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11302001304 = 233111032271831
BaseRepresentation
bin10101000011010011…
…01101101010011000
31002011122201011010220
422201221231222120
5141121303020204
65105253040040
7550034266056
oct124151555230
932148634126
1011302001304
11487a759950
122235026020
1310b1676349
147930451d6
154623461d9
hex2a1a6da98

11302001304 has 128 divisors (see below), whose sum is σ = 31277076480. Its totient is φ = 3374812800.

The previous prime is 11302001279. The next prime is 11302001309. The reversal of 11302001304 is 40310020311.

It is a super-4 number, since 4×113020013044 (a number of 41 digits) contains 4444 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11302001309) 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, 6171669 + ... + 6173499.

It is an arithmetic number, because the mean of its divisors is an integer number (244352160).

Almost surely, 211302001304 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 11302001304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15638538240).

11302001304 is an abundant number, since it is smaller than the sum of its proper divisors (19975075176).

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

11302001304 is a wasteful number, since it uses less digits than its factorization.

11302001304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2181 (or 2177 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 11302001304 its reverse (40310020311), we get a palindrome (51612021615).

The spelling of 11302001304 in words is "eleven billion, three hundred two million, one thousand, three hundred four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 103 132 206 227 264 309 412 454 618 681 824 908 1133 1236 1362 1816 1831 2266 2472 2497 2724 3399 3662 4532 4994 5448 5493 6798 7324 7491 9064 9988 10986 13596 14648 14982 19976 20141 21972 23381 27192 29964 40282 43944 46762 59928 60423 70143 80564 93524 120846 140286 161128 187048 188593 241692 257191 280572 377186 415637 483384 514382 561144 565779 754372 771573 831274 1028764 1131558 1246911 1508744 1543146 1662548 2057528 2074523 2263116 2493822 3086292 3325096 4149046 4526232 4572007 4987644 6172584 6223569 8298092 9144014 9975288 12447138 13716021 16596184 18288028 24894276 27432042 36576056 42810611 49788552 54864084 85621222 109728168 128431833 171242444 256863666 342484888 470916721 513727332 941833442 1027454664 1412750163 1883666884 2825500326 3767333768 5651000652 11302001304