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131983032588106 = 27192339754339811
BaseRepresentation
bin11110000000100110110001…
…110001100001011101001010
3122022022110021110200022022011
4132000212301301201131022
5114244402222320304411
61144412100152250134
736541313404453420
oct3600466161413512
9568273243608264
10131983032588106
1139065765118357
12129772426a094a
135884c3c7c615b
142484027413110
15103d2acb89c21
hex7809b1c6174a

131983032588106 has 64 divisors (see below), whose sum is σ = 249145864427520. Its totient is φ = 51128109869760.

The previous prime is 131983032588103. The next prime is 131983032588131. The reversal of 131983032588106 is 601885230389131.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (131983032588101) 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, 24741060 + ... + 29598751.

It is an arithmetic number, because the mean of its divisors is an integer number (3892904131680).

Almost surely, 2131983032588106 is an apocalyptic number.

131983032588106 is a deficient number, since it is larger than the sum of its proper divisors (117162831839414).

131983032588106 is a wasteful number, since it uses less digits than its factorization.

131983032588106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54340259.

The product of its (nonzero) digits is 7464960, while the sum is 58.

The spelling of 131983032588106 in words is "one hundred thirty-one trillion, nine hundred eighty-three billion, thirty-two million, five hundred eighty-eight thousand, one hundred six".

Divisors: 1 2 7 14 19 23 38 46 133 161 266 322 397 437 794 874 2779 3059 5558 6118 7543 9131 15086 18262 52801 63917 105602 127834 173489 346978 1214423 2428846 54339811 108679622 380378677 760757354 1032456409 1249815653 2064912818 2499631306 7227194863 8748709571 14454389726 17497419142 21572904967 23746497407 43145809934 47492994814 151010334769 166225481849 302020669538 332450963698 409885194373 496176814241 819770388746 992353628482 2869196360611 3473237699687 5738392721222 6946475399374 9427359470579 18854718941158 65991516294053 131983032588106