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131402241232340 = 22513827611116367
BaseRepresentation
bin11101111000001001110111…
…111010010100110111010100
3122020020221011010021111000212
4131320021313322110313110
5114210343242223413330
61143245204542024552
736451333014420551
oct3570116772246724
9566227133244025
10131402241232340
1138961417587551
12128a2774878158
1358422415c9130
142463c8c2d9a28
15102d11936c295
hex778277e94dd4

131402241232340 has 48 divisors (see below), whose sum is σ = 297530559389952. Its totient is φ = 48459083358336.

The previous prime is 131402241232333. The next prime is 131402241232343. The reversal of 131402241232340 is 43232142204131.

It is a happy number.

It is a super-3 number, since 3×1314022412323403 (a number of 43 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 131402241232297 and 131402241232306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131402241232343) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 305343164 + ... + 305773203.

It is an arithmetic number, because the mean of its divisors is an integer number (6198553320624).

Almost surely, 2131402241232340 is an apocalyptic number.

131402241232340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131402241232340 is an abundant number, since it is smaller than the sum of its proper divisors (166128318157612).

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

131402241232340 is a wasteful number, since it uses less digits than its factorization.

131402241232340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 611117216 (or 611117214 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 32.

Adding to 131402241232340 its reverse (43232142204131), we get a palindrome (174634383436471).

The spelling of 131402241232340 in words is "one hundred thirty-one trillion, four hundred two billion, two hundred forty-one million, two hundred thirty-two thousand, three hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 827 1654 3308 4135 8270 10751 16540 21502 43004 53755 107510 215020 611116367 1222232734 2444465468 3055581835 6111163670 7944512771 12222327340 15889025542 31778051084 39722563855 79445127710 158890255420 505393235509 1010786471018 2021572942036 2526966177545 5053932355090 6570112061617 10107864710180 13140224123234 26280448246468 32850560308085 65701120616170 131402241232340