Search a number
-
+
10313445514242 = 2313231601154583
BaseRepresentation
bin1001011000010100100101…
…0000011001110000000010
31100111221210202021011200110
42112011021100121300002
52322433414022423432
633533533110132150
72113056536301633
oct226051120316002
940457722234613
1010313445514242
1133169a9138162
1211a6994051056
1359a727744b00
1427925dc4b88a
1512d422c07dcc
hex96149419c02

10313445514242 has 96 divisors (see below), whose sum is σ = 23060389810176. Its totient is φ = 3070433995200.

The previous prime is 10313445514199. The next prime is 10313445514249. The reversal of 10313445514242 is 24241554431301.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 10313445514242.

It is not an unprimeable number, because it can be changed into a prime (10313445514249) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 188922483 + ... + 188977065.

It is an arithmetic number, because the mean of its divisors is an integer number (240212393856).

Almost surely, 210313445514242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10313445514242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11530194905088).

10313445514242 is an abundant number, since it is smaller than the sum of its proper divisors (12746944295934).

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

10313445514242 is a wasteful number, since it uses less digits than its factorization.

10313445514242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60656 (or 60643 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 39.

Adding to 10313445514242 its reverse (24241554431301), we get a palindrome (34554999945543).

The spelling of 10313445514242 in words is "ten trillion, three hundred thirteen billion, four hundred forty-five million, five hundred fourteen thousand, two hundred forty-two".

Divisors: 1 2 3 6 13 26 31 39 62 78 93 169 186 338 403 507 806 1014 1209 2418 5239 6011 10478 12022 15717 18033 31434 36066 54583 78143 109166 156286 163749 186341 234429 327498 372682 468858 559023 709579 1015859 1118046 1419158 1692073 2031718 2128737 2422433 3047577 3384146 4257474 4844866 5076219 6095154 7267299 9224527 10152438 14534598 18449054 21996949 27673581 31491629 43993898 55347162 62983258 65990847 94474887 131981694 188949774 285960337 328098413 571920674 656196826 857881011 984295239 1715762022 1968590478 4265279369 8530558738 10171050803 12795838107 20342101606 25591676214 30513152409 55448631797 61026304818 110897263594 132223660439 166345895391 264447320878 332691790782 396670981317 793341962634 1718907585707 3437815171414 5156722757121 10313445514242