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213321212013 = 37131745964493
BaseRepresentation
bin1100011010101011101…
…1110110000001101101
3202101121201111101000010
43012222323312001231
511443340212241023
6241555353523433
721261204245550
oct3065273660155
9671551441003
10213321212013
1182518298a28
1235414a13579
1317168107950
14a479382697
155837bc5093
hex31aaef606d

213321212013 has 32 divisors (see below), whose sum is σ = 370657679616. Its totient is φ = 105902189568.

The previous prime is 213321212003. The next prime is 213321212021. The reversal of 213321212013 is 310212123312.

It is not a de Polignac number, because 213321212013 - 212 = 213321207917 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213321212003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22977606 + ... + 22986887.

It is an arithmetic number, because the mean of its divisors is an integer number (11583052488).

Almost surely, 2213321212013 is an apocalyptic number.

It is an amenable number.

213321212013 is a deficient number, since it is larger than the sum of its proper divisors (157336467603).

213321212013 is a wasteful number, since it uses less digits than its factorization.

213321212013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45964533.

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 213321212013 its reverse (310212123312), we get a palindrome (523533335325).

The spelling of 213321212013 in words is "two hundred thirteen billion, three hundred twenty-one million, two hundred twelve thousand, thirteen".

Divisors: 1 3 7 13 17 21 39 51 91 119 221 273 357 663 1547 4641 45964493 137893479 321751451 597538409 781396381 965254353 1792615227 2344189143 4182768863 5469774667 10158152953 12548306589 16409324001 30474458859 71107070671 213321212013