Search a number
-
+
120267116057110 = 25112611629414931
BaseRepresentation
bin11011010110000111011110…
…101110110001001000010110
3120202211102110002202200101211
4123112013132232301020112
5111230424023202311420
61103441541141012034
734222004152205101
oct3326073656611026
9522742402680354
10120267116057110
1135358aa7725500
12115a46a59b401a
1352151a95552b9
14219ad60b31738
15dd8654e1de5a
hex6d61debb1216

120267116057110 has 48 divisors (see below), whose sum is σ = 241850799526896. Its totient is φ = 43016554152000.

The previous prime is 120267116057003. The next prime is 120267116057117. The reversal of 120267116057110 is 11750611762021.

It is a happy number.

120267116057110 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120267116057117) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 814633656 + ... + 814781275.

It is an arithmetic number, because the mean of its divisors is an integer number (5038558323477).

Almost surely, 2120267116057110 is an apocalyptic number.

120267116057110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

120267116057110 is an abundant number, since it is smaller than the sum of its proper divisors (121583683469786).

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

120267116057110 is a wasteful number, since it uses less digits than its factorization.

120267116057110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1629415021 (or 1629415010 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 40.

The spelling of 120267116057110 in words is "one hundred twenty trillion, two hundred sixty-seven billion, one hundred sixteen million, fifty-seven thousand, one hundred ten".

Divisors: 1 2 5 10 11 22 55 61 110 121 122 242 305 605 610 671 1210 1342 3355 6710 7381 14762 36905 73810 1629414931 3258829862 8147074655 16294149310 17923564241 35847128482 89617821205 99394310791 179235642410 197159206651 198788621582 394318413302 496971553955 985796033255 993943107910 1093337418701 1971592066510 2186674837402 5466687093505 10933374187010 12026711605711 24053423211422 60133558028555 120267116057110