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121322410131 = 313231031313141
BaseRepresentation
bin111000011111101100…
…0010001000010010011
3102121011011112000011110
41300333120101002103
53441432014111011
6131422412144403
711523324320346
oct1607730210223
9377134460143
10121322410131
11474a837945a
121b61a768103
13b59616a780
145c2cc1c45d
153251120ba6
hex1c3f611093

121322410131 has 32 divisors (see below), whose sum is σ = 183545736192. Its totient is φ = 70720467840.

The previous prime is 121322410129. The next prime is 121322410141. The reversal of 121322410131 is 131014223121.

It is not a de Polignac number, because 121322410131 - 21 = 121322410129 is a prime.

It is a super-2 number, since 2×1213224101312 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 121322410098 and 121322410107.

It is not an unprimeable number, because it can be changed into a prime (121322410141) 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, 564180 + ... + 748961.

It is an arithmetic number, because the mean of its divisors is an integer number (5735804256).

Almost surely, 2121322410131 is an apocalyptic number.

121322410131 is a deficient number, since it is larger than the sum of its proper divisors (62223326061).

121322410131 is a wasteful number, since it uses less digits than its factorization.

121322410131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1313283.

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 121322410131 its reverse (131014223121), we get a palindrome (252336633252).

The spelling of 121322410131 in words is "one hundred twenty-one billion, three hundred twenty-two million, four hundred ten thousand, one hundred thirty-one".

Divisors: 1 3 13 23 39 69 103 299 309 897 1339 2369 4017 7107 30797 92391 1313141 3939423 17070833 30202243 51212499 90606729 135253523 392629159 405760569 1177887477 1758295799 3110831029 5274887397 9332493087 40440803377 121322410131