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211211230113 = 32133675578831
BaseRepresentation
bin1100010010110100101…
…0111001101110100001
3202012011200012011222100
43010231022321232201
511430030033330423
6241010141401013
721155003556042
oct3045512715641
9665150164870
10211211230113
1181635262334
1234b26269169
1316bbcc33550
14a3190588c9
15576283a343
hex312d2b9ba1

211211230113 has 48 divisors (see below), whose sum is σ = 330074873856. Its totient is φ = 129374616960.

The previous prime is 211211230093. The next prime is 211211230117. The reversal of 211211230113 is 311032112112.

211211230113 is a `hidden beast` number, since 211 + 211 + 230 + 1 + 13 = 666.

211211230113 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 211211230113 - 217 = 211211099041 is a prime.

It is a super-2 number, since 2×2112112301132 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (211211230117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 23912608 + ... + 23921438.

It is an arithmetic number, because the mean of its divisors is an integer number (6876559872).

Almost surely, 2211211230113 is an apocalyptic number.

It is an amenable number.

211211230113 is a deficient number, since it is larger than the sum of its proper divisors (118863643743).

211211230113 is a wasteful number, since it uses less digits than its factorization.

211211230113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9774 (or 9771 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 211211230113 its reverse (311032112112), we get a palindrome (522243342225).

The spelling of 211211230113 in words is "two hundred eleven billion, two hundred eleven million, two hundred thirty thousand, one hundred thirteen".

Divisors: 1 3 9 13 39 117 367 557 1101 1671 3303 4771 5013 7241 8831 14313 21723 26493 42939 65169 79479 114803 204419 344409 613257 1033227 1839771 2657447 3240977 4918867 7972341 9722931 14756601 23917023 29168793 42132701 44269803 63945271 126398103 191835813 379194309 575507439 1805224189 5415672567 16247017701 23467914457 70403743371 211211230113