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121541431311 = 33233369979
BaseRepresentation
bin111000100110001101…
…1110001000000001111
3102121201102122102202000
41301030123301000033
53442404101300221
6131500234403343
711531624056146
oct1611433610017
9377642572660
10121541431311
11475aaa732a3
121b67bb90553
13b5cc6547c1
145c4dd5275d
153265485e26
hex1c4c6f100f

121541431311 has 32 divisors (see below), whose sum is σ = 188245824000. Its totient is φ = 77504471352.

The previous prime is 121541431307. The next prime is 121541431367. The reversal of 121541431311 is 113134145121.

121541431311 is a `hidden beast` number, since 1 + 215 + 4 + 1 + 431 + 3 + 11 = 666.

It is not a de Polignac number, because 121541431311 - 22 = 121541431307 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121541431111) 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 31 ways as a sum of consecutive naturals, for example, 143520 + ... + 513498.

It is an arithmetic number, because the mean of its divisors is an integer number (5882682000).

Almost surely, 2121541431311 is an apocalyptic number.

121541431311 is a deficient number, since it is larger than the sum of its proper divisors (66704392689).

121541431311 is an frugal number, since it uses more digits than its factorization.

121541431311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 370057 (or 370005 counting only the distinct ones).

The product of its digits is 1440, while the sum is 27.

Adding to 121541431311 its reverse (113134145121), we get a palindrome (234675576432).

The spelling of 121541431311 in words is "one hundred twenty-one billion, five hundred forty-one million, four hundred thirty-one thousand, three hundred eleven".

Divisors: 1 3 9 23 27 69 207 529 621 1587 4761 12167 14283 36501 109503 328509 369979 1109937 3329811 8509517 9989433 25528551 76585653 195718891 229756959 587156673 1761470019 4501534493 5284410057 13504603479 40513810437 121541431311