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13011323220 = 223657127487
BaseRepresentation
bin11000001111000100…
…10000100101010100
31020120210002201000000
430013202100211110
5203121344320340
65551033451300
7640301264640
oct140742204524
936523081000
1013011323220
115577609795
122631570b30
1312c483792c
148b6075c20
1551243bd30
hex307890954

13011323220 has 168 divisors, whose sum is σ = 46819713024. Its totient is φ = 2973993408.

The previous prime is 13011323209. The next prime is 13011323257. The reversal of 13011323220 is 2232311031.

It is a super-2 number, since 2×130113232202 (a number of 21 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 = 13011323193 and 13011323202.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 38317 + ... + 165803.

It is an arithmetic number, because the mean of its divisors is an integer number (278688768).

Almost surely, 213011323220 is an apocalyptic number.

13011323220 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 13011323220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23409856512).

13011323220 is an abundant number, since it is smaller than the sum of its proper divisors (33808389804).

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

13011323220 is a wasteful number, since it uses less digits than its factorization.

13011323220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127521 (or 127504 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 13011323220 its reverse (2232311031), we get a palindrome (15243634251).

The spelling of 13011323220 in words is "thirteen billion, eleven million, three hundred twenty-three thousand, two hundred twenty".