Search a number
-
+
13321332200 = 23521147128833
BaseRepresentation
bin11000110100000001…
…10110010111101000
31021101101102210101002
430122000312113220
5204240230112300
610041510214132
7651054312131
oct143200662750
937341383332
1013321332200
1157165aa060
1226b9354348
131343b2b3b7
149052d2c88
1552e7765d5
hex31a0365e8

13321332200 has 96 divisors (see below), whose sum is σ = 34506898560. Its totient is φ = 4741017600.

The previous prime is 13321332191. The next prime is 13321332203. The reversal of 13321332200 is 223312331.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (13321332203) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 38984 + ... + 167816.

It is an arithmetic number, because the mean of its divisors is an integer number (359446860).

Almost surely, 213321332200 is an apocalyptic number.

13321332200 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 13321332200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17253449280).

13321332200 is an abundant number, since it is smaller than the sum of its proper divisors (21185566360).

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

13321332200 is a wasteful number, since it uses less digits than its factorization.

13321332200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128907 (or 128898 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

Adding to 13321332200 its reverse (223312331), we get a palindrome (13544644531).

The spelling of 13321332200 in words is "thirteen billion, three hundred twenty-one million, three hundred thirty-two thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 47 50 55 88 94 100 110 188 200 220 235 275 376 440 470 517 550 940 1034 1100 1175 1880 2068 2200 2350 2585 4136 4700 5170 9400 10340 12925 20680 25850 51700 103400 128833 257666 515332 644165 1030664 1288330 1417163 2576660 2834326 3220825 5153320 5668652 6055151 6441650 7085815 11337304 12110302 12883300 14171630 24220604 25766600 28343260 30275755 35429075 48441208 56686520 60551510 66606661 70858150 121103020 133213322 141716300 151378775 242206040 266426644 283432600 302757550 333033305 532853288 605515100 666066610 1211030200 1332133220 1665166525 2664266440 3330333050 6660666100 13321332200