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111680913413251 = 7133377915116453
BaseRepresentation
bin11001011001001010111101…
…001011000001010010000011
3112122102120221212200112111201
4121121022331023001102003
5104114240002313211001
61033305300415522031
732344452101010610
oct3131127513012203
9478376855615451
10111680913413251
1132648678119646
1210638613b29317
134a41607641000
141d81556815507
15cda124591501
hex6592bd2c1483

111680913413251 has 128 divisors (see below), whose sum is σ = 144762344652800. Its totient is φ = 84319158643200.

The previous prime is 111680913413221. The next prime is 111680913413261. The reversal of 111680913413251 is 152314319086111.

It is not a de Polignac number, because 111680913413251 - 235 = 111646553674883 is a prime.

It is not an unprimeable number, because it can be changed into a prime (111680913413221) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 6787867141 + ... + 6787883593.

It is an arithmetic number, because the mean of its divisors is an integer number (1130955817600).

Almost surely, 2111680913413251 is an apocalyptic number.

111680913413251 is a deficient number, since it is larger than the sum of its proper divisors (33081431239549).

111680913413251 is a wasteful number, since it uses less digits than its factorization.

111680913413251 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16766 (or 16740 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 46.

The spelling of 111680913413251 in words is "one hundred eleven trillion, six hundred eighty billion, nine hundred thirteen million, four hundred thirteen thousand, two hundred fifty-one".

Divisors: 1 7 13 37 79 91 151 169 259 481 553 1027 1057 1183 1963 2197 2923 3367 5587 6253 7189 11929 13351 13741 15379 16453 20461 25519 37999 39109 43771 72631 81289 83503 93457 115171 155077 173563 178633 213889 265993 331747 441373 493987 508417 569023 608761 944203 1085539 1214941 1299787 1497223 2016001 2322229 2484403 2780557 3089611 3457909 4261327 5737849 6421831 6609421 7913893 9098509 12274639 14112007 16897231 17390821 19463899 26208013 32297239 36147241 40164943 44952817 48092119 55397251 74592037 85922473 91922911 102880609 118280617 183456091 196267837 219664003 226080673 253030687 336644833 419864107 522144259 625197547 643460377 720164263 969696481 1194997843 1337447917 1373874859 1537648021 2551481881 2855632039 2939048749 4376382829 5458233391 6787875367 7261909969 8127568111 8364984901 9362135419 15534971959 17860373167 19989424273 33169264453 38207633737 50833369783 56892976777 94404829597 105658385443 108744803713 201954635467 232184851171 431200437889 660833807179 739608698101 1227262784761 1413682448269 3018403065223 8590839493327 15954416201893 111680913413251