Search a number
-
+
211234432112 = 24112352182419
BaseRepresentation
bin1100010010111010001…
…1011010010001110000
3202012020021211222010122
43010232203122101300
511430102003311422
6241012330545412
721155405022254
oct3045643322160
9665207758118
10211234432112
118164736a340
1234b31b98268
1316bc4998242
14a31c178264
1557648bed42
hex312e8da470

211234432112 has 40 divisors (see below), whose sum is σ = 465884645760. Its totient is φ = 91841055680.

The previous prime is 211234432081. The next prime is 211234432141.

It is a happy number.

211234432112 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 26087162 + ... + 26095257.

It is an arithmetic number, because the mean of its divisors is an integer number (11647116144).

Almost surely, 2211234432112 is an apocalyptic number.

211234432112 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

211234432112 is an abundant number, since it is smaller than the sum of its proper divisors (254650213648).

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

211234432112 is a wasteful number, since it uses less digits than its factorization.

211234432112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52182461 (or 52182455 counting only the distinct ones).

The product of its digits is 2304, while the sum is 26.

It can be divided in two parts, 211234 and 432112, that added together give a palindrome (643346).

The spelling of 211234432112 in words is "two hundred eleven billion, two hundred thirty-four million, four hundred thirty-two thousand, one hundred twelve".

Divisors: 1 2 4 8 11 16 22 23 44 46 88 92 176 184 253 368 506 1012 2024 4048 52182419 104364838 208729676 417459352 574006609 834918704 1148013218 1200195637 2296026436 2400391274 4592052872 4800782548 9184105744 9601565096 13202152007 19203130192 26404304014 52808608028 105617216056 211234432112