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131453344340 = 22553352935141
BaseRepresentation
bin111101001101100111…
…0101101101001010100
3110120022012122210020222
41322123032231221110
54123204024004330
6140215553213512
712332351663603
oct1723316555124
9416265583228
10131453344340
1150826a9325a
1221587561298
13c51c00c9b6
146510505a3a
1536457440e5
hex1e9b3ada54

131453344340 has 48 divisors (see below), whose sum is σ = 281348257680. Its totient is φ = 51573150720.

The previous prime is 131453344313. The next prime is 131453344357. The reversal of 131453344340 is 43443354131.

It can be written as a sum of positive squares in 8 ways, for example, as 7198504336 + 124254840004 = 84844^2 + 352498^2 .

It is a super-2 number, since 2×1314533443402 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 131453344340.

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, 3723170 + ... + 3758310.

It is an arithmetic number, because the mean of its divisors is an integer number (5861422035).

Almost surely, 2131453344340 is an apocalyptic number.

131453344340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131453344340 is an abundant number, since it is smaller than the sum of its proper divisors (149894913340).

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

131453344340 is a wasteful number, since it uses less digits than its factorization.

131453344340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38732 (or 38730 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 35.

Adding to 131453344340 its reverse (43443354131), we get a palindrome (174896698471).

The spelling of 131453344340 in words is "one hundred thirty-one billion, four hundred fifty-three million, three hundred forty-four thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 53 106 212 265 530 1060 3529 7058 14116 17645 35141 35290 70282 70580 140564 175705 187037 351410 374074 702820 748148 935185 1862473 1870370 3724946 3740740 7449892 9312365 18624730 37249460 124012589 248025178 496050356 620062945 1240125890 2480251780 6572667217 13145334434 26290668868 32863336085 65726672170 131453344340