Search a number
-
+
13210323100 = 22521360716741
BaseRepresentation
bin11000100110110010…
…11000100010011100
31021002122112221111221
430103121120202130
5204023320314400
610022503023124
7645235615342
oct142331304234
937078487457
1013210323100
1156699792a7
12268813aaa4
131326b31940
148d4677992
15524b49c1a
hex31365889c

13210323100 has 72 divisors (see below), whose sum is σ = 30924215168. Its totient is φ = 4869331200.

The previous prime is 13210323047. The next prime is 13210323143. The reversal of 13210323100 is 132301231.

It is a super-2 number, since 2×132103231002 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 780730 + ... + 797470.

Almost surely, 213210323100 is an apocalyptic number.

13210323100 is a gapful number since it is divisible by the number (10) 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 13210323100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15462107584).

13210323100 is an abundant number, since it is smaller than the sum of its proper divisors (17713892068).

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

13210323100 is a wasteful number, since it uses less digits than its factorization.

13210323100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17375 (or 17368 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 13210323100 its reverse (132301231), we get a palindrome (13342624331).

The spelling of 13210323100 in words is "thirteen billion, two hundred ten million, three hundred twenty-three thousand, one hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 130 260 325 607 650 1214 1300 2428 3035 6070 7891 12140 15175 15782 16741 30350 31564 33482 39455 60700 66964 78910 83705 157820 167410 197275 217633 334820 394550 418525 435266 789100 837050 870532 1088165 1674100 2176330 4352660 5440825 10161787 10881650 20323574 21763300 40647148 50808935 101617870 132103231 203235740 254044675 264206462 508089350 528412924 660516155 1016178700 1321032310 2642064620 3302580775 6605161550 13210323100