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11301464130 = 23511211632677
BaseRepresentation
bin10101000011001111…
…01010100001000010
31002011121200212021120
422201213222201002
5141121133323010
65105233333110
7550026601005
oct124147524102
932147625246
1011301464130
11487a422300
122234a07196
1310b15189a8
14792d4553c
1546228be70
hex2a19ea842

11301464130 has 96 divisors (see below), whose sum is σ = 29850230592. Its totient is φ = 2736370560.

The previous prime is 11301464117. The next prime is 11301464287. The reversal of 11301464130 is 3146410311.

It is a self number, because there is not a number n which added to its sum of digits gives 11301464130.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4220352 + ... + 4223028.

It is an arithmetic number, because the mean of its divisors is an integer number (310939902).

Almost surely, 211301464130 is an apocalyptic number.

11301464130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11301464130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14925115296).

11301464130 is an abundant number, since it is smaller than the sum of its proper divisors (18548766462).

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

11301464130 is a wasteful number, since it uses less digits than its factorization.

11301464130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3872 (or 3861 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 11301464130 its reverse (3146410311), we get a palindrome (14447874441).

The spelling of 11301464130 in words is "eleven billion, three hundred one million, four hundred sixty-four thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 110 121 165 242 330 363 605 726 1163 1210 1815 2326 2677 3489 3630 5354 5815 6978 8031 11630 12793 13385 16062 17445 25586 26770 29447 34890 38379 40155 58894 63965 76758 80310 88341 127930 140723 147235 176682 191895 281446 294470 323917 383790 422169 441705 647834 703615 844338 883410 971751 1407230 1619585 1943502 2110845 3113351 3239170 4221690 4858755 6226702 9340053 9717510 15566755 18680106 31133510 34246861 46700265 68493722 93400530 102740583 171234305 205481166 342468610 376715471 513702915 753430942 1027405830 1130146413 1883577355 2260292826 3767154710 5650732065 11301464130