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212332113 = 327232931163
BaseRepresentation
bin11001010011111…
…10111001010001
3112210112120220100
430221332321101
5413324111423
633023003013
75155536030
oct1451767121
9483476810
10212332113
11a9946294
125b139469
1334cb4506
14202b2717
1513993343
hexca7ee51

212332113 has 96 divisors (see below), whose sum is σ = 392970240. Its totient is φ = 107775360.

The previous prime is 212332111. The next prime is 212332129. The reversal of 212332113 is 311233212.

It is not a de Polignac number, because 212332113 - 21 = 212332111 is a prime.

It is a super-2 number, since 2×2123321132 = 90169852422089538, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (212332111) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1302570 + ... + 1302732.

It is an arithmetic number, because the mean of its divisors is an integer number (4093440).

Almost surely, 2212332113 is an apocalyptic number.

212332113 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

It is an amenable number.

212332113 is a deficient number, since it is larger than the sum of its proper divisors (180638127).

212332113 is a wasteful number, since it uses less digits than its factorization.

212332113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 259 (or 256 counting only the distinct ones).

The product of its digits is 216, while the sum is 18.

The square root of 212332113 is about 14571.6201226905. The cubic root of 212332113 is about 596.5844013725.

Adding to 212332113 its reverse (311233212), we get a palindrome (523565325).

The spelling of 212332113 in words is "two hundred twelve million, three hundred thirty-two thousand, one hundred thirteen".

Divisors: 1 3 7 9 21 23 29 31 63 69 87 93 161 163 203 207 217 261 279 483 489 609 651 667 713 899 1141 1449 1467 1827 1953 2001 2139 2697 3423 3749 4669 4727 4991 5053 6003 6293 6417 8091 10269 11247 14007 14181 14973 15159 18879 20677 26243 33089 33741 35371 42021 42543 44919 45477 56637 62031 78729 99267 106113 108721 116219 144739 146537 186093 236187 297801 318339 326163 348657 434217 439611 761047 813533 978489 1025759 1045971 1302651 1318833 2283141 2440599 3077277 3370351 6849423 7321797 9231831 10111053 23592457 30333159 70777371 212332113