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1303113010104 = 233267966127961
BaseRepresentation
bin10010111101100111100…
…101101000101110111000
311121120120012000202021200
4102331213211220232320
5132322233412310404
62434350350134200
7163101232553523
oct22754745505670
94546505022250
101303113010104
1146271335a814
12190675ab1360
1395b63029159
14470dcbabbba
1523d6c38d839
hex12f67968bb8

1303113010104 has 96 divisors (see below), whose sum is σ = 3582438871440. Its totient is φ = 427828262400.

The previous prime is 1303113010097. The next prime is 1303113010153. The reversal of 1303113010104 is 4010103113031.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 46590684 + ... + 46618644.

Almost surely, 21303113010104 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 1303113010104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1791219435720).

1303113010104 is an abundant number, since it is smaller than the sum of its proper divisors (2279325861336).

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

1303113010104 is a wasteful number, since it uses less digits than its factorization.

1303113010104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37701 (or 37694 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 1303113010104 its reverse (4010103113031), we get a palindrome (5313216123135).

The spelling of 1303113010104 in words is "one trillion, three hundred three billion, one hundred thirteen million, ten thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 67 72 134 201 268 402 536 603 804 1206 1608 2412 4824 9661 19322 27961 28983 38644 55922 57966 77288 83883 86949 111844 115932 167766 173898 223688 231864 251649 335532 347796 503298 647287 671064 695592 1006596 1294574 1873387 1941861 2013192 2589148 3746774 3883722 5178296 5620161 5825583 7493548 7767444 11240322 11651166 14987096 15534888 16860483 22480644 23302332 33720966 44961288 46604664 67441932 134883864 270131221 540262442 810393663 1080524884 1620787326 2161049768 2431180989 3241574652 4862361978 6483149304 9724723956 18098791807 19449447912 36197583614 54296375421 72395167228 108592750842 144790334456 162889126263 217185501684 325778252526 434371003368 651556505052 1303113010104