Search a number
-
+
131202412341441 = 37113439259348571
BaseRepresentation
bin11101110101001111110001…
…001011100110100011000001
3122012112211100200222001002120
4131311033301023212203001
5114144110020024411231
61143013320043234453
736431030042032110
oct3565176113464301
9565484320861076
10131202412341441
11388946a3366131
121286baa6518a29
13582944688a05c
142458332c39c77
151027d20e46d96
hex7753f12e68c1

131202412341441 has 64 divisors (see below), whose sum is σ = 202238327132160. Its totient is φ = 74109943111680.

The previous prime is 131202412341433. The next prime is 131202412341457. The reversal of 131202412341441 is 144143214202131.

It is not a de Polignac number, because 131202412341441 - 23 = 131202412341433 is a prime.

It is not an unprimeable number, because it can be changed into a prime (131202412341421) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2701225686 + ... + 2701274256.

It is an arithmetic number, because the mean of its divisors is an integer number (3159973861440).

Almost surely, 2131202412341441 is an apocalyptic number.

It is an amenable number.

131202412341441 is a deficient number, since it is larger than the sum of its proper divisors (71035914790719).

131202412341441 is a wasteful number, since it uses less digits than its factorization.

131202412341441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51726.

The product of its (nonzero) digits is 18432, while the sum is 33.

Adding to 131202412341441 its reverse (144143214202131), we get a palindrome (275345626543572).

The spelling of 131202412341441 in words is "one hundred thirty-one trillion, two hundred two billion, four hundred twelve million, three hundred forty-one thousand, four hundred forty-one".

Divisors: 1 3 7 21 113 339 439 791 1317 2373 2593 3073 7779 9219 18151 48571 49607 54453 145713 148821 293009 339997 347249 879027 1019991 1041747 1138327 2051063 3414981 5488523 6153189 7968289 16465569 21322669 23904867 38419661 63968007 115258983 125944603 128630951 149258683 377833809 385892853 447776049 881612221 900416657 2409461597 2644836663 2701249971 7228384791 14231740139 16866231179 42695220417 50598693537 55289680717 99622180973 165869042151 298866542919 387027765019 1161083295057 6247733921021 18743201763063 43734137447147 131202412341441