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1301123424 = 253171077451
BaseRepresentation
bin100110110001101…
…1001000101100000
310100200021220210110
41031203121011200
510131041422144
6333035331320
744146236516
oct11543310540
93320256713
101301123424
116084a5317
123038b0b40
1317973c423
14c4b344b6
15793630b9
hex4d8d9160

1301123424 has 96 divisors (see below), whose sum is σ = 3650645376. Its totient is φ = 404326400.

The previous prime is 1301123399. The next prime is 1301123429. The reversal of 1301123424 is 4243211031.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 1301123424.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1301123429) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 170899 + ... + 178349.

It is an arithmetic number, because the mean of its divisors is an integer number (38027556).

Almost surely, 21301123424 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 1301123424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1825322688).

1301123424 is an abundant number, since it is smaller than the sum of its proper divisors (2349521952).

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

1301123424 is a wasteful number, since it uses less digits than its factorization.

1301123424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7588 (or 7580 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 1301123424 is about 36071.0884781704. The cubic root of 1301123424 is about 1091.7071763794.

Adding to 1301123424 its reverse (4243211031), we get a palindrome (5544334455).

The spelling of 1301123424 in words is "one billion, three hundred one million, one hundred twenty-three thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 68 96 102 107 136 204 214 272 321 408 428 544 642 816 856 1284 1632 1712 1819 2568 3424 3638 5136 5457 7276 7451 10272 10914 14552 14902 21828 22353 29104 29804 43656 44706 58208 59608 87312 89412 119216 126667 174624 178824 238432 253334 357648 380001 506668 715296 760002 797257 1013336 1520004 1594514 2026672 2391771 3040008 3189028 4053344 4783542 6080016 6378056 9567084 12160032 12756112 13553369 19134168 25512224 27106738 38268336 40660107 54213476 76536672 81320214 108426952 162640428 216853904 325280856 433707808 650561712 1301123424