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131142210301102 = 272111338324433271
BaseRepresentation
bin11101110100010111101100…
…110111000010110010101110
3122012100001222010012112002211
4131310113230313002302232
5114142113221314113402
61142525522200441034
736423466140111400
oct3564275467026256
9565301863175084
10131142210301102
113887110a932190
12128602a4a7917a
13582387130cc90
1424554615d2b70
15102649aad54d7
hex7745ecdc2cae

131142210301102 has 96 divisors (see below), whose sum is σ = 269536910598144. Its totient is φ = 47040886065600.

The previous prime is 131142210301043. The next prime is 131142210301129. The reversal of 131142210301102 is 201103012241131.

131142210301102 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6849274 + ... + 17583997.

It is an arithmetic number, because the mean of its divisors is an integer number (2807676152064).

Almost surely, 2131142210301102 is an apocalyptic number.

131142210301102 is an abundant number, since it is smaller than the sum of its proper divisors (138394700297042).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

131142210301102 is a wasteful number, since it uses less digits than its factorization.

131142210301102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24433694 (or 24433687 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 22.

Adding to 131142210301102 its reverse (201103012241131), we get a palindrome (332245222542233).

The spelling of 131142210301102 in words is "one hundred thirty-one trillion, one hundred forty-two billion, two hundred ten million, three hundred one thousand, one hundred two".

Divisors: 1 2 7 11 13 14 22 26 49 77 91 98 143 154 182 286 383 539 637 766 1001 1078 1274 2002 2681 4213 4979 5362 7007 8426 9958 14014 18767 29491 34853 37534 54769 58982 69706 109538 206437 243971 383383 412874 487942 766766 2683681 5367362 24433271 48866542 171032897 268765981 317632523 342065794 537531962 635265046 1197230279 1881361867 2223427661 2394460558 3493957753 3762723734 4446855322 6987915506 9357942793 13169533069 15563993627 18715885586 24457704271 26339066138 31127987254 48915408542 65505599551 102937370723 121653256309 131011199102 171203929897 205874741446 243306512618 342407859794 458539196857 720561595061 851572794163 917078393714 1338185819399 1441123190122 1703145588326 2676371638798 5043931165427 5961009559141 9367300735793 10087862330854 11922019118282 18734601471586 65571105150551 131142210301102