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212131212 = 223374143271
BaseRepresentation
bin11001010010011…
…01110110001100
3112210011101022120
430221031312030
5413301144322
633014412540
75154041226
oct1451156614
9483141276
10212131212
11a9819357
125b061150
1334c43c37
142025d416
1513953a5c
hexca4dd8c

212131212 has 96 divisors (see below), whose sum is σ = 534825984. Its totient is φ = 65318400.

The previous prime is 212131189. The next prime is 212131223.

212131212 is nontrivially palindromic in base 10.

212131212 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 2×2121312122 = 89999302209177888, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 212131191 and 212131200.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 782637 + ... + 782907.

It is an arithmetic number, because the mean of its divisors is an integer number (5571104).

Almost surely, 2212131212 is an apocalyptic number.

It is an amenable number.

212131212 is an abundant number, since it is smaller than the sum of its proper divisors (322694772).

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

212131212 is a wasteful number, since it uses less digits than its factorization.

212131212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 399 (or 397 counting only the distinct ones).

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

The square root of 212131212 is about 14564.7249201624. The cubic root of 212131212 is about 596.3961864394.

It can be divided in two parts, 2121 and 31212, that added together give a palindrome (33333).

The spelling of 212131212 in words is "two hundred twelve million, one hundred thirty-one thousand, two hundred twelve".

Divisors: 1 2 3 4 6 12 37 41 43 74 82 86 111 123 129 148 164 172 222 246 258 271 444 492 516 542 813 1084 1517 1591 1626 1763 3034 3182 3252 3526 4551 4773 5289 6068 6364 7052 9102 9546 10027 10578 11111 11653 18204 19092 20054 21156 22222 23306 30081 33333 34959 40108 44444 46612 60162 65231 66666 69918 120324 130462 133332 139836 195693 260924 391386 411107 431161 477773 782772 822214 862322 955546 1233321 1293483 1433319 1644428 1724644 1911092 2466642 2586966 2866638 4933284 5173932 5733276 17677601 35355202 53032803 70710404 106065606 212131212