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131201132012340 = 2235131391210119277
BaseRepresentation
bin11101110101001110100100…
…110111100010001100110100
3122012112201001110210120202020
4131311032210313202030310
5114144044404243343330
61143012545025313140
736430653234310155
oct3565164467421464
9565481043716666
10131201132012340
11388940a6683a05
121286b7a97957b0
1358292a154b780
142458250b9992c
151027c98840210
hex7753a4de2334

131201132012340 has 96 divisors (see below), whose sum is σ = 398468075859840. Its totient is φ = 32063320336896.

The previous prime is 131201132012303. The next prime is 131201132012341. The reversal of 131201132012340 is 43210231102131.

131201132012340 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 131201132012340.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131201132012341) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 604951219 + ... + 605168058.

It is an arithmetic number, because the mean of its divisors is an integer number (4150709123540).

Almost surely, 2131201132012340 is an apocalyptic number.

131201132012340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131201132012340 is an abundant number, since it is smaller than the sum of its proper divisors (267266943847500).

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

131201132012340 is a wasteful number, since it uses less digits than its factorization.

131201132012340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1210119441 (or 1210119439 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 131201132012340 its reverse (43210231102131), we get a palindrome (174411363114471).

The spelling of 131201132012340 in words is "one hundred thirty-one trillion, two hundred one billion, one hundred thirty-two million, twelve thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 139 156 195 260 278 390 417 556 695 780 834 1390 1668 1807 2085 2780 3614 4170 5421 7228 8340 9035 10842 18070 21684 27105 36140 54210 108420 1210119277 2420238554 3630357831 4840477108 6050596385 7260715662 12101192770 14521431324 15731550601 18151789155 24202385540 31463101202 36303578310 47194651803 62926202404 72607156620 78657753005 94389303606 157315506010 168206579503 188778607212 235973259015 314631012020 336413159006 471946518030 504619738509 672826318012 841032897515 943893036060 1009239477018 1682065795030 2018478954036 2186685533539 2523098692545 3364131590060 4373371067078 5046197385090 6560056600617 8746742134156 10092394770180 10933427667695 13120113201234 21866855335390 26240226402468 32800283003085 43733710670780 65600566006170 131201132012340