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121133110131 = 321119155341467
BaseRepresentation
bin111000011010000011…
…0001001001101110011
3102120122222022120101100
41300310012021031303
53441040034011011
6131351530535443
711515535306325
oct1606406111563
9376588276340
10121133110131
1147410534580
121b587297583
13b565b8b837
145c11a23615
15323e6cbd56
hex1c34189373

121133110131 has 48 divisors (see below), whose sum is σ = 201056768640. Its totient is φ = 69503650560.

The previous prime is 121133110127. The next prime is 121133110157. The reversal of 121133110131 is 131011331121.

It is not a de Polignac number, because 121133110131 - 22 = 121133110127 is a prime.

It is a super-2 number, since 2×1211331101312 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (121133110531) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2900460 + ... + 2941926.

It is an arithmetic number, because the mean of its divisors is an integer number (4188682680).

Almost surely, 2121133110131 is an apocalyptic number.

121133110131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

121133110131 is a deficient number, since it is larger than the sum of its proper divisors (79923658509).

121133110131 is a wasteful number, since it uses less digits than its factorization.

121133110131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43056 (or 43053 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 18.

Adding to 121133110131 its reverse (131011331121), we get a palindrome (252144441252).

The spelling of 121133110131 in words is "one hundred twenty-one billion, one hundred thirty-three million, one hundred ten thousand, one hundred thirty-one".

Divisors: 1 3 9 11 19 33 57 99 171 209 627 1553 1881 4659 13977 17083 29507 41467 51249 88521 124401 153747 265563 324577 373203 456137 787873 973731 1368411 2363619 2921193 4105233 7090857 8666603 25999809 64398251 77999427 193194753 579584259 708380761 1223566769 2125142283 3670700307 6375426849 11012100921 13459234459 40377703377 121133110131