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213402034017 = 3237640846949
BaseRepresentation
bin1100011010111111000…
…0001001111101100001
3202101211100120112221200
43012233300021331201
511444021410042032
6242011402111413
721263205234324
oct3065760117541
9671740515850
10213402034017
1182559980777
1235437aab569
131717ba95213
14a485dc07bb
15583ed3c47c
hex31afc09f61

213402034017 has 12 divisors (see below), whose sum is σ = 316578393300. Its totient is φ = 138422940768.

The previous prime is 213402034003. The next prime is 213402034123. The reversal of 213402034017 is 710430204312.

It is a happy number.

213402034017 is a `hidden beast` number, since 2 + 13 + 40 + 203 + 401 + 7 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 102487058496 + 110914975521 = 320136^2 + 333039^2 .

It is not a de Polignac number, because 213402034017 - 219 = 213401509729 is a prime.

It is not an unprimeable number, because it can be changed into a prime (213402034217) 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, 320423142 + ... + 320423807.

It is an arithmetic number, because the mean of its divisors is an integer number (26381532775).

Almost surely, 2213402034017 is an apocalyptic number.

It is an amenable number.

213402034017 is a deficient number, since it is larger than the sum of its proper divisors (103176359283).

213402034017 is a wasteful number, since it uses less digits than its factorization.

213402034017 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 640846992 (or 640846989 counting only the distinct ones).

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

Adding to 213402034017 its reverse (710430204312), we get a palindrome (923832238329).

The spelling of 213402034017 in words is "two hundred thirteen billion, four hundred two million, thirty-four thousand, seventeen".

Divisors: 1 3 9 37 111 333 640846949 1922540847 5767622541 23711337113 71134011339 213402034017