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131672820237 = 3727511192721
BaseRepresentation
bin111101010100001001…
…1111100101000001101
3110120212111122022120220
41322220103330220031
54124131220221422
6140253433301553
712340655335200
oct1725023745015
9416774568526
10131672820237
11509299687a2
1221628b648b9
13c5556259aa
146531717937
153659b48e5c
hex1ea84fca0d

131672820237 has 24 divisors (see below), whose sum is σ = 204499343232. Its totient is φ = 75141360000.

The previous prime is 131672820229. The next prime is 131672820239. The reversal of 131672820237 is 732028276131.

It is a happy number.

It is not a de Polignac number, because 131672820237 - 23 = 131672820229 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131672820239) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 485964 + ... + 706757.

It is an arithmetic number, because the mean of its divisors is an integer number (8520805968).

Almost surely, 2131672820237 is an apocalyptic number.

It is an amenable number.

131672820237 is a deficient number, since it is larger than the sum of its proper divisors (72826522995).

131672820237 is a wasteful number, since it uses less digits than its factorization.

131672820237 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1193489 (or 1193482 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 42.

The spelling of 131672820237 in words is "one hundred thirty-one billion, six hundred seventy-two million, eight hundred twenty thousand, two hundred thirty-seven".

Divisors: 1 3 7 21 49 147 751 2253 5257 15771 36799 110397 1192721 3578163 8349047 25047141 58443329 175329987 895733471 2687200413 6270134297 18810402891 43890940079 131672820237