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13031221330288 = 2474711532147039
BaseRepresentation
bin1011110110100001000101…
…0100011000000101110000
31201010202212012221102211201
42331220101110120011300
53202000420130032123
643414243242020544
72513321545465060
oct275502124300560
951122765842751
1013031221330288
1141745677992a7
1215656557a7754
13736aba0a2755
14330a007533a0
15178e8a6115ad
hexbda11518170

13031221330288 has 80 divisors (see below), whose sum is σ = 29494352240640. Its totient is φ = 5461240209408.

The previous prime is 13031221330229. The next prime is 13031221330289. The reversal of 13031221330288 is 88203312213031.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13031221330289) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4995873 + ... + 7142911.

It is an arithmetic number, because the mean of its divisors is an integer number (368679403008).

Almost surely, 213031221330288 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 13031221330288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14747176120320).

13031221330288 is an abundant number, since it is smaller than the sum of its proper divisors (16463130910352).

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

13031221330288 is a wasteful number, since it uses less digits than its factorization.

13031221330288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2148254 (or 2148248 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 37.

The spelling of 13031221330288 in words is "thirteen trillion, thirty-one billion, two hundred twenty-one million, three hundred thirty thousand, two hundred eighty-eight".

Divisors: 1 2 4 7 8 14 16 28 47 56 94 112 188 329 376 658 752 1153 1316 2306 2632 4612 5264 8071 9224 16142 18448 32284 54191 64568 108382 129136 216764 379337 433528 758674 867056 1517348 2147039 3034696 4294078 6069392 8588156 15029273 17176312 30058546 34352624 60117092 100910833 120234184 201821666 240468368 403643332 706375831 807286664 1412751662 1614573328 2475535967 2825503324 4951071934 5651006648 9902143868 11302013296 17328751769 19804287736 34657503538 39608575472 69315007076 116350190449 138630014152 232700380898 277260028304 465400761796 814451333143 930801523592 1628902666286 1861603047184 3257805332572 6515610665144 13031221330288