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131142314030 = 25713144112433
BaseRepresentation
bin111101000100010110…
…0001110100000101110
3110112111112101210212212
41322020230032200232
54122034413022110
6140125042530422
712321554163650
oct1721054164056
9415445353785
10131142314030
1150687465612
12214bb366a12
13c49c74c3b0
1464c10a06d0
1536282a6e05
hex1e88b0e82e

131142314030 has 32 divisors (see below), whose sum is σ = 290530666944. Its totient is φ = 41504380416.

The previous prime is 131142314027. The next prime is 131142314059. The reversal of 131142314030 is 30413241131.

It is a junction number, because it is equal to n+sod(n) for n = 131142313987 and 131142314005.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 72055307 + ... + 72057126.

It is an arithmetic number, because the mean of its divisors is an integer number (9079083342).

Almost surely, 2131142314030 is an apocalyptic number.

131142314030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

131142314030 is an abundant number, since it is smaller than the sum of its proper divisors (159388352914).

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

131142314030 is a wasteful number, since it uses less digits than its factorization.

131142314030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144112460.

The product of its (nonzero) digits is 864, while the sum is 23.

Adding to 131142314030 its reverse (30413241131), we get a palindrome (161555555161).

The spelling of 131142314030 in words is "one hundred thirty-one billion, one hundred forty-two million, three hundred fourteen thousand, thirty".

Divisors: 1 2 5 7 10 13 14 26 35 65 70 91 130 182 455 910 144112433 288224866 720562165 1008787031 1441124330 1873461629 2017574062 3746923258 5043935155 9367308145 10087870310 13114231403 18734616290 26228462806 65571157015 131142314030