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13032020000032 = 2511659346316223
BaseRepresentation
bin1011110110100100000011…
…1011000011110100100000
31201010211220212210001202121
42331221000323003310200
53202004034110000112
643414454412154024
72513350414201225
oct275510073036440
951124825701677
1013032020000032
114174937600740
121565839168914
13736bb66aacb7
14330a7885394c
15178ed57c4407
hexbda40ec3d20

13032020000032 has 96 divisors (see below), whose sum is σ = 28041520066560. Its totient is φ = 5912584177920.

The previous prime is 13032019999993. The next prime is 13032020000053. The reversal of 13032020000032 is 23000002023031.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 13032019999970 and 13032020000015.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 803297073 + ... + 803313295.

It is an arithmetic number, because the mean of its divisors is an integer number (292099167360).

Almost surely, 213032020000032 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 13032020000032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14020760033280).

13032020000032 is an abundant number, since it is smaller than the sum of its proper divisors (15009500066528).

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

13032020000032 is a wasteful number, since it uses less digits than its factorization.

13032020000032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20366 (or 20358 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 16.

Adding to 13032020000032 its reverse (23000002023031), we get a palindrome (36032022023063).

The spelling of 13032020000032 in words is "thirteen trillion, thirty-two billion, twenty million, thirty-two", and thus it is an aban number and an uban number.

Divisors: 1 2 4 8 11 16 22 32 44 88 176 352 659 1318 2636 3463 5272 6926 7249 10544 13852 14498 16223 21088 27704 28996 32446 38093 55408 57992 64892 76186 110816 115984 129784 152372 178453 231968 259568 304744 356906 519136 609488 713812 1218976 1427624 2282117 2855248 4564234 5710496 9128468 10690957 18256936 21381914 25103287 36513872 42763828 50206574 56180249 73027744 85527656 100413148 112360498 117600527 171055312 200826296 224720996 235201054 342110624 401652592 449441992 470402108 617982739 803305184 898883984 940804216 1235965478 1797767968 1881608432 2471930956 3763216864 4943861912 9887723824 19775447648 37022784091 74045568182 148091136364 296182272728 407250625001 592364545456 814501250002 1184729090912 1629002500004 3258005000008 6516010000016 13032020000032