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12102151106070 = 23251093230938183
BaseRepresentation
bin1011000000011100000001…
…1010101110111000010110
31120211221202201101221211100
42300013000122232320112
53041240201140343240
641423352414450530
72356231405050204
oct260070032567026
946757681357740
1012102151106070
113946547884813
121435589b03a46
1369a2c6a71b4c
142dba665d0074
1515ec10e19e30
hexb01c06aee16

12102151106070 has 96 divisors (see below), whose sum is σ = 31756082529600. Its totient is φ = 3197449873152.

The previous prime is 12102151106063. The next prime is 12102151106081. The reversal of 12102151106070 is 7060115120121.

12102151106070 is a `hidden beast` number, since 1 + 2 + 1 + 0 + 2 + 1 + 51 + 1 + 0 + 607 + 0 = 666.

It is a super-2 number, since 2×121021511060702 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 316932199 + ... + 316970381.

It is an arithmetic number, because the mean of its divisors is an integer number (330792526350).

Almost surely, 212102151106070 is an apocalyptic number.

12102151106070 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12102151106070 is an abundant number, since it is smaller than the sum of its proper divisors (19653931423530).

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

12102151106070 is a wasteful number, since it uses less digits than its factorization.

12102151106070 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70614 (or 70611 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 27.

Adding to 12102151106070 its reverse (7060115120121), we get a palindrome (19162266226191).

The spelling of 12102151106070 in words is "twelve trillion, one hundred two billion, one hundred fifty-one million, one hundred six thousand, seventy".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 109 218 327 545 654 981 1090 1635 1962 3270 4905 9810 32309 38183 64618 76366 96927 114549 161545 190915 193854 229098 290781 323090 343647 381830 484635 572745 581562 687294 969270 1145490 1453905 1718235 2907810 3436470 3521681 4161947 7043362 8323894 10565043 12485841 17608405 20809735 21130086 24971682 31695129 35216810 37457523 41619470 52825215 62429205 63390258 74915046 105650430 124858410 158475645 187287615 316951290 374575230 1233654547 2467309094 3700963641 6168272735 7401927282 11102890923 12336545470 18504818205 22205781846 37009636410 55514454615 111028909230 134468345623 268936691246 403405036869 672341728115 806810073738 1210215110607 1344683456230 2017025184345 2420430221214 4034050368690 6051075553035 12102151106070