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131520030 = 23553181457
BaseRepresentation
bin1111101011011…
…01011000011110
3100011110220120020
413311231120132
5232132120110
621014533010
73154621215
oct765553036
9304426506
10131520030
116826aa44
1238067166
132132b605
141367807c
15b82dd70
hex7d6d61e

131520030 has 64 divisors (see below), whose sum is σ = 324088128. Its totient is φ = 34145280.

The previous prime is 131519989. The next prime is 131520031. The reversal of 131520030 is 30025131.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a junction number, because it is equal to n+sod(n) for n = 131519991 and 131520009.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131520031) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 287562 + ... + 288018.

It is an arithmetic number, because the mean of its divisors is an integer number (5063877).

Almost surely, 2131520030 is an apocalyptic number.

131520030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 131520030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162044064).

131520030 is an abundant number, since it is smaller than the sum of its proper divisors (192568098).

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

131520030 is a wasteful number, since it uses less digits than its factorization.

131520030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 701.

The product of its (nonzero) digits is 90, while the sum is 15.

The square root of 131520030 is about 11468.2182574278. The cubic root of 131520030 is about 508.5464571410.

Adding to 131520030 its reverse (30025131), we get a palindrome (161545161).

The spelling of 131520030 in words is "one hundred thirty-one million, five hundred twenty thousand, thirty".

Divisors: 1 2 3 5 6 10 15 30 53 106 159 181 265 318 362 457 530 543 795 905 914 1086 1371 1590 1810 2285 2715 2742 4570 5430 6855 9593 13710 19186 24221 28779 47965 48442 57558 72663 82717 95930 121105 143895 145326 165434 242210 248151 287790 363315 413585 496302 726630 827170 1240755 2481510 4384001 8768002 13152003 21920005 26304006 43840010 65760015 131520030