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213412221400 = 23527152437301
BaseRepresentation
bin1100011011000001011…
…1000001000111011000
3202101212001202010102011
43012300113001013120
511444032012041100
6242012404315304
721263360644210
oct3066027010730
9671761663364
10213412221400
11825646a96a4
123543b3a2b34
1317180c21161
14a4874b3240
155840ba0bba
hex31b05c11d8

213412221400 has 48 divisors (see below), whose sum is σ = 567066763440. Its totient is φ = 73169904000.

The previous prime is 213412221397. The next prime is 213412221403. The reversal of 213412221400 is 4122214312.

It is an interprime number because it is at equal distance from previous prime (213412221397) and next prime (213412221403).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213412221403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 76217251 + ... + 76220050.

It is an arithmetic number, because the mean of its divisors is an integer number (11813890905).

Almost surely, 2213412221400 is an apocalyptic number.

213412221400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213412221400 is an abundant number, since it is smaller than the sum of its proper divisors (353654542040).

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

213412221400 is a wasteful number, since it uses less digits than its factorization.

213412221400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152437324 (or 152437315 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 213412221400 its reverse (4122214312), we get a palindrome (217534435712).

The spelling of 213412221400 in words is "two hundred thirteen billion, four hundred twelve million, two hundred twenty-one thousand, four hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 140 175 200 280 350 700 1400 152437301 304874602 609749204 762186505 1067061107 1219498408 1524373010 2134122214 3048746020 3810932525 4268244428 5335305535 6097492040 7621865050 8536488856 10670611070 15243730100 21341222140 26676527675 30487460200 42682444280 53353055350 106706110700 213412221400