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31202300316 = 223118923311399
BaseRepresentation
bin11101000011110011…
…010101000110011100
32222112112122002100110
4131003303111012130
51002400242102231
622200101330020
72153136114405
oct350363250634
988475562313
1031202300316
1112261981060
126069706910
132c334b35c5
14171ddb69ac
15c2946b046
hex743cd519c

31202300316 has 96 divisors (see below), whose sum is σ = 80668224000. Its totient is φ = 9308062720.

The previous prime is 31202300309. The next prime is 31202300317. The reversal of 31202300316 is 61300320213.

It is a junction number, because it is equal to n+sod(n) for n = 31202300292 and 31202300301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31202300317) 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, 2731585 + ... + 2742983.

It is an arithmetic number, because the mean of its divisors is an integer number (840294000).

Almost surely, 231202300316 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31202300316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40334112000).

31202300316 is an abundant number, since it is smaller than the sum of its proper divisors (49465923684).

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

31202300316 is a wasteful number, since it uses less digits than its factorization.

31202300316 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11739 (or 11737 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 31202300316 its reverse (61300320213), we get a palindrome (92502620529).

The spelling of 31202300316 in words is "thirty-one billion, two hundred two million, three hundred thousand, three hundred sixteen".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 89 132 178 233 267 356 466 534 699 932 979 1068 1398 1958 2563 2796 2937 3916 5126 5874 7689 10252 11399 11748 15378 20737 22798 30756 34197 41474 45596 62211 68394 82948 124422 125389 136788 228107 248844 250778 376167 456214 501556 684321 752334 912428 1014511 1368642 1504668 2029022 2655967 2737284 3043533 4058044 5311934 6087066 7967901 10623868 11159621 12174132 15935802 22319242 29215637 31871604 33478863 44638484 58431274 66957726 87646911 116862548 133915452 175293822 236381063 350587644 472762126 709143189 945524252 1418286378 2600191693 2836572756 5200383386 7800575079 10400766772 15601150158 31202300316