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131133244401441 = 33193133124911837
BaseRepresentation
bin11101110100001111010110…
…011100110110011100100001
3122012022012211021021121222000
4131310033112130312130201
5114141441341031321231
61142521440354234213
736423031020164262
oct3564172634663441
9565265737247860
10131133244401441
1138868329912057
121285a602285969
135822a7293c0c9
142454c50936969
1510261238e26e6
hex7743d6736721

131133244401441 has 64 divisors (see below), whose sum is σ = 211730693529600. Its totient is φ = 79907205153600.

The previous prime is 131133244401437. The next prime is 131133244401443. The reversal of 131133244401441 is 144104442331131.

131133244401441 is a `hidden beast` number, since 1 + 3 + 1 + 1 + 3 + 3 + 244 + 401 + 4 + 4 + 1 = 666.

It is not a de Polignac number, because 131133244401441 - 22 = 131133244401437 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 131133244401396 and 131133244401405.

It is not an unprimeable number, because it can be changed into a prime (131133244401443) 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, 7192026 + ... + 17719811.

It is an arithmetic number, because the mean of its divisors is an integer number (3308292086400).

Almost surely, 2131133244401441 is an apocalyptic number.

It is an amenable number.

131133244401441 is a deficient number, since it is larger than the sum of its proper divisors (80597449128159).

131133244401441 is a wasteful number, since it uses less digits than its factorization.

131133244401441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24912227 (or 24912221 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

Adding to 131133244401441 its reverse (144104442331131), we get a palindrome (275237686732572).

The spelling of 131133244401441 in words is "one hundred thirty-one trillion, one hundred thirty-three billion, two hundred forty-four million, four hundred one thousand, four hundred forty-one".

Divisors: 1 3 9 19 27 31 57 93 171 279 331 513 589 837 993 1767 2979 5301 6289 8937 10261 15903 18867 30783 56601 92349 169803 194959 277047 584877 1754631 5263893 24911837 74735511 224206533 473324903 672619599 772266947 1419974709 2316800841 4259924127 6950402523 8245818047 12779772381 14673071993 20851207569 24737454141 44019215979 74212362423 132057647937 156670542893 222637087269 255620359457 396172943811 470011628679 766861078371 1410034886037 2300583235113 4230104658111 4856786829683 6901749705339 14570360489049 43711081467147 131133244401441