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31113130222233 = 362322938321157
BaseRepresentation
bin1110001001100000101110…
…00100110010001010011001
311002011101102112120221000000
413010300113010302022121
513034224142314102413
6150101101423003213
76360564241226103
oct704602704621231
9132141375527000
1031113130222233
119a06005990384
1235a5b24439509
131448c56581b97
14797c525da573
1538e4cd351073
hex1c4c17132299

31113130222233 has 112 divisors (see below), whose sum is σ = 49019071057920. Its totient is φ = 19701111019392.

The previous prime is 31113130222147. The next prime is 31113130222247. The reversal of 31113130222233 is 33222203131113.

31113130222233 is a `hidden beast` number, since 3 + 1 + 1 + 131 + 302 + 2 + 223 + 3 = 666.

It is not a de Polignac number, because 31113130222233 - 225 = 31113096667801 is a prime.

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

It is a junction number, because it is equal to n+sod(n) for n = 31113130222197 and 31113130222206.

It is not an unprimeable number, because it can be changed into a prime (31113130222253) 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 111 ways as a sum of consecutive naturals, for example, 1470572691 + ... + 1470593847.

Almost surely, 231113130222233 is an apocalyptic number.

It is an amenable number.

31113130222233 is a deficient number, since it is larger than the sum of its proper divisors (17905940835687).

31113130222233 is a wasteful number, since it uses less digits than its factorization.

31113130222233 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21810 (or 21795 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 31113130222233 its reverse (33222203131113), we get a palindrome (64335333353346).

The spelling of 31113130222233 in words is "thirty-one trillion, one hundred thirteen billion, one hundred thirty million, two hundred twenty-two thousand, two hundred thirty-three".

Divisors: 1 3 9 23 27 69 81 207 229 243 383 621 687 729 1149 1863 2061 3447 5267 5589 6183 8809 10341 15801 16767 18549 21157 26427 31023 47403 55647 63471 79281 87707 93069 142209 166941 190413 237843 263121 279207 426627 486611 571239 713529 789363 1279881 1459833 1713717 2017261 2140587 2368089 3839643 4379499 4844953 5141151 6051783 6421761 7104267 8103131 13138497 14534859 15423453 18155349 21312801 24309393 39415491 43604577 54466047 63938403 72928179 111433919 118246473 130813731 163398141 186372013 218784537 334301757 354739419 392441193 490194423 559116039 656353611 1002905271 1177323579 1470583269 1677348117 1855616999 1969060833 3008715813 3531970737 5032044351 5566850997 5907182499 9026147439 15096133053 16700552991 27078442317 42679190977 45288399159 50101658973 81235326951 128037572931 135865197477 150304976919 384112718793 450914930757 1152338156379 1352744792271 3457014469137 10371043407411 31113130222233