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131222100000 = 253552915083
BaseRepresentation
bin111101000110101110…
…0100101100000100000
3110112201002112100122210
41322031130211200200
54122220324200000
6140141013002120
712323543306055
oct1721534454040
9415632470583
10131222100000
11507184aaa32
1221522023340
13c4b3136224
1464cb90d02c
1536302b7350
hex1e8d725820

131222100000 has 288 divisors, whose sum is σ = 445420866240. Its totient is φ = 33783680000.

The previous prime is 131222099999. The next prime is 131222100007. The reversal of 131222100000 is 1222131.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (131222100007) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8692459 + ... + 8707541.

It is an arithmetic number, because the mean of its divisors is an integer number (1546600230).

Almost surely, 2131222100000 is an apocalyptic number.

131222100000 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 131222100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222710433120).

131222100000 is an abundant number, since it is smaller than the sum of its proper divisors (314198766240).

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

131222100000 is an equidigital number, since it uses as much as digits as its factorization.

131222100000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15150 (or 15122 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 131222100000 its reverse (1222131), we get a palindrome (131223322131).

The spelling of 131222100000 in words is "one hundred thirty-one billion, two hundred twenty-two million, one hundred thousand".