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13313220032 = 26725937159
BaseRepresentation
bin11000110011000011…
…11001110111000000
31021100211011122120102
430121201321313000
5204231141020112
610041020301532
7650625334400
oct143141716700
937324148512
1013313220032
115711a69292
1226b66a18a8
13134224abb8
149041c0800
1552dbc2bc2
hex319879dc0

13313220032 has 84 divisors (see below), whose sum is σ = 30787756560. Its totient is φ = 5695248384.

The previous prime is 13313220001. The next prime is 13313220071. The reversal of 13313220032 is 23002231331.

It is a junction number, because it is equal to n+sod(n) for n = 13313219986 and 13313220013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1856069 + ... + 1863227.

Almost surely, 213313220032 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 13313220032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15393878280).

13313220032 is an abundant number, since it is smaller than the sum of its proper divisors (17474536528).

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

13313220032 is an equidigital number, since it uses as much as digits as its factorization.

13313220032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7778 (or 7761 counting only the distinct ones).

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

Adding to 13313220032 its reverse (23002231331), we get a palindrome (36315451363).

The spelling of 13313220032 in words is "thirteen billion, three hundred thirteen million, two hundred twenty thousand, thirty-two".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 196 224 392 448 593 784 1186 1568 2372 3136 4151 4744 7159 8302 9488 14318 16604 18976 28636 29057 33208 37952 50113 57272 58114 66416 100226 114544 116228 132832 200452 229088 232456 265664 350791 400904 458176 464912 701582 801808 929824 1403164 1603616 1859648 2806328 3207232 4245287 5612656 8490574 11225312 16981148 22450624 29717009 33962296 59434018 67924592 118868036 135849184 208019063 237736072 271698368 416038126 475472144 832076252 950944288 1664152504 1901888576 3328305008 6656610016 13313220032