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32010200100120 = 233511231318048507
BaseRepresentation
bin1110100011100111101001…
…00110110010110100011000
311012100010220212211101100010
413101303310212302310120
513143423342211200440
6152025141035441520
76512442412331424
oct721636446626430
9135303825741303
1032010200100120
11a2214a44a8050
12370b95b2b62a0
1314b2719c81808
147c94327a9b84
153a79d34dd580
hex1d1cf49b2d18

32010200100120 has 256 divisors, whose sum is σ = 110149948846080. Its totient is φ = 7365992691200.

The previous prime is 32010200100113. The next prime is 32010200100191. The reversal of 32010200100120 is 2100100201023.

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

It is a junction number, because it is equal to n+sod(n) for n = 32010200100096 and 32010200100105.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 47094 + ... + 8001413.

It is an arithmetic number, because the mean of its divisors is an integer number (430273237680).

Almost surely, 232010200100120 is an apocalyptic number.

32010200100120 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 32010200100120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55074974423040).

32010200100120 is an abundant number, since it is smaller than the sum of its proper divisors (78139748745960).

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

32010200100120 is a wasteful number, since it uses less digits than its factorization.

32010200100120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8048686 (or 8048682 counting only the distinct ones).

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

Adding to 32010200100120 its reverse (2100100201023), we get a palindrome (34110300301143).

The spelling of 32010200100120 in words is "thirty-two trillion, ten billion, two hundred million, one hundred thousand, one hundred twenty".