Search a number
-
+
121486759103710 = 257112131103321761
BaseRepresentation
bin11011100111110111010111…
…000111110000110011011110
3120221011000120010022221121201
4123213313113013300303132
5111410414340312304320
61110214125140150114
734406062100100430
oct3347672707606336
9527130503287551
10121486759103710
11357892773a7200
1211760b4599833a
1352a31c95987b0
1421dddc1d84650
15e0a23936670a
hex6e7dd71f0cde

121486759103710 has 96 divisors (see below), whose sum is σ = 295831457401536. Its totient is φ = 34953233356800.

The previous prime is 121486759103681. The next prime is 121486759103741. The reversal of 121486759103710 is 17301957684121.

121486759103710 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (55).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 551550771 + ... + 551770990.

It is an arithmetic number, because the mean of its divisors is an integer number (3081577681266).

It is a 1-persistent number, because it is pandigital, but 2⋅121486759103710 = 242973518207420 is not.

Almost surely, 2121486759103710 is an apocalyptic number.

121486759103710 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

121486759103710 is an abundant number, since it is smaller than the sum of its proper divisors (174344698297826).

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

121486759103710 is a wasteful number, since it uses less digits than its factorization.

121486759103710 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1103321810 (or 1103321799 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 55.

The spelling of 121486759103710 in words is "one hundred twenty-one trillion, four hundred eighty-six billion, seven hundred fifty-nine million, one hundred three thousand, seven hundred ten".

Divisors: 1 2 5 7 10 11 13 14 22 26 35 55 65 70 77 91 110 121 130 143 154 182 242 286 385 455 605 715 770 847 910 1001 1210 1430 1573 1694 2002 3146 4235 5005 7865 8470 10010 11011 15730 22022 55055 110110 1103321761 2206643522 5516608805 7723252327 11033217610 12136539371 14343182893 15446504654 24273078742 28686365786 38616261635 60682696855 71715914465 77232523270 84955775597 100402280251 121365393710 133501933081 143431828930 157775011823 169911551194 200804560502 267003866162 315550023646 424778877985 502011401255 667509665405 788875059115 849557755970 934513531567 1004022802510 1104425082761 1335019330810 1577750118230 1735525130053 1869027063134 2208850165522 3471050260106 4672567657835 5522125413805 8677625650265 9345135315670 11044250827610 12148675910371 17355251300530 24297351820742 60743379551855 121486759103710