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1343112100 = 225211310091
BaseRepresentation
bin101000000001110…
…0100001110100100
310110121022011102121
41100003210032210
510222314041400
6341135315324
745166156501
oct12003441644
93417264377
101343112100
1162a174000
1231597bb44
131853511b5
14ca5444a8
157cda921a
hex500e43a4

1343112100 has 72 divisors (see below), whose sum is σ = 3206107296. Its totient is φ = 488356000.

The previous prime is 1343112097. The next prime is 1343112161. The reversal of 1343112100 is 12113431.

It is a super-2 number, since 2×13431121002 = 3607900226332820000, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 128055 + ... + 138145.

It is an arithmetic number, because the mean of its divisors is an integer number (44529268).

Almost surely, 21343112100 is an apocalyptic number.

1343112100 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 1343112100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1603053648).

1343112100 is an abundant number, since it is smaller than the sum of its proper divisors (1862995196).

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

1343112100 is a wasteful number, since it uses less digits than its factorization.

1343112100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10138 (or 10109 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

The square root of 1343112100 is about 36648.4938298970. The cubic root of 1343112100 is about 1103.3265963045.

Adding to 1343112100 its reverse (12113431), we get a palindrome (1355225531).

The spelling of 1343112100 in words is "one billion, three hundred forty-three million, one hundred twelve thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 121 220 242 275 484 550 605 1100 1210 1331 2420 2662 3025 5324 6050 6655 10091 12100 13310 20182 26620 33275 40364 50455 66550 100910 111001 133100 201820 222002 252275 444004 504550 555005 1009100 1110010 1221011 2220020 2442022 2775025 4884044 5550050 6105055 11100100 12210110 13431121 24420220 26862242 30525275 53724484 61050550 67155605 122101100 134311210 268622420 335778025 671556050 1343112100