Search a number
-
+
121102211131230 = 235729133183149309
BaseRepresentation
bin11011100010010001001110…
…010001101010011101011110
3120212210020222022110220111110
4123202101032101222131132
5111333114312022144410
61105321330542402450
734336226454211350
oct3342211621523536
9525706868426443
10121102211131230
113565018306788a
12116ba505590426
135275b74333004
1421c95420710d0
15e0022e2c1720
hex6e244e46a75e

121102211131230 has 128 divisors (see below), whose sum is σ = 343624948531200. Its totient is φ = 26725625547264.

The previous prime is 121102211131229. The next prime is 121102211131331. The reversal of 121102211131230 is 32131112201121.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 121102211131197 and 121102211131206.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 811009816 + ... + 811159124.

It is an arithmetic number, because the mean of its divisors is an integer number (2684569910400).

Almost surely, 2121102211131230 is an apocalyptic number.

121102211131230 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

121102211131230 is an abundant number, since it is smaller than the sum of its proper divisors (222522737399970).

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

121102211131230 is a wasteful number, since it uses less digits than its factorization.

121102211131230 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 282538.

The product of its (nonzero) digits is 144, while the sum is 21.

Adding to 121102211131230 its reverse (32131112201121), we get a palindrome (153233323332351).

The spelling of 121102211131230 in words is "one hundred twenty-one trillion, one hundred two billion, two hundred eleven million, one hundred thirty-one thousand, two hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 29 30 35 42 58 70 87 105 145 174 203 210 290 406 435 609 870 1015 1218 2030 3045 6090 133183 149309 266366 298618 399549 447927 665915 746545 799098 895854 932281 1045163 1331830 1493090 1864562 1997745 2090326 2239635 2796843 3135489 3862307 3995490 4329961 4479270 4661405 5225815 5593686 6270978 7724614 8659922 9322810 10451630 11586921 12989883 13984215 15677445 19311535 21649805 23173842 25979766 27036149 27968430 30309727 31354890 38623070 43299610 54072298 57934605 60619454 64949415 81108447 90929181 115869210 129898830 135180745 151548635 162216894 181858362 270361490 303097270 405542235 454645905 811084470 909291810 19885420547 39770841094 59656261641 99427102735 119312523282 139197943829 198854205470 278395887658 298281308205 417593831487 576677195863 596562616410 695989719145 835187662974 1153354391726 1391979438290 1730031587589 2087969157435 2883385979315 3460063175178 4036740371041 4175938314870 5766771958630 8073480742082 8650157937945 12110221113123 17300315875890 20183701855205 24220442226246 40367403710410 60551105565615 121102211131230