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31331130233031 = 352913747967751
BaseRepresentation
bin1110001111110110110001…
…11000110101000011000111
311002221020010100001220100000
413013323120320311003013
513101312123314424111
6150345153355452343
76412412420601516
oct707733070650307
9132836110056300
1031331130233031
119a8a504241062
1236202241570b3
131463688b06505
147a461310c67d
15394edbb81c56
hex1c7ed8e350c7

31331130233031 has 96 divisors (see below), whose sum is σ = 49007785881600. Its totient is φ = 19977868512000.

The previous prime is 31331130233023. The next prime is 31331130233057. The reversal of 31331130233031 is 13033203113313.

31331130233031 is a `hidden beast` number, since 3 + 1 + 331 + 1 + 3 + 0 + 23 + 303 + 1 = 666.

It is not a de Polignac number, because 31331130233031 - 23 = 31331130233023 is a prime.

It is a super-2 number, since 2×313311302330312 (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 = 31331130232986 and 31331130233004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31331130233731) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 462411406 + ... + 462479156.

It is an arithmetic number, because the mean of its divisors is an integer number (510497769600).

Almost surely, 231331130233031 is an apocalyptic number.

31331130233031 is a deficient number, since it is larger than the sum of its proper divisors (17676655648569).

31331130233031 is a wasteful number, since it uses less digits than its factorization.

31331130233031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68411 (or 68399 counting only the distinct ones).

The product of its (nonzero) digits is 4374, while the sum is 27.

Adding to 31331130233031 its reverse (13033203113313), we get a palindrome (44364333346344).

The spelling of 31331130233031 in words is "thirty-one trillion, three hundred thirty-one billion, one hundred thirty million, two hundred thirty-three thousand, thirty-one".

Divisors: 1 3 9 27 29 81 87 137 243 261 411 479 783 1233 1437 2349 3699 3973 4311 7047 11097 11919 12933 13891 33291 35757 38799 41673 65623 67751 107271 116397 125019 196869 203253 321813 375057 590607 609759 965439 1125171 1771821 1829277 1903067 1964779 3375513 5315463 5487831 5709201 5894337 9281887 15946389 16463493 17127603 17683011 27845661 32452729 51382809 53049033 83536983 97358187 154148427 159147099 250610949 269174723 292074561 462445281 477441297 751832847 807524169 876223683 941129141 2255498541 2422572507 2628671049 2823387423 4446023873 7267717521 7886013147 8470162269 13338071619 21803152563 25410486807 40014214857 65409457689 76231460421 120042644571 128934692317 228694381263 360127933713 386804076951 1080383801139 1160412230853 3481236692559 10443710077677 31331130233031