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13011103296 = 26327124481
BaseRepresentation
bin11000001111000010…
…11010111001000000
31020120202200112022200
430013201122321000
5203121320301141
65551025033200
7640266360522
oct140741327100
936522615280
1013011103296
115577479534
122631485800
1312c478b7b9
148b6019a12
155123e6ab6
hex30785ae40

13011103296 has 126 divisors (see below), whose sum is σ = 37835085366. Its totient is φ = 4274995200.

The previous prime is 13011103249. The next prime is 13011103319. The reversal of 13011103296 is 69230111031.

It can be written as a sum of positive squares in only one way, i.e., 12267777600 + 743325696 = 110760^2 + 27264^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 2901376 + ... + 2905856.

Almost surely, 213011103296 is an apocalyptic number.

13011103296 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13011103296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18917542683).

13011103296 is an abundant number, since it is smaller than the sum of its proper divisors (24823982070).

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

13011103296 is an equidigital number, since it uses as much as digits as its factorization.

13011103296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4641 (or 4557 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

The spelling of 13011103296 in words is "thirteen billion, eleven million, one hundred three thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 71 72 96 142 144 192 213 284 288 426 568 576 639 852 1136 1278 1704 2272 2556 3408 4481 4544 5041 5112 6816 8962 10082 10224 13443 13632 15123 17924 20164 20448 26886 30246 35848 40328 40329 40896 45369 53772 60492 71696 80656 80658 90738 107544 120984 143392 161312 161316 181476 215088 241968 286784 318151 322624 322632 362952 430176 483936 636302 645264 725904 860352 954453 967872 1272604 1290528 1451808 1908906 2545208 2581056 2863359 2903616 3817812 5090416 5726718 7635624 10180832 11453436 15271248 20361664 22588721 22906872 30542496 45177442 45813744 61084992 67766163 90354884 91627488 135532326 180709768 183254976 203298489 271064652 361419536 406596978 542129304 722839072 813193956 1084258608 1445678144 1626387912 2168517216 3252775824 4337034432 6505551648 13011103296