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32312121330000 = 243541576860323
BaseRepresentation
bin1110101100011010000001…
…00000111000100101010000
311020102000020021220000000110
413112031000200320211100
513213400211030030000
6152415552243321320
76543321326414301
oct726150040704520
9136360207800013
1032312121330000
11a32854812a836
12375a380080240
131505034b38125
147d9cb4b407a8
153b07a46a0850
hex1d6340838950

32312121330000 has 200 divisors, whose sum is σ = 104972232358048. Its totient is φ = 8561681856000.

The previous prime is 32312121329933. The next prime is 32312121330091. The reversal of 32312121330000 is 3312121323.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1279839 + ... + 8140161.

Almost surely, 232312121330000 is an apocalyptic number.

32312121330000 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 32312121330000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52486116179024).

32312121330000 is an abundant number, since it is smaller than the sum of its proper divisors (72660111028048).

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

32312121330000 is a wasteful number, since it uses less digits than its factorization.

32312121330000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6860511 (or 6860490 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 32312121330000 its reverse (3312121323), we get a palindrome (32315433451323).

The spelling of 32312121330000 in words is "thirty-two trillion, three hundred twelve billion, one hundred twenty-one million, three hundred thirty thousand".