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131120022000 = 243531110971811
BaseRepresentation
bin111101000011101011…
…1001100000111110000
3110112102222110020222010
41322013113030013300
54122013211201000
6140122525042520
712321163540422
oct1720727140760
9415388406863
10131120022000
115067591a250
12214b39b6440
13c497c45946
1464bc13a812
153626351d50
hex1e875cc1f0

131120022000 has 320 divisors, whose sum is σ = 461836297728. Its totient is φ = 31740160000.

The previous prime is 131120021971. The next prime is 131120022107. The reversal of 131120022000 is 220021131.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 72401095 + ... + 72402905.

Almost surely, 2131120022000 is an apocalyptic number.

131120022000 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 131120022000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230918148864).

131120022000 is an abundant number, since it is smaller than the sum of its proper divisors (330716275728).

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

131120022000 is a wasteful number, since it uses less digits than its factorization.

131120022000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2945 (or 2929 counting only the distinct ones).

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

Adding to 131120022000 its reverse (220021131), we get a palindrome (131340043131).

The spelling of 131120022000 in words is "one hundred thirty-one billion, one hundred twenty million, twenty-two thousand".