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13001122332 = 22321128533499
BaseRepresentation
bin11000001101110110…
…10110001000011100
31020120001220110000100
430012323112020130
5203111241403312
65550031101100
7640115500512
oct140673261034
936501813010
1013001122332
115571881700
12262a071790
1312c26a57c3
148b497c4b2
155115c45dc
hex306ed621c

13001122332 has 108 divisors (see below), whose sum is σ = 36175867000. Its totient is φ = 3933990720.

The previous prime is 13001122313. The next prime is 13001122363. The reversal of 13001122332 is 23322110031.

13001122332 is a `hidden beast` number, since 1 + 300 + 11 + 22 + 332 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3713919 + ... + 3717417.

Almost surely, 213001122332 is an apocalyptic number.

13001122332 is a gapful number since it is divisible by the number (12) 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 13001122332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18087933500).

13001122332 is an abundant number, since it is smaller than the sum of its proper divisors (23174744668).

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

13001122332 is a wasteful number, since it uses less digits than its factorization.

13001122332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4384 (or 4368 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 13001122332 its reverse (23322110031), we get a palindrome (36323232363).

The spelling of 13001122332 in words is "thirteen billion, one million, one hundred twenty-two thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 121 132 198 242 363 396 484 726 853 1089 1452 1706 2178 2559 3412 3499 4356 5118 6998 7677 9383 10236 10497 13996 15354 18766 20994 28149 30708 31491 37532 38489 41988 56298 62982 76978 84447 103213 112596 115467 125964 153956 168894 206426 230934 309639 337788 346401 412852 423379 461868 619278 692802 846758 928917 1238556 1270137 1385604 1693516 1857834 2540274 2984647 3715668 3810411 5080548 5969294 7620822 8953941 11938588 15241644 17907882 26861823 32831117 35815764 53723646 65662234 98493351 107447292 131324468 196986702 295480053 361142287 393973404 590960106 722284574 1083426861 1181920212 1444569148 2166853722 3250280583 4333707444 6500561166 13001122332