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131103434220 = 223511379295779
BaseRepresentation
bin111101000011001011…
…1111010010111101100
3110112101211020111210220
41322012113322113230
54121444434343340
6140121133331340
712320602542513
oct1720627722754
9415354214726
10131103434220
115066751a640
12214aa336b50
13c4946886a5
1464b9c5d67a
153624b76ed0
hex1e865fa5ec

131103434220 has 192 divisors, whose sum is σ = 411798643200. Its totient is φ = 30885027840.

The previous prime is 131103434213. The next prime is 131103434227. The reversal of 131103434220 is 22434301131.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (131103434213) and next prime (131103434227).

It is a super-2 number, since 2×1311034342202 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (131103434227) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 22683291 + ... + 22689069.

It is an arithmetic number, because the mean of its divisors is an integer number (2144784600).

Almost surely, 2131103434220 is an apocalyptic number.

131103434220 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 131103434220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205899321600).

131103434220 is an abundant number, since it is smaller than the sum of its proper divisors (280695208980).

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

131103434220 is a wasteful number, since it uses less digits than its factorization.

131103434220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6768 (or 6766 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 131103434220 its reverse (22434301131), we get a palindrome (153537735351).

The spelling of 131103434220 in words is "one hundred thirty-one billion, one hundred three million, four hundred thirty-four thousand, two hundred twenty".