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121335533121 = 3112379033991
BaseRepresentation
bin111000100000000101…
…0010100111001000001
3102121012002012201112010
41301000022110321001
53441443344024441
6131424001323133
711523544004655
oct1610012247101
9377162181463
10121335533121
1147504821a00
121b6230364a9
13b598ab395a
145c30876a65
153252364116
hex1c40294e41

121335533121 has 24 divisors (see below), whose sum is σ = 182631182272. Its totient is φ = 71549200800.

The previous prime is 121335533107. The next prime is 121335533159.

121335533121 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 121335533121 - 213 = 121335524929 is a prime.

It is not an unprimeable number, because it can be changed into a prime (121335533171) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4503565 + ... + 4530426.

Almost surely, 2121335533121 is an apocalyptic number.

121335533121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

121335533121 is a deficient number, since it is larger than the sum of its proper divisors (61295649151).

121335533121 is a wasteful number, since it uses less digits than its factorization.

121335533121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9034053 (or 9034042 counting only the distinct ones).

The product of its digits is 8100, while the sum is 30.

It can be divided in two parts, 121335 and 533121, that added together give a palindrome (654456).

The spelling of 121335533121 in words is "one hundred twenty-one billion, three hundred thirty-five million, five hundred thirty-three thousand, one hundred twenty-one".

Divisors: 1 3 11 33 37 111 121 363 407 1221 4477 13431 9033991 27101973 99373901 298121703 334257667 1002773001 1093112911 3279338733 3676834337 11030503011 40445177707 121335533121