Search a number
-
+
20131002200 = 23521752311321
BaseRepresentation
bin10010101111111001…
…101011011101011000
31220221222000212111002
4102233321223131120
5312212014032300
613125325124132
71311602460341
oct225771533530
956858025432
1020131002200
1185a0475a01
123a999b9648
131b8a88462a
14d8d8670c8
157cc4e65d5
hex4afe6b758

20131002200 has 96 divisors (see below), whose sum is σ = 49656933360. Its totient is φ = 7563571200.

The previous prime is 20131002197. The next prime is 20131002233. The reversal of 20131002200 is 220013102.

It is a happy number.

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, 1772540 + ... + 1783860.

Almost surely, 220131002200 is an apocalyptic number.

20131002200 is a gapful number since it is divisible by the number (20) 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 20131002200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24828466680).

20131002200 is an abundant number, since it is smaller than the sum of its proper divisors (29525931160).

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

20131002200 is a wasteful number, since it uses less digits than its factorization.

20131002200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11877 (or 11868 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

Adding to 20131002200 its reverse (220013102), we get a palindrome (20351015302).

The spelling of 20131002200 in words is "twenty billion, one hundred thirty-one million, two thousand, two hundred".

Divisors: 1 2 4 5 8 10 17 20 25 34 40 50 68 85 100 136 170 200 340 425 523 680 850 1046 1700 2092 2615 3400 4184 5230 8891 10460 11321 13075 17782 20920 22642 26150 35564 44455 45284 52300 56605 71128 88910 90568 104600 113210 177820 192457 222275 226420 283025 355640 384914 444550 452840 566050 769828 889100 962285 1132100 1539656 1778200 1924570 2264200 3849140 4811425 5920883 7698280 9622850 11841766 19245700 23683532 29604415 38491400 47367064 59208830 100655011 118417660 148022075 201310022 236835320 296044150 402620044 503275055 592088300 805240088 1006550110 1184176600 2013100220 2516375275 4026200440 5032750550 10065501100 20131002200