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131043332012340 = 223511198550503049
BaseRepresentation
bin11101110010111011100111…
…010000010011100100110100
3122011222121202010021000101210
4131302323213100103210310
5114134003220443343330
61142412250423521420
736413365633403136
oct3562734720234464
9564877663230353
10131043332012340
113883318a6a0370
12128450aa8b9270
1358174440134c7
142450761523056
151023b100be8b0
hex772ee7413934

131043332012340 has 48 divisors (see below), whose sum is σ = 400277814148800. Its totient is φ = 31768080487680.

The previous prime is 131043332012323. The next prime is 131043332012363. The reversal of 131043332012340 is 43210233340131.

131043332012340 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 (30).

It is a junction number, because it is equal to n+sod(n) for n = 131043332012298 and 131043332012307.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 99275250865 + ... + 99275252184.

It is an arithmetic number, because the mean of its divisors is an integer number (8339121128100).

Almost surely, 2131043332012340 is an apocalyptic number.

131043332012340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131043332012340 is an abundant number, since it is smaller than the sum of its proper divisors (269234482136460).

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

131043332012340 is a wasteful number, since it uses less digits than its factorization.

131043332012340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198550503072 (or 198550503070 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 30.

Adding to 131043332012340 its reverse (43210233340131), we get a palindrome (174253565352471).

The spelling of 131043332012340 in words is "one hundred thirty-one trillion, forty-three billion, three hundred thirty-two million, twelve thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 660 198550503049 397101006098 595651509147 794202012196 992752515245 1191303018294 1985505030490 2184055533539 2382606036588 2978257545735 3971010060980 4368111067078 5956515091470 6552166600617 8736222134156 10920277667695 11913030182940 13104333201234 21840555335390 26208666402468 32760833003085 43681110670780 65521666006170 131043332012340