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13220075100 = 22352157280681
BaseRepresentation
bin11000100111111101…
…00101011001011100
31021010022220101202010
430103332211121130
5204033314400400
610023452031220
7645414533001
oct142376453134
937108811663
1013220075100
11567442a101
12268b462510
131328b6765b
148d5a958a8
15525924450
hex313fa565c

13220075100 has 72 divisors (see below), whose sum is σ = 38493852208. Its totient is φ = 3502886400.

The previous prime is 13220075093. The next prime is 13220075107. The reversal of 13220075100 is 157002231.

It is an interprime number because it is at equal distance from previous prime (13220075093) and next prime (13220075107).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13220075107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 93241 + ... + 187440.

Almost surely, 213220075100 is an apocalyptic number.

13220075100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13220075100 is an abundant number, since it is smaller than the sum of its proper divisors (25273777108).

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

13220075100 is a wasteful number, since it uses less digits than its factorization.

13220075100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280855 (or 280848 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 21.

Adding to 13220075100 its reverse (157002231), we get a palindrome (13377077331).

The spelling of 13220075100 in words is "thirteen billion, two hundred twenty million, seventy-five thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 157 300 314 471 628 785 942 1570 1884 2355 3140 3925 4710 7850 9420 11775 15700 23550 47100 280681 561362 842043 1122724 1403405 1684086 2806810 3368172 4210215 5613620 7017025 8420430 14034050 16840860 21051075 28068100 42102150 44066917 84204300 88133834 132200751 176267668 220334585 264401502 440669170 528803004 661003755 881338340 1101672925 1322007510 2203345850 2644015020 3305018775 4406691700 6610037550 13220075100