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131322410001 = 3410715152003
BaseRepresentation
bin111101001001101101…
…1001111010000010001
3110112222002021122010000
41322103123033100101
54122422014110001
6140154555000213
712326202032046
oct1722333172021
9415862248100
10131322410001
115076a093362
122154b739069
13c4cab57b63
1464dad811cd
153638ecda86
hex1e936cf411

131322410001 has 20 divisors (see below), whose sum is σ = 198006388272. Its totient is φ = 86730059448.

The previous prime is 131322409997. The next prime is 131322410003. The reversal of 131322410001 is 100014223131.

It is not a de Polignac number, because 131322410001 - 22 = 131322409997 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (131322410003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 7567335 + ... + 7584668.

Almost surely, 2131322410001 is an apocalyptic number.

It is an amenable number.

131322410001 is a deficient number, since it is larger than the sum of its proper divisors (66683978271).

131322410001 is a wasteful number, since it uses less digits than its factorization.

131322410001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15152122 (or 15152113 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 131322410001 its reverse (100014223131), we get a palindrome (231336633132).

The spelling of 131322410001 in words is "one hundred thirty-one billion, three hundred twenty-two million, four hundred ten thousand, one".

Divisors: 1 3 9 27 81 107 321 963 2889 8667 15152003 45456009 136368027 409104081 1227312243 1621264321 4863792963 14591378889 43774136667 131322410001