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121160156868 = 223227773121181
BaseRepresentation
bin111000011010110110…
…1010100011011000100
3102120201212012200112100
41300311231110123010
53441114000004433
6131354334352100
711516314224642
oct1606555243304
9376655180470
10121160156868
1147424828153
121b59435b630
13b56b66b51a
145c15464192
153241c70b13
hex1c35b546c4

121160156868 has 36 divisors (see below), whose sum is σ = 306279506988. Its totient is φ = 40384931520.

The previous prime is 121160156851. The next prime is 121160156891. The reversal of 121160156868 is 868651061121.

121160156868 is a `hidden beast` number, since 1 + 21 + 1 + 6 + 0 + 1 + 568 + 68 = 666.

121160156868 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 90605816064 + 30554340804 = 301008^2 + 174798^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×1211601568682 (a number of 23 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 939238 + ... + 1060418.

It is an arithmetic number, because the mean of its divisors is an integer number (8507764083).

Almost surely, 2121160156868 is an apocalyptic number.

121160156868 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

121160156868 is an abundant number, since it is smaller than the sum of its proper divisors (185119350120).

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

121160156868 is a wasteful number, since it uses less digits than its factorization.

121160156868 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148964 (or 148959 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 45.

The spelling of 121160156868 in words is "one hundred twenty-one billion, one hundred sixty million, one hundred fifty-six thousand, eight hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 27773 55546 83319 111092 121181 166638 242362 249957 333276 363543 484724 499914 727086 999828 1090629 1454172 2181258 4362516 3365559913 6731119826 10096679739 13462239652 20193359478 30290039217 40386718956 60580078434 121160156868