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32131110000 = 243541197367
BaseRepresentation
bin11101111011001010…
…011101010001110000
310001221021100111201010
4131323022131101300
51011301031010000
622432201110520
72215144633353
oct357312352160
9101837314633
1032131110000
11126991a0570
126288788440
133050a56232
1417ab4b229a
15c80c88d50
hex77b29d470

32131110000 has 200 divisors, whose sum is σ = 113154079104. Its totient is φ = 7789280000.

The previous prime is 32131109951. The next prime is 32131110001. The reversal of 32131110000 is 1113123.

It is a tau number, because it is divible by the number of its divisors (200).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32131110001) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 281317 + ... + 378683.

Almost surely, 232131110000 is an apocalyptic number.

32131110000 is a gapful number since it is divisible by the number (30) 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 32131110000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56577039552).

32131110000 is an abundant number, since it is smaller than the sum of its proper divisors (81022969104).

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

32131110000 is a wasteful number, since it uses less digits than its factorization.

32131110000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97409 (or 97388 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 32131110000 its reverse (1113123), we get a palindrome (32132223123).

The spelling of 32131110000 in words is "thirty-two billion, one hundred thirty-one million, one hundred ten thousand".