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131100310212000 = 25353269349116371
BaseRepresentation
bin11101110011110000101011…
…011010111000110110100000
3122012012001211000210110100220
4131303300223122320312200
5114140421413403241000
61142454352344243040
736420453621200253
oct3563605332706640
9565161730713326
10131100310212000
1138855369378078
1212854150770480
13581c9246c544c
14245340893709a
1510253473c41a0
hex773c2b6b8da0

131100310212000 has 384 divisors, whose sum is σ = 432320118048000. Its totient is φ = 34730021376000.

The previous prime is 131100310211933. The next prime is 131100310212007. The reversal of 131100310212000 is 212013001131.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (131100310212007) 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, 1126513815 + ... + 1126630185.

It is an arithmetic number, because the mean of its divisors is an integer number (1125833640750).

Almost surely, 2131100310212000 is an apocalyptic number.

131100310212000 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 131100310212000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216160059024000).

131100310212000 is an abundant number, since it is smaller than the sum of its proper divisors (301219807836000).

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

131100310212000 is a wasteful number, since it uses less digits than its factorization.

131100310212000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117017 (or 116999 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 131100310212000 its reverse (212013001131), we get a palindrome (131312323213131).

The spelling of 131100310212000 in words is "one hundred thirty-one trillion, one hundred billion, three hundred ten million, two hundred twelve thousand".