Search a number
-
+
131001203231121 = 3193898117285007
BaseRepresentation
bin11101110010010100011000…
…001011110000100110010001
3122011211121000002112012001110
4131302110120023300212101
5114132310431011343441
61142341042201523533
736410344636564116
oct3562243013604621
9564747002465043
10131001203231121
1138817331036503
1212838ab1aa35a9
13581348bc06ab2
14244c6c633690d
151022996787b16
hex7725182f0991

131001203231121 has 32 divisors (see below), whose sum is σ = 184561306675200. Its totient is φ = 82423140684480.

The previous prime is 131001203231077. The next prime is 131001203231149. The reversal of 131001203231121 is 121132302100131.

It is not a de Polignac number, because 131001203231121 - 211 = 131001203229073 is a prime.

It is a super-3 number, since 3×1310012032311213 (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 (131001203231221) 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, 14339800 + ... + 21624806.

It is an arithmetic number, because the mean of its divisors is an integer number (5767540833600).

Almost surely, 2131001203231121 is an apocalyptic number.

It is an amenable number.

131001203231121 is a deficient number, since it is larger than the sum of its proper divisors (53560103444079).

131001203231121 is a wasteful number, since it uses less digits than its factorization.

131001203231121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7286229.

The product of its (nonzero) digits is 216, while the sum is 21.

Adding to 131001203231121 its reverse (121132302100131), we get a palindrome (252133505331252).

The spelling of 131001203231121 in words is "one hundred thirty-one trillion, one billion, two hundred three million, two hundred thirty-one thousand, one hundred twenty-one".

Divisors: 1 3 19 57 389 811 1167 2433 7391 15409 22173 46227 315479 946437 5994101 7285007 17982303 21855021 138415133 415245399 2833867723 5908140677 8501603169 17724422031 53843486737 112254672863 161530460211 336764018589 2298266723353 6894800170059 43667067743707 131001203231121