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130031132000 = 2553711443953
BaseRepresentation
bin111100100011001110…
…1011001110101100000
3110102122002111220200212
41321012131121311200
54112300432211000
6135422510233252
712252202246130
oct1710635316540
9412562456625
10130031132000
1150167203060
122124b1b5828
13c353484b33
146417690ac0
1535b0962c35
hex1e46759d60

130031132000 has 384 divisors, whose sum is σ = 399638873088. Its totient is φ = 40395264000.

The previous prime is 130031131981. The next prime is 130031132039. The reversal of 130031132000 is 231130031.

It is a Harshad number since it is a multiple of its sum of digits (14).

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, 136443524 + ... + 136444476.

It is an arithmetic number, because the mean of its divisors is an integer number (1040726232).

Almost surely, 2130031132000 is an apocalyptic number.

130031132000 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 130031132000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199819436544).

130031132000 is an abundant number, since it is smaller than the sum of its proper divisors (269607741088).

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

130031132000 is a wasteful number, since it uses less digits than its factorization.

130031132000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1439 (or 1421 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 14.

Adding to 130031132000 its reverse (231130031), we get a palindrome (130262262031).

The spelling of 130031132000 in words is "one hundred thirty billion, thirty-one million, one hundred thirty-two thousand".