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10000321020000 = 253354145112763
BaseRepresentation
bin1001000110000110000110…
…0101010000000001100000
31022102000120120021202111000
42101201201211100001200
52302321124140120000
633134030053352000
72051333164101543
oct221414145200140
938360516252430
1010000321020000
113206126565103
121156167338600
13577045805a9c
14268037a1485a
151251e8205000
hex91861950060

10000321020000 has 480 divisors, whose sum is σ = 36475813503360. Its totient is φ = 2664705600000.

The previous prime is 10000321019977. The next prime is 10000321020023. The reversal of 10000321020000 is 2012300001.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (10000321019977) and next prime (10000321020023).

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 783533619 + ... + 783546381.

It is an arithmetic number, because the mean of its divisors is an integer number (75991278132).

Almost surely, 210000321020000 is an apocalyptic number.

10000321020000 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 10000321020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18237906751680).

10000321020000 is an abundant number, since it is smaller than the sum of its proper divisors (26475492483360).

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

10000321020000 is a wasteful number, since it uses less digits than its factorization.

10000321020000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14253 (or 14224 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

Adding to 10000321020000 its reverse (2012300001), we get a palindrome (10002333320001).

The spelling of 10000321020000 in words is "ten trillion, three hundred twenty-one million, twenty thousand".