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211345335015400 = 23521217868304581
BaseRepresentation
bin110000000011011110101011…
…100111100101011111101000
31000201022102020210001011102101
4300003132223213211133220
5210200140221230443100
62025254412340543144
762342124264636205
oct6003365347453750
91021272223034371
10211345335015400
1161383064944633
121b8541850b1ab4
1390c0a19960521
143a29251256cac
15196789ce6e86a
hexc037ab9e57e8

211345335015400 has 48 divisors (see below), whose sum is σ = 491781666107340. Its totient is φ = 84468669542400.

The previous prime is 211345335015391. The next prime is 211345335015497. The reversal of 211345335015400 is 4510533543112.

It can be written as a sum of positive squares in 6 ways, for example, as 6793039471716 + 204552295543684 = 2606346^2 + 14302178^2 .

It is a super-2 number, since 2×2113453350154002 (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 211345335015400.

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, 433908891 + ... + 434395690.

Almost surely, 2211345335015400 is an apocalyptic number.

211345335015400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211345335015400 is an abundant number, since it is smaller than the sum of its proper divisors (280436331091940).

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

211345335015400 is a wasteful number, since it uses less digits than its factorization.

211345335015400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 868305814 (or 868305805 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 37.

Adding to 211345335015400 its reverse (4510533543112), we get a palindrome (215855868558512).

The spelling of 211345335015400 in words is "two hundred eleven trillion, three hundred forty-five billion, three hundred thirty-five million, fifteen thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 1217 2434 4868 6085 9736 12170 24340 30425 48680 60850 121700 243400 868304581 1736609162 3473218324 4341522905 6946436648 8683045810 17366091620 21707614525 34732183240 43415229050 86830458100 173660916200 1056726675077 2113453350154 4226906700308 5283633375385 8453813400616 10567266750770 21134533501540 26418166876925 42269067003080 52836333753850 105672667507700 211345335015400