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121123102010131 = 13431092298680669
BaseRepresentation
bin11011100010100100101011…
…011110000010101100010011
3120212212020220020100111212001
4123202210223132002230103
5111333440103103311011
61105335103534414431
734340566244565004
oct3342445336025423
9525766806314761
10121123102010131
1135659023459361
1211702575961417
135277b2345c810
1421ca5647bb1ab
15e00a533667c1
hex6e292b782b13

121123102010131 has 32 divisors (see below), whose sum is σ = 135286505816000. Its totient is φ = 107731395491328.

The previous prime is 121123102010093. The next prime is 121123102010177. The reversal of 121123102010131 is 131010201321121.

It is not a de Polignac number, because 121123102010131 - 219 = 121123101485843 is a prime.

It is a super-2 number, since 2×1211231020101312 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 121123102010099 and 121123102010108.

It is not an unprimeable number, because it can be changed into a prime (121123102010191) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9612865 + ... + 18293533.

It is an arithmetic number, because the mean of its divisors is an integer number (4227703306750).

Almost surely, 2121123102010131 is an apocalyptic number.

121123102010131 is a deficient number, since it is larger than the sum of its proper divisors (14163403805869).

121123102010131 is a wasteful number, since it uses less digits than its factorization.

121123102010131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8681063.

The product of its (nonzero) digits is 72, while the sum is 19.

Adding to 121123102010131 its reverse (131010201321121), we get a palindrome (252133303331252).

The spelling of 121123102010131 in words is "one hundred twenty-one trillion, one hundred twenty-three billion, one hundred two million, ten thousand, one hundred thirty-one".

Divisors: 1 13 43 109 229 559 1417 2977 4687 9847 24961 60931 128011 324493 1073323 8680669 13953199 112848697 373268767 946192921 1987873201 4852493971 12300507973 25842351613 40686295603 85478547643 216678178909 528921842839 1111221119359 2816816325817 9317161693087 121123102010131