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31307268217 = 291168992357
BaseRepresentation
bin11101001010000011…
…110000000001111001
32222210212011000020111
4131022003300001321
51003104130040332
622214331224321
72155552250311
oct351203600171
988725130214
1031307268217
1112306155a95
1260988a80a1
132c4c1763a4
14172dcdc441
15c337a2947
hex74a0f0079

31307268217 has 8 divisors (see below), whose sum is σ = 32389950600. Its totient is φ = 30224793984.

The previous prime is 31307268203. The next prime is 31307268227. The reversal of 31307268217 is 71286270313.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 17034426256 + 14272841961 = 130516^2 + 119469^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 31307268217 - 219 = 31306743929 is a prime.

It is a super-2 number, since 2×313072682172 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 31307268217.

It is not an unprimeable number, because it can be changed into a prime (31307268227) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 292803 + ... + 385159.

It is an arithmetic number, because the mean of its divisors is an integer number (4048743825).

Almost surely, 231307268217 is an apocalyptic number.

It is an amenable number.

31307268217 is a deficient number, since it is larger than the sum of its proper divisors (1082682383).

31307268217 is a wasteful number, since it uses less digits than its factorization.

31307268217 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104075.

The product of its (nonzero) digits is 84672, while the sum is 40.

The spelling of 31307268217 in words is "thirty-one billion, three hundred seven million, two hundred sixty-eight thousand, two hundred seventeen".

Divisors: 1 29 11689 92357 338981 2678353 1079560973 31307268217