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10314104431302 = 2337113252195783
BaseRepresentation
bin1001011000010111000010…
…0001111110001011000110
31100112000111200010121222000
42112011300201332023012
52322441241213300202
633534122325050130
72113112060064630
oct226056041761306
940460450117860
1010314104431302
113317207077311
1211a6b38856946
1359a8010cb769
142792c356da50
1512d4609b291c
hex9617087e2c6

10314104431302 has 128 divisors (see below), whose sum is σ = 26437119621120. Its totient is φ = 2919619261440.

The previous prime is 10314104431271. The next prime is 10314104431387. The reversal of 10314104431302 is 20313440141301.

10314104431302 is a `hidden beast` number, since 1 + 0 + 314 + 1 + 0 + 4 + 43 + 1 + 302 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 107634103 + ... + 107729885.

It is an arithmetic number, because the mean of its divisors is an integer number (206539997040).

Almost surely, 210314104431302 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10314104431302, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13218559810560).

10314104431302 is an abundant number, since it is smaller than the sum of its proper divisors (16123015189818).

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

10314104431302 is a wasteful number, since it uses less digits than its factorization.

10314104431302 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98435 (or 98429 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 10314104431302 its reverse (20313440141301), we get a palindrome (30627544572603).

The spelling of 10314104431302 in words is "ten trillion, three hundred fourteen billion, one hundred four million, four hundred thirty-one thousand, three hundred two".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 113 126 189 226 339 378 678 791 1017 1582 2034 2373 2521 3051 4746 5042 6102 7119 7563 14238 15126 17647 21357 22689 35294 42714 45378 52941 68067 95783 105882 136134 158823 191566 284873 287349 317646 476469 569746 574698 670481 854619 862047 952938 1340962 1709238 1724094 1994111 2011443 2563857 2586141 3988222 4022886 5127714 5172282 5982333 6034329 7691571 10823479 11964666 12068658 15383142 17946999 18102987 21646958 32470437 35893998 36205974 53840997 64940874 75764353 97411311 107681994 151528706 194822622 227293059 241468943 292233933 454586118 482937886 584467866 681879177 724406829 1363758354 1448813658 1690282601 2045637531 2173220487 3380565202 4091275062 4346440974 5070847803 6519661461 10141695606 13039322922 15212543409 27285990559 30425086818 45637630227 54571981118 81857971677 91275260454 163715943354 191001933913 245573915031 382003867826 491147830062 573005801739 736721745093 1146011603478 1473443490186 1719017405217 3438034810434 5157052215651 10314104431302