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131222102220 = 2233511251283311
BaseRepresentation
bin111101000110101110…
…0100110000011001100
3110112201002112110201000
41322031130212003030
54122220324232340
6140141013020300
712323543315406
oct1721534460314
9415632473630
10131222102220
1150718501670
1221522024690
13c4b3137241
1464cb90db76
1536302b7d30
hex1e8d7260cc

131222102220 has 384 divisors, whose sum is σ = 450156994560. Its totient is φ = 31471200000.

The previous prime is 131222102203. The next prime is 131222102237. The reversal of 131222102220 is 22201222131.

It is an interprime number because it is at equal distance from previous prime (131222102203) and next prime (131222102237).

It is a super-2 number, since 2×1312221022202 (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 = 131222102193 and 131222102202.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 421935865 + ... + 421936175.

It is an arithmetic number, because the mean of its divisors is an integer number (1172283840).

Almost surely, 2131222102220 is an apocalyptic number.

131222102220 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 131222102220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225078497280).

131222102220 is an abundant number, since it is smaller than the sum of its proper divisors (318934892340).

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

131222102220 is a wasteful number, since it uses less digits than its factorization.

131222102220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 874 (or 866 counting only the distinct ones).

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

Adding to 131222102220 its reverse (22201222131), we get a palindrome (153423324351).

The spelling of 131222102220 in words is "one hundred thirty-one billion, two hundred twenty-two million, one hundred two thousand, two hundred twenty".