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131000230032201 = 3441131301114651
BaseRepresentation
bin11101110010010011011110…
…001011010011001101001001
3122011211111111021021120010000
4131302103132023103031021
5114132301432342012301
61142340401434513213
736410311551536355
oct3562233613231511
9564744437246100
10131000230032201
1138816981758782
121283887bb95809
1358133653c184a
14244c632da4465
15102293b0ec786
hex7724de2d3349

131000230032201 has 40 divisors (see below), whose sum is σ = 201994935313248. Its totient is φ = 84552993720000.

The previous prime is 131000230032181. The next prime is 131000230032209. The reversal of 131000230032201 is 102230032000131.

131000230032201 is a `hidden beast` number, since 1 + 310 + 0 + 0 + 2 + 30 + 0 + 322 + 0 + 1 = 666.

It is not a de Polignac number, because 131000230032201 - 25 = 131000230032169 is a prime.

It is a super-3 number, since 3×1310002300322013 (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (131000230032209) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 150122275 + ... + 150992376.

Almost surely, 2131000230032201 is an apocalyptic number.

It is an amenable number.

131000230032201 is a deficient number, since it is larger than the sum of its proper divisors (70994705281047).

131000230032201 is a wasteful number, since it uses less digits than its factorization.

131000230032201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 301114835 (or 301114826 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 131000230032201 its reverse (102230032000131), we get a palindrome (233230262032332).

The spelling of 131000230032201 in words is "one hundred thirty-one trillion, two hundred thirty million, thirty-two thousand, two hundred one".

Divisors: 1 3 9 27 41 81 123 131 369 393 1107 1179 3321 3537 5371 10611 16113 48339 145017 435051 301114651 903343953 2710031859 8130095577 12345700691 24390286731 37037102073 39446019281 111111306219 118338057843 333333918657 355014173529 1000001755971 1065042520587 1617286790521 3195127561761 4851860371563 14555581114689 43666743344067 131000230032201