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334112100421200 = 24352278426750351
BaseRepresentation
bin100101111110111111000100…
…1000011111000111001010000
31121210222210201202001110212020
41023331332021003320321100
5322243043040201434300
63142332551402331440
7130242542213063013
oct11375761103707120
91553883652043766
10334112100421200
1197505167448842
12315811b64b9b80
131145783604416a
145c7117d26137a
152896050cd78a0
hex12fdf890f8e50

334112100421200 has 60 divisors (see below), whose sum is σ = 1070272428353088. Its totient is φ = 89096560112000.

The previous prime is 334112100421163. The next prime is 334112100421249. The reversal of 334112100421200 is 2124001211433.

It is a tau number, because it is divible by the number of its divisors (60).

It is a super-2 number, since 2×3341121004212002 (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 11 ways as a sum of consecutive naturals, for example, 139213373976 + ... + 139213376375.

Almost surely, 2334112100421200 is an apocalyptic number.

334112100421200 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

334112100421200 is an abundant number, since it is smaller than the sum of its proper divisors (736160327931888).

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

334112100421200 is a wasteful number, since it uses less digits than its factorization.

334112100421200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 278426750372 (or 278426750361 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 334112100421200 its reverse (2124001211433), we get a palindrome (336236101632633).

The spelling of 334112100421200 in words is "three hundred thirty-four trillion, one hundred twelve billion, one hundred million, four hundred twenty-one thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 150 200 240 300 400 600 1200 278426750351 556853500702 835280251053 1113707001404 1392133751755 1670560502106 2227414002808 2784267503510 3341121004212 4176401255265 4454828005616 5568535007020 6682242008424 6960668758775 8352802510530 11137070014040 13364484016848 13921337517550 16705605021060 20882006276325 22274140028080 27842675035100 33411210042120 41764012552650 55685350070200 66822420084240 83528025105300 111370700140400 167056050210600 334112100421200