whose sum is σ = 509537952. Its totient is φ = 56526720.

The previous prime is 212141297. The next prime is 212141333. The reversal of 212141310 is 13141212.

212141310 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2121413102 = 90007870817032200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 212141310.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 58140 + ... + 61680.

It is an arithmetic number, because the mean of its divisors is an integer number (15923061).

Almost surely, 2212141310 is an apocalyptic number.

212141310 is an abundant number, since it is smaller than the sum of its proper divisors (297396642).

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

212141310 is a wasteful number, since it uses less digits than its factorization.

212141310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5548.

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 212141310 is about 14565.0715755193. The cubic root of 212141310 is about 596.4056496282.

Adding to 212141310 its reverse (13141212), we get a palindrome (225282522).

The spelling of 212141310 in words is "two hundred twelve million, one hundred forty-one thousand, three hundred ten".

Divisors: 1 2 3 5 6 10 15 30 1997 3541 3994 5991 7082 9985 10623 11982 17705 19970 21246 29955 35410 53115 59910 106230 7071377 14142754 21214131 35356885 42428262 70713770 106070655 212141310