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10313330321312 = 252324987122167
BaseRepresentation
bin1001011000010100001001…
…1000111110011110100000
31100111221111201111202200122
42112011002120332132200
52322433200030240222
633533513433135412
72113053640211324
oct226050230763640
940457451452618
1010313330321312
11331694a109a97
1211a696155a568
1359a709911c05
1427924c823984
1512d417a51a42
hex9614263e7a0

10313330321312 has 72 divisors (see below), whose sum is σ = 21229980228576. Its totient is φ = 4931432896896.

The previous prime is 10313330321267. The next prime is 10313330321317. The reversal of 10313330321312 is 21312303331301.

It is a super-2 number, since 2×103133303213122 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10313330321317) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 84358853 + ... + 84481019.

It is an arithmetic number, because the mean of its divisors is an integer number (294860836508).

Almost surely, 210313330321312 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 10313330321312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10614990114288).

10313330321312 is an abundant number, since it is smaller than the sum of its proper divisors (10916649907264).

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

10313330321312 is a wasteful number, since it uses less digits than its factorization.

10313330321312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127210 (or 127179 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 26.

Adding to 10313330321312 its reverse (21312303331301), we get a palindrome (31625633652613).

The spelling of 10313330321312 in words is "ten trillion, three hundred thirteen billion, three hundred thirty million, three hundred twenty-one thousand, three hundred twelve".

Divisors: 1 2 4 8 16 23 32 46 92 184 368 529 736 1058 2116 4232 4987 8464 9974 16928 19948 39896 79792 114701 122167 159584 229402 244334 458804 488668 917608 977336 1835216 1954672 2638123 2809841 3670432 3909344 5276246 5619682 10552492 11239364 21104984 22478728 42209968 44957456 64626343 84419936 89914912 129252686 258505372 517010744 609246829 1034021488 1218493658 2068042976 2436987316 4873974632 9747949264 14012677067 19495898528 28025354134 56050708268 112101416536 224202833072 322291572541 448405666144 644583145082 1289166290164 2578332580328 5156665160656 10313330321312