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13010230320032 = 2511353322132507
BaseRepresentation
bin1011110101010010111000…
…1010000001101110100000
31201001202200022122122002102
42331110232022001232200
53201124422430220112
643400452311505532
72511646431031331
oct275245612015640
951052608578072
1013010230320032
114166675926640
1215615779882a8
13734b232b771a
1432d9ac9c0288
1517865c88cbc2
hexbd52e281ba0

13010230320032 has 96 divisors (see below), whose sum is σ = 28031145436224. Its totient is φ = 5894976102400.

The previous prime is 13010230320007. The next prime is 13010230320077. The reversal of 13010230320032 is 23002303201031.

It is a junction number, because it is equal to n+sod(n) for n = 13010230319986 and 13010230320013.

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, 400212323 + ... + 400244829.

It is an arithmetic number, because the mean of its divisors is an integer number (291991098294).

Almost surely, 213010230320032 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 13010230320032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14015572718112).

13010230320032 is an abundant number, since it is smaller than the sum of its proper divisors (15020915116192).

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

13010230320032 is a wasteful number, since it uses less digits than its factorization.

13010230320032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36102 (or 36094 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

Adding to 13010230320032 its reverse (23002303201031), we get a palindrome (36012533521063).

The spelling of 13010230320032 in words is "thirteen trillion, ten billion, two hundred thirty million, three hundred twenty thousand, thirty-two".

Divisors: 1 2 4 8 11 16 22 32 44 88 176 352 353 706 1412 2824 3221 3883 5648 6442 7766 11296 12884 15532 25768 31064 32507 35431 51536 62128 65014 70862 103072 124256 130028 141724 260056 283448 357577 520112 566896 715154 1040224 1133792 1137013 1430308 2274026 2860616 4548052 5721232 9096104 11442464 11474971 12507143 18192208 22949942 25014286 36384416 45899884 50028572 91799768 100057144 104705047 126224681 183599536 200114288 209410094 252449362 367199072 400228576 418820188 504898724 837640376 1009797448 1151755517 1675280752 2019594896 2303511034 3350561504 4039189792 4607022068 9214044136 18428088272 36856176544 36960881591 73921763182 147843526364 295687052728 406569697501 591374105456 813139395002 1182748210912 1626278790004 3252557580008 6505115160016 13010230320032