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131201421001001 = 132941167178928411
BaseRepresentation
bin11101110101001110110110…
…000101111100000100101001
3122012112201210121120201122222
4131311032312011330010221
5114144101002234013001
61143013033431323425
736430663343545541
oct3565166605740451
9565481717521588
10131201421001001
113889423481740a
121286b86a520575
135829319392590
14245827b304321
151027cb3dc661b
hex7753b617c129

131201421001001 has 64 divisors (see below), whose sum is σ = 150717159129600. Its totient is φ = 113330317363200.

The previous prime is 131201421000973. The next prime is 131201421001003. The reversal of 131201421001001 is 100100124102131.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-131201421001001 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (131201421001003) 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, 4617965486 + ... + 4617993896.

It is an arithmetic number, because the mean of its divisors is an integer number (2354955611400).

Almost surely, 2131201421001001 is an apocalyptic number.

It is an amenable number.

131201421001001 is a deficient number, since it is larger than the sum of its proper divisors (19515738128599).

131201421001001 is a wasteful number, since it uses less digits than its factorization.

131201421001001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30450.

The product of its (nonzero) digits is 48, while the sum is 17.

Adding to 131201421001001 its reverse (100100124102131), we get a palindrome (231301545103132).

The spelling of 131201421001001 in words is "one hundred thirty-one trillion, two hundred one billion, four hundred twenty-one million, one thousand, one".

Divisors: 1 13 29 41 167 377 533 1189 1789 2171 4843 6847 15457 23257 28411 51881 62959 73349 89011 198563 298763 369343 674453 823919 953537 1164851 2127121 2581319 3883919 4744637 8664127 10710947 12249283 15143063 27652573 33780679 50827279 61680281 112633651 137594473 159240679 194530117 355229207 439148827 660754627 1473991091 1788728149 2083918439 2528891521 4617979691 5641373393 8488155593 19161884183 27090939707 60433634731 73337854109 110346022709 246156512197 348014379313 785637251503 3200034658561 4524186931069 10092417000077 131201421001001