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131303112110001 = 32134723877634499
BaseRepresentation
bin11101110110101101100011…
…010110101110111110110001
3122012220110021122100022100100
4131312231203112232332301
5114202232233200010001
61143131452244543013
736441223343656146
oct3566554326567661
9565813248308310
10131303112110001
11389233787a2757
121288750a6b1a69
135835aa4357720
14245d166bb43cd
15102a76680a586
hex776b635aefb1

131303112110001 has 24 divisors (see below), whose sum is σ = 208595014992000. Its totient is φ = 79082725457376.

The previous prime is 131303112109889. The next prime is 131303112110011. The reversal of 131303112110001 is 100011211303131.

131303112110001 is a `hidden beast` number, since 13 + 130 + 311 + 211 + 0 + 0 + 0 + 1 = 666.

It is not a de Polignac number, because 131303112110001 - 211 = 131303112107953 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (131303112110011) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11938811751 + ... + 11938822748.

It is an arithmetic number, because the mean of its divisors is an integer number (8691458958000).

Almost surely, 2131303112110001 is an apocalyptic number.

It is an amenable number.

131303112110001 is a deficient number, since it is larger than the sum of its proper divisors (77291902881999).

131303112110001 is a wasteful number, since it uses less digits than its factorization.

131303112110001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23877634565 (or 23877634562 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 18.

Adding to 131303112110001 its reverse (100011211303131), we get a palindrome (231314323413132).

The spelling of 131303112110001 in words is "one hundred thirty-one trillion, three hundred three billion, one hundred twelve million, one hundred ten thousand, one".

Divisors: 1 3 9 13 39 47 117 141 423 611 1833 5499 23877634499 71632903497 214898710491 310409248487 931227745461 1122248821453 2793683236383 3366746464359 10100239393077 14589234678889 43767704036667 131303112110001