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131002232220 = 2232517432334273
BaseRepresentation
bin111101000000001010…
…1110110110110011100
3110112010202210220202200
41322000111312312130
54121243032412340
6140103120251500
712315233413116
oct1720025666634
9415122726680
10131002232220
1150615388022
1221480470b90
13c479713a52
1464aa6383b6
15361ad36330
hex1e80576d9c

131002232220 has 288 divisors, whose sum is σ = 432482162112. Its totient is φ = 31969050624.

The previous prime is 131002232209. The next prime is 131002232281. The reversal of 131002232220 is 22232200131.

It is a super-2 number, since 2×1310022322202 (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 = 131002232193 and 131002232202.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 30656004 + ... + 30660276.

It is an arithmetic number, because the mean of its divisors is an integer number (1501674174).

Almost surely, 2131002232220 is an apocalyptic number.

131002232220 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 131002232220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216241081056).

131002232220 is an abundant number, since it is smaller than the sum of its proper divisors (301479929892).

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

131002232220 is a wasteful number, since it uses less digits than its factorization.

131002232220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4581 (or 4576 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 131002232220 its reverse (22232200131), we get a palindrome (153234432351).

The spelling of 131002232220 in words is "one hundred thirty-one billion, two million, two hundred thirty-two thousand, two hundred twenty".