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113133144420 = 22335337621679
BaseRepresentation
bin110100101011101000…
…0101100100101100100
3101211000102222012112000
41221113100230211210
53323144041110140
6123550031525300
711113354601202
oct1512720544544
9354012865460
10113133144420
1143a8578a96a
1219b14089830
13a88c65b20a
145693368072
152e221dba30
hex1a5742c964

113133144420 has 96 divisors (see below), whose sum is σ = 353014771200. Its totient is φ = 30079268352.

The previous prime is 113133144407. The next prime is 113133144427. The reversal of 113133144420 is 24441331311.

113133144420 is a `hidden beast` number, since 11 + 313 + 314 + 4 + 4 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (113133144427) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 128860 + ... + 492819.

It is an arithmetic number, because the mean of its divisors is an integer number (3677237200).

Almost surely, 2113133144420 is an apocalyptic number.

113133144420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

113133144420 is an abundant number, since it is smaller than the sum of its proper divisors (239881626780).

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

113133144420 is a wasteful number, since it uses less digits than its factorization.

113133144420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 622034 (or 622026 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 113133144420 its reverse (24441331311), we get a palindrome (137574475731).

The spelling of 113133144420 in words is "one hundred thirteen billion, one hundred thirty-three million, one hundred forty-four thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 337 540 674 1011 1348 1685 2022 3033 3370 4044 5055 6066 6740 9099 10110 12132 15165 18198 20220 30330 36396 45495 60660 90990 181980 621679 1243358 1865037 2486716 3108395 3730074 5595111 6216790 7460148 9325185 11190222 12433580 16785333 18650370 22380444 27975555 33570666 37300740 55951110 67141332 83926665 111902220 167853330 209505823 335706660 419011646 628517469 838023292 1047529115 1257034938 1885552407 2095058230 2514069876 3142587345 3771104814 4190116460 5656657221 6285174690 7542209628 9427762035 11313314442 12570349380 18855524070 22626628884 28283286105 37711048140 56566572210 113133144420