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213441203007 = 33293155715787
BaseRepresentation
bin1100011011001000010…
…1100100101100111111
3202101221002021112201000
43012302011210230333
511444111421444012
6242015321421343
721264162201534
oct3066205445477
9671832245630
10213441203007
1182579aa3a3a
123544903a853
1317186c2a736
14a48b298d8b
1558434c7ddc
hex31b2164b3f

213441203007 has 64 divisors (see below), whose sum is σ = 338292633600. Its totient is φ = 132708481920.

The previous prime is 213441202963. The next prime is 213441203021. The reversal of 213441203007 is 700302144312.

It is a happy number.

213441203007 is a `hidden beast` number, since 2 + 1 + 344 + 12 + 0 + 300 + 7 = 666.

It is not a de Polignac number, because 213441203007 - 219 = 213440678719 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213441203047) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13512168 + ... + 13527954.

It is an arithmetic number, because the mean of its divisors is an integer number (5285822400).

Almost surely, 2213441203007 is an apocalyptic number.

213441203007 is a gapful number since it is divisible by the number (27) formed by its first and last digit.

213441203007 is a deficient number, since it is larger than the sum of its proper divisors (124851430593).

213441203007 is a wasteful number, since it uses less digits than its factorization.

213441203007 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16413 (or 16407 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

Adding to 213441203007 its reverse (700302144312), we get a palindrome (913743347319).

The spelling of 213441203007 in words is "two hundred thirteen billion, four hundred forty-one million, two hundred three thousand, seven".

Divisors: 1 3 9 27 29 31 87 93 261 279 557 783 837 899 1671 2697 5013 8091 15039 15787 16153 17267 24273 47361 48459 51801 142083 145377 155403 426249 436131 457823 466209 489397 500743 1373469 1468191 1502229 4120407 4404573 4506687 8793359 12361221 13213719 13520061 14192513 26380077 42577539 79140231 127732617 237420693 255007411 272594129 383197851 765022233 817782387 2295066699 2453347161 6885200097 7360041483 7905229741 23715689223 71147067669 213441203007