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131121311010301 = 353481577713281
BaseRepresentation
bin11101110100000100001111…
…001010100100110111111101
3122012021002000121111112210101
4131310010033022210313331
5114141242421104312201
61142512144304241101
736422126215061413
oct3564041712446775
9565232017445711
10131121311010301
1138863265815727
1212858231910191
1358218c0529711
14245443bad72b3
151025b75e2cd01
hex77410f2a4dfd

131121311010301 has 8 divisors (see below), whose sum is σ = 131495507032824. Its totient is φ = 130747130511360.

The previous prime is 131121311010269. The next prime is 131121311010307. The reversal of 131121311010301 is 103010113121131.

It can be written as a sum of positive squares in 4 ways, for example, as 54259443942201 + 76861867068100 = 7366101^2 + 8767090^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 131121311010301 - 25 = 131121311010269 is a prime.

It is a super-2 number, since 2×1311213110103012 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131121311010307) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13142781 + ... + 20856061.

It is an arithmetic number, because the mean of its divisors is an integer number (16436938379103).

Almost surely, 2131121311010301 is an apocalyptic number.

It is an amenable number.

131121311010301 is a deficient number, since it is larger than the sum of its proper divisors (374196022523).

131121311010301 is an equidigital number, since it uses as much as digits as its factorization.

131121311010301 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7761791.

The product of its (nonzero) digits is 54, while the sum is 19.

Adding to 131121311010301 its reverse (103010113121131), we get a palindrome (234131424131432).

The spelling of 131121311010301 in words is "one hundred thirty-one trillion, one hundred twenty-one billion, three hundred eleven million, ten thousand, three hundred one".

Divisors: 1 353 48157 7713281 16999421 2722788193 371448473117 131121311010301