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13023312003220 = 22517337311356021
BaseRepresentation
bin1011110110000011100111…
…1000101100000010010100
31201010000110000010222211011
42331200321320230002110
53201333220333100340
643410454341422004
72512621545352351
oct275407170540224
951100400128734
1013023312003220
114171179121862
121564008a0a904
1373612958896c
1433049012d628
15178b760770ea
hexbd839e2c094

13023312003220 has 48 divisors (see below), whose sum is σ = 28966304980368. Its totient is φ = 4901439928320.

The previous prime is 13023312003211. The next prime is 13023312003253. The reversal of 13023312003220 is 2230021332031.

It can be written as a sum of positive squares in 8 ways, for example, as 3338382111376 + 9684929891844 = 1827124^2 + 3112062^2 .

It is a junction number, because it is equal to n+sod(n) for n = 13023312003191 and 13023312003200.

It is a congruent number.

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, 4531191 + ... + 6824830.

It is an arithmetic number, because the mean of its divisors is an integer number (603464687091).

Almost surely, 213023312003220 is an apocalyptic number.

13023312003220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13023312003220 is an abundant number, since it is smaller than the sum of its proper divisors (15942992977148).

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

13023312003220 is a wasteful number, since it uses less digits than its factorization.

13023312003220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11359420 (or 11359418 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 22.

Adding to 13023312003220 its reverse (2230021332031), we get a palindrome (15253333335251).

The spelling of 13023312003220 in words is "thirteen trillion, twenty-three billion, three hundred twelve million, three thousand, two hundred twenty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 340 3373 6746 13492 16865 33730 57341 67460 114682 229364 286705 573410 1146820 11356021 22712042 45424084 56780105 113560210 193052357 227120420 386104714 772209428 965261785 1930523570 3861047140 38303858833 76607717666 153215435332 191519294165 383038588330 651165600161 766077176660 1302331200322 2604662400644 3255828000805 6511656001610 13023312003220