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334122420210000 = 2435471551155657
BaseRepresentation
bin100101111111000011111000…
…0001010110000100101010000
31121211000210100221120001202020
41023332013300022300211100
5322243230204033210000
63142341415411251440
7130243356022613562
oct11376076012604520
91554023327501666
10334122420210000
1197509582722914
12315831b65a9b80
13114587bc06a676
145c7187ba69332
152896456cb2ba0
hex12fe1f02b0950

334122420210000 has 200 divisors, whose sum is σ = 1078613725922304. Its totient is φ = 89097494400000.

The previous prime is 334122420209971. The next prime is 334122420210041. The reversal of 334122420210000 is 12024221433.

It is a happy number.

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

It is a super-2 number, since 2×3341224202100002 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2146452172 + ... + 2146607828.

Almost surely, 2334122420210000 is an apocalyptic number.

334122420210000 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 334122420210000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (539306862961152).

334122420210000 is an abundant number, since it is smaller than the sum of its proper divisors (744491305712304).

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

334122420210000 is a wasteful number, since it uses less digits than its factorization.

334122420210000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 227239 (or 227218 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 334122420210000 its reverse (12024221433), we get a palindrome (334134444431433).

The spelling of 334122420210000 in words is "three hundred thirty-four trillion, one hundred twenty-two billion, four hundred twenty million, two hundred ten thousand".