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31312022322231 = 337331212951229
BaseRepresentation
bin1110001111010011001011…
…11101111011110000110111
311002212101210200011110102000
413013221211331323300313
513101004010203302411
6150332313334550343
76411135050205000
oct707514575736067
9132771720143360
1031312022322231
119a82399330942
123618590b083b3
1314619321b5611
147a371d4c41a7
1539476e3cd956
hex1c7a65f7bc37

31312022322231 has 128 divisors (see below), whose sum is σ = 55869388800000. Its totient is φ = 17306933091840.

The previous prime is 31312022322121. The next prime is 31312022322239. The reversal of 31312022322231 is 13222322021313.

31312022322231 is a `hidden beast` number, since 3 + 1 + 3 + 1 + 202 + 232 + 223 + 1 = 666.

It is not a de Polignac number, because 31312022322231 - 27 = 31312022322103 is a prime.

It is a super-2 number, since 2×313120223222312 (a number of 28 digits) contains 22 as substring.

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 = 31312022322195 and 31312022322204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31312022322239) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 611191125 + ... + 611242353.

It is an arithmetic number, because the mean of its divisors is an integer number (436479600000).

Almost surely, 231312022322231 is an apocalyptic number.

31312022322231 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

31312022322231 is a deficient number, since it is larger than the sum of its proper divisors (24557366477769).

31312022322231 is a wasteful number, since it uses less digits than its factorization.

31312022322231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53419 (or 53399 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 31312022322231 its reverse (13222322021313), we get a palindrome (44534344343544).

The spelling of 31312022322231 in words is "thirty-one trillion, three hundred twelve billion, twenty-two million, three hundred twenty-two thousand, two hundred thirty-one".

Divisors: 1 3 7 9 21 27 31 49 63 93 147 189 217 279 343 441 651 837 1029 1323 1519 1953 2129 3087 4557 5859 6387 9261 10633 13671 14903 19161 31899 41013 44709 51229 57483 65999 95697 104321 134127 153687 197997 287091 312963 358603 402381 461061 461993 593991 730247 938889 1075809 1383183 1385979 1588099 1781973 2190741 2510221 2816667 3227427 3233951 4157937 4764297 6572223 7530663 9682281 9701853 11116693 12473811 14292891 17571547 19716669 22591989 22637657 29105559 33350079 42878673 52714641 67775967 67912971 77816851 87316677 100050237 109066541 158143923 203738913 233450553 300150711 327199623 474431769 544717957 611216739 700351659 763465787 981598869 1634153871 2101054977 2290397361 2944796607 3381062771 4902461613 5344260509 6871192083 10143188313 14707384839 16032781527 20613576249 23667439397 30429564939 37409823563 48098344581 71002318191 91288694817 112229470689 144295033743 165672075779 213006954573 336688412067 497016227337 639020863719 1010065236201 1159704530453 1491048682011 3479113591359 4473146046033 10437340774077 31312022322231