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131344425155020 = 2257111011453581171
BaseRepresentation
bin11101110111010100000001…
…110011011111100111001100
3122020001101220211010102222211
4131313110001303133213030
5114203421340314430040
61143202443530520204
736444215204031430
oct3567240163374714
9566041824112884
10131344425155020
1138939948948970
121289351a296064
1358399594617ac
1424611658da9c0
15102b88370c8ea
hex777501cdf9cc

131344425155020 has 192 divisors, whose sum is σ = 347527986527232. Its totient is φ = 40505224320000.

The previous prime is 131344425154993. The next prime is 131344425155023. The reversal of 131344425155020 is 20551524443131.

It is not an unprimeable number, because it can be changed into a prime (131344425155023) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 225709035 + ... + 226290205.

It is an arithmetic number, because the mean of its divisors is an integer number (1810041596496).

Almost surely, 2131344425155020 is an apocalyptic number.

131344425155020 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 131344425155020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173763993263616).

131344425155020 is an abundant number, since it is smaller than the sum of its proper divisors (216183561372212).

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

131344425155020 is a wasteful number, since it uses less digits than its factorization.

131344425155020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 582752 (or 582750 counting only the distinct ones).

The product of its (nonzero) digits is 288000, while the sum is 40.

Adding to 131344425155020 its reverse (20551524443131), we get a palindrome (151895949598151).

The spelling of 131344425155020 in words is "one hundred thirty-one trillion, three hundred forty-four billion, four hundred twenty-five million, one hundred fifty-five thousand, twenty".