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13211350420 = 22517231689431
BaseRepresentation
bin11000100110111010…
…10011010110010100
31021002201111010201211
430103131103112110
5204024101203140
610022541031204
7645250424422
oct142335232624
937081433654
1013211350420
11566a510124
122688555504
131327101418
148d4864112
15524c9e2ea
hex313753594

13211350420 has 48 divisors (see below), whose sum is σ = 30653054208. Its totient is φ = 4757434880.

The previous prime is 13211350409. The next prime is 13211350423. The reversal of 13211350420 is 2405311231.

It is a happy number.

13211350420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 13211350391 and 13211350400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13211350423) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 836896 + ... + 852535.

It is an arithmetic number, because the mean of its divisors is an integer number (638605296).

Almost surely, 213211350420 is an apocalyptic number.

13211350420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13211350420 is an abundant number, since it is smaller than the sum of its proper divisors (17441703788).

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

13211350420 is a wasteful number, since it uses less digits than its factorization.

13211350420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1689480 (or 1689478 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

Adding to 13211350420 its reverse (2405311231), we get a palindrome (15616661651).

The spelling of 13211350420 in words is "thirteen billion, two hundred eleven million, three hundred fifty thousand, four hundred twenty".

Divisors: 1 2 4 5 10 17 20 23 34 46 68 85 92 115 170 230 340 391 460 782 1564 1955 3910 7820 1689431 3378862 6757724 8447155 16894310 28720327 33788620 38856913 57440654 77713826 114881308 143601635 155427652 194284565 287203270 388569130 574406540 660567521 777138260 1321135042 2642270084 3302837605 6605675210 13211350420