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13141022220 = 223256771103149
BaseRepresentation
bin11000011110100010…
…00001011000001100
31020220211011002120200
430033101001120030
5203403100202340
610011545413500
7643434563064
oct141721013014
936824132520
1013141022220
115633845547
122668a9a290
1313156793c1
148c93983a4
1551da0b330
hex30f44160c

13141022220 has 288 divisors, whose sum is σ = 41702169600. Its totient is φ = 3347688960.

The previous prime is 13141022197. The next prime is 13141022243. The reversal of 13141022220 is 2222014131.

It is a happy number.

13141022220 is a `hidden beast` number, since 1 + 31 + 410 + 2 + 2 + 220 = 666.

It is an interprime number because it is at equal distance from previous prime (13141022197) and next prime (13141022243).

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 = 13141022193 and 13141022202.

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 95 ways as a sum of consecutive naturals, for example, 88194706 + ... + 88194854.

It is an arithmetic number, because the mean of its divisors is an integer number (144799200).

Almost surely, 213141022220 is an apocalyptic number.

13141022220 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 13141022220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20851084800).

13141022220 is an abundant number, since it is smaller than the sum of its proper divisors (28561147380).

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

13141022220 is a wasteful number, since it uses less digits than its factorization.

13141022220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 405 (or 400 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 13141022220 its reverse (2222014131), we get a palindrome (15363036351).

The spelling of 13141022220 in words is "thirteen billion, one hundred forty-one million, twenty-two thousand, two hundred twenty".