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131000344303221 = 33371216311078109
BaseRepresentation
bin11101110010010011100100…
…111111001101011001110101
3122011211111210020022010111000
4131302103210333031121311
5114132302201120200341
61142340421040033513
736410314440040131
oct3562234477153165
9564744706263430
10131000344303221
1138816a30207238
12128388b2302899
135813382c90c33
14244c64422c3c1
1510229461708b6
hex7724e4fcd675

131000344303221 has 32 divisors (see below), whose sum is σ = 199321666790400. Its totient is φ = 84972418873920.

The previous prime is 131000344303187. The next prime is 131000344303247. The reversal of 131000344303221 is 122303443000131.

It is a happy number.

131000344303221 is a `hidden beast` number, since 1 + 3 + 1 + 0 + 0 + 0 + 3 + 4 + 430 + 3 + 221 = 666.

It is not a de Polignac number, because 131000344303221 - 210 = 131000344302197 is a prime.

It is a super-3 number, since 3×1310003443032213 (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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 (131000344323221) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 120970315 + ... + 122048423.

It is an arithmetic number, because the mean of its divisors is an integer number (6228802087200).

Almost surely, 2131000344303221 is an apocalyptic number.

It is an amenable number.

131000344303221 is a deficient number, since it is larger than the sum of its proper divisors (68321322487179).

131000344303221 is a wasteful number, since it uses less digits than its factorization.

131000344303221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1199786 (or 1199780 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 131000344303221 its reverse (122303443000131), we get a palindrome (253303787303352).

The spelling of 131000344303221 in words is "one hundred thirty-one trillion, three hundred forty-four million, three hundred three thousand, two hundred twenty-one".

Divisors: 1 3 9 27 37 111 333 999 121631 364893 1078109 1094679 3234327 3284037 4500347 9702981 13501041 29108943 39890033 40503123 119670099 121509369 359010297 1077030891 131131475779 393394427337 1180183282011 3540549846033 4851864603823 14555593811469 43666781434407 131000344303221