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131141402211300 = 2235213592332446061
BaseRepresentation
bin11101110100010110111100…
…101100011011001111100100
3122012022222212210122022021220
4131310112330230123033210
5114142110042431230200
61142525310052340340
736423440125342425
oct3564267454331744
9565288783568256
10131141402211300
1138870835776378
12128600ba3146b0
135823772a86b30
1424553c615d64c
15102644ebb14a0
hex7745bcb1b3e4

131141402211300 has 288 divisors, whose sum is σ = 417332617752960. Its totient is φ = 31597616025600.

The previous prime is 131141402211227. The next prime is 131141402211341. The reversal of 131141402211300 is 3112204141131.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 52390270 + ... + 54836330.

It is an arithmetic number, because the mean of its divisors is an integer number (1449071589420).

Almost surely, 2131141402211300 is an apocalyptic number.

131141402211300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131141402211300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208666308876480).

131141402211300 is an abundant number, since it is smaller than the sum of its proper divisors (286191215541660).

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

131141402211300 is a wasteful number, since it uses less digits than its factorization.

131141402211300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2446383 (or 2446376 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

Adding to 131141402211300 its reverse (3112204141131), we get a palindrome (134253606352431).

The spelling of 131141402211300 in words is "one hundred thirty-one trillion, one hundred forty-one billion, four hundred two million, two hundred eleven thousand, three hundred".