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131330202030 = 2325311013131489
BaseRepresentation
bin111101001001111100…
…0111101100110101110
3110112222121221111202200
41322103320331212232
54122431012431110
6140155434002330
712326325204246
oct1722370754656
9415877844680
10131330202030
1150773525655
12215522763a6
13c4cc655721
1464dc00cb26
153639a1c6c0
hex1e93e3d9ae

131330202030 has 192 divisors, whose sum is σ = 357340239360. Its totient is φ = 33426432000.

The previous prime is 131330202011. The next prime is 131330202041. The reversal of 131330202030 is 30202033131.

131330202030 is a `hidden beast` number, since 1 + 313 + 302 + 0 + 20 + 30 = 666.

It is a super-2 number, since 2×1313302020302 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 131330201994 and 131330202012.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 88199526 + ... + 88201014.

It is an arithmetic number, because the mean of its divisors is an integer number (1861147080).

Almost surely, 2131330202030 is an apocalyptic number.

131330202030 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 131330202030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178670119680).

131330202030 is an abundant number, since it is smaller than the sum of its proper divisors (226010037330).

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

131330202030 is a wasteful number, since it uses less digits than its factorization.

131330202030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1947 (or 1944 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 131330202030 its reverse (30202033131), we get a palindrome (161532235161).

The spelling of 131330202030 in words is "one hundred thirty-one billion, three hundred thirty million, two hundred two thousand, thirty".