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13000301132 = 227213172313049
BaseRepresentation
bin11000001101110000…
…01101101001001100
31020120000100201112112
430012320031221030
5203111034114012
65550001323152
7640105510400
oct140670155114
936500321475
1013000301132
115571370725
1226299364b8
1312c2478aa0
148b4807100
155114b1122
hex306e0da4c

13000301132 has 144 divisors (see below), whose sum is σ = 31491633600. Its totient is φ = 4629639168.

The previous prime is 13000301099. The next prime is 13000301147. The reversal of 13000301132 is 23110300031.

It is a Harshad number since it is a multiple of its sum of digits (14).

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, 989744 + ... + 1002792.

It is an arithmetic number, because the mean of its divisors is an integer number (218691900).

Almost surely, 213000301132 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 13000301132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15745816800).

13000301132 is an abundant number, since it is smaller than the sum of its proper divisors (18491332468).

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

13000301132 is a wasteful number, since it uses less digits than its factorization.

13000301132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13120 (or 13111 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 14.

Adding to 13000301132 its reverse (23110300031), we get a palindrome (36110601163).

The spelling of 13000301132 in words is "thirteen billion, three hundred one thousand, one hundred thirty-two".

Divisors: 1 2 4 7 13 14 17 23 26 28 34 46 49 52 68 91 92 98 119 161 182 196 221 238 299 322 364 391 442 476 598 637 644 782 833 884 1127 1196 1274 1547 1564 1666 2093 2254 2548 2737 3094 3332 4186 4508 5083 5474 6188 8372 10166 10829 10948 13049 14651 19159 20332 21658 26098 29302 35581 38318 43316 52196 58604 71162 76636 91343 142324 169637 182686 221833 249067 300127 339274 365372 443666 498134 600254 639401 678548 887332 996268 1187459 1200508 1278802 1552831 2100889 2374918 2557604 2883829 3105662 3901651 4201778 4749836 5102159 5767658 6211324 7803302 8312213 8403556 10204318 10869817 11535316 14706223 15606604 16624426 20186803 20408636 21739634 27311557 29412446 33248852 35715113 40373606 43479268 54623114 58824892 66328067 71430226 80747212 109246228 132656134 141307621 142860452 191180899 250005791 265312268 282615242 382361798 464296469 500011582 565230484 764723596 928592938 1000023164 1857185876 3250075283 6500150566 13000301132