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13220032032 = 25351700107
BaseRepresentation
bin11000100111111100…
…11010111000100000
31021010022211012200000
430103332122320200
5204033312011112
610023451100000
7645414263304
oct142376327040
937108735600
1013220032032
1156743aa809
12268b441600
131328b50b7c
148d5a83d04
155259167dc
hex313f9ae20

13220032032 has 72 divisors (see below), whose sum is σ = 38986876656. Its totient is φ = 4406674752.

The previous prime is 13220031971. The next prime is 13220032073. The reversal of 13220032032 is 23023002231.

It is a happy number.

13220032032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a junction number, because it is equal to n+sod(n) for n = 13220031996 and 13220032014.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 842278 + ... + 857829.

It is an arithmetic number, because the mean of its divisors is an integer number (541484398).

Almost surely, 213220032032 is an apocalyptic number.

13220032032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13220032032 is an abundant number, since it is smaller than the sum of its proper divisors (25766844624).

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

13220032032 is an equidigital number, since it uses as much as digits as its factorization.

13220032032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1700132 (or 1700112 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 13220032032 its reverse (23023002231), we get a palindrome (36243034263).

The spelling of 13220032032 in words is "thirteen billion, two hundred twenty million, thirty-two thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 243 288 324 432 486 648 864 972 1296 1944 2592 3888 7776 1700107 3400214 5100321 6800428 10200642 13600856 15300963 20401284 27201712 30601926 40802568 45902889 54403424 61203852 81605136 91805778 122407704 137708667 163210272 183611556 244815408 275417334 367223112 413126001 489630816 550834668 734446224 826252002 1101669336 1468892448 1652504004 2203338672 3305008008 4406677344 6610016016 13220032032