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131410434304121 = 72913195316273187
BaseRepresentation
bin11101111000010001100000…
…010000011010100001111001
3122020021201022002222122121212
4131320101200100122201321
5114211012032140212441
61143253041540012505
736452043031401320
oct3570214020324171
9566251262878555
10131410434304121
1138964941335655
12128a4280691135
135842c48b3bbbb
1424644284a10b7
15102d4487a3eeb
hex77846041a879

131410434304121 has 64 divisors (see below), whose sum is σ = 156857851054080. Its totient is φ = 107709967572480.

The previous prime is 131410434304073. The next prime is 131410434304133. The reversal of 131410434304121 is 121403434014131.

It is a happy number.

It is not a de Polignac number, because 131410434304121 - 26 = 131410434304057 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (131410433304121) 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, 41233269290 + ... + 41233272476.

It is an arithmetic number, because the mean of its divisors is an integer number (2450903922720).

Almost surely, 2131410434304121 is an apocalyptic number.

It is an amenable number.

131410434304121 is a deficient number, since it is larger than the sum of its proper divisors (25447416749959).

131410434304121 is a wasteful number, since it uses less digits than its factorization.

131410434304121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5934.

The product of its (nonzero) digits is 13824, while the sum is 32.

Adding to 131410434304121 its reverse (121403434014131), we get a palindrome (252813868318252).

The spelling of 131410434304121 in words is "one hundred thirty-one trillion, four hundred ten billion, four hundred thirty-four million, three hundred four thousand, one hundred twenty-one".

Divisors: 1 7 29 131 203 917 953 1627 3187 3799 6671 11389 22309 26593 27637 47183 92423 124843 193459 213137 330281 417497 646961 873901 1491959 1550531 2922479 3037211 3620447 5185249 6180973 10853717 12107413 21260477 25343129 36296743 43266811 44965399 84751891 88079119 150372221 203119561 314757793 397874641 616553833 679267619 1052605547 1421836927 2785122487 4754873333 4941542297 5890467269 11538364589 19698760951 34590796079 41233270883 80768552123 137891326657 143304726613 647342040907 1003133086291 4531394286349 18772919186303 131410434304121