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131000343114411 = 33372333460312211
BaseRepresentation
bin11101110010010011100100…
…111010101011001010101011
3122011211111210011001201202000
4131302103210322223022223
5114132302200314130121
61142340420554342043
736410314423656201
oct3562234472531253
9564744704051660
10131000343114411
1138816a2a575051
12128388b1a2a923
135813382965ab4
14244c643ddd071
151022945ed8526
hex7724e4eab2ab

131000343114411 has 64 divisors (see below), whose sum is σ = 199464930608640. Its totient is φ = 84911366517120.

The previous prime is 131000343114409. The next prime is 131000343114419. The reversal of 131000343114411 is 114411343000131.

131000343114411 is a `hidden beast` number, since 1 + 3 + 100 + 0 + 34 + 3 + 114 + 411 = 666.

It is not a de Polignac number, because 131000343114411 - 21 = 131000343114409 is a prime.

It is a super-2 number, since 2×1310003431144112 (a number of 29 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (131000343114419) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10728054096 + ... + 10728066306.

It is an arithmetic number, because the mean of its divisors is an integer number (3116639540760).

Almost surely, 2131000343114411 is an apocalyptic number.

131000343114411 is a deficient number, since it is larger than the sum of its proper divisors (68464587494229).

131000343114411 is a wasteful number, since it uses less digits than its factorization.

131000343114411 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19193 (or 19187 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

Adding to 131000343114411 its reverse (114411343000131), we get a palindrome (245411686114542).

The spelling of 131000343114411 in words is "one hundred thirty-one trillion, three hundred forty-three million, one hundred fourteen thousand, four hundred eleven".

Divisors: 1 3 9 27 37 111 333 999 2333 4603 6999 12211 13809 20997 36633 41427 62991 86321 109899 124281 170311 258963 329697 451807 510933 776889 1355421 1532799 2330667 4066263 4598397 10738799 12198789 28488263 32216397 56207233 85464789 96649191 168621699 256394367 289947573 397335563 505865097 769183101 1054065731 1192006689 1517595291 2079667621 3162197193 3576020067 6239002863 9486591579 10728060201 18717008589 28459774737 56151025767 131131474589 393394423767 1180183271301 3540549813903 4851864559793 14555593679379 43666781038137 131000343114411