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213322121004 = 22347673562007
BaseRepresentation
bin1100011010101011111…
…1010011111100101100
3202101121210012112220110
43012222333103330230
511443340430333004
6241555425220020
721261215052636
oct3065277237454
9671553175813
10213322121004
1182518859963
1235415191610
1317168365605
14a47953ba56
155837d04589
hex31aafd3f2c

213322121004 has 48 divisors (see below), whose sum is σ = 509098318848. Its totient is φ = 69490917888.

The previous prime is 213322120993. The next prime is 213322121009. The reversal of 213322121004 is 400121223312.

It is not an unprimeable number, because it can be changed into a prime (213322121009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 98569 + ... + 660575.

It is an arithmetic number, because the mean of its divisors is an integer number (10606214976).

Almost surely, 2213322121004 is an apocalyptic number.

It is an amenable number.

213322121004 is an abundant number, since it is smaller than the sum of its proper divisors (295776197844).

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

213322121004 is a wasteful number, since it uses less digits than its factorization.

213322121004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 562734 (or 562732 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 213322121004 its reverse (400121223312), we get a palindrome (613443344316).

The spelling of 213322121004 in words is "two hundred thirteen billion, three hundred twenty-two million, one hundred twenty-one thousand, four".

Divisors: 1 2 3 4 6 12 47 94 141 188 282 564 673 1346 2019 2692 4038 8076 31631 63262 94893 126524 189786 379572 562007 1124014 1686021 2248028 3372042 6744084 26414329 52828658 79242987 105657316 158485974 316971948 378230711 756461422 1134692133 1512922844 2269384266 4538768532 17776843417 35553686834 53330530251 71107373668 106661060502 213322121004