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13003221224 = 2371075773761
BaseRepresentation
bin11000001110000110…
…10110100011101000
31020120012212002011002
430013003112203220
5203112311034344
65550144054132
7640142361650
oct140703264350
936505762132
1013003221224
115572a85624
12262a904348
1312c2c5bc56
148b4d67360
1551188b44e
hex3070d68e8

13003221224 has 64 divisors (see below), whose sum is σ = 28180690560. Its totient is φ = 5509693440.

The previous prime is 13003221211. The next prime is 13003221233. The reversal of 13003221224 is 42212230031.

It is a junction number, because it is equal to n+sod(n) for n = 13003221196 and 13003221205.

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, 3455504 + ... + 3459264.

It is an arithmetic number, because the mean of its divisors is an integer number (440323290).

Almost surely, 213003221224 is an apocalyptic number.

13003221224 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13003221224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14090345280).

13003221224 is an abundant number, since it is smaller than the sum of its proper divisors (15177469336).

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

13003221224 is a wasteful number, since it uses less digits than its factorization.

13003221224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4458 (or 4454 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 13003221224 its reverse (42212230031), we get a palindrome (55215451255).

The spelling of 13003221224 in words is "thirteen billion, three million, two hundred twenty-one thousand, two hundred twenty-four".

Divisors: 1 2 4 7 8 14 28 56 107 214 428 577 749 856 1154 1498 2308 2996 3761 4039 4616 5992 7522 8078 15044 16156 26327 30088 32312 52654 61739 105308 123478 210616 246956 402427 432173 493912 804854 864346 1609708 1728692 2170097 2816989 3219416 3457384 4340194 5633978 8680388 11267956 15190679 17360776 22535912 30381358 60762716 121525432 232200379 464400758 928801516 1625402653 1857603032 3250805306 6501610612 13003221224