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1211131340 = 225175936007
BaseRepresentation
bin100100000110000…
…0110010111001100
310010101221211212022
41020030012113030
54440022200330
6320102425312
742004306106
oct11014062714
93111854768
101211131340
115717199a1
12299732238
13163bc0c83
14b6bca576
15714d8ae5
hex483065cc

1211131340 has 48 divisors (see below), whose sum is σ = 2697976512. Its totient is φ = 455110656.

The previous prime is 1211131333. The next prime is 1211131367. The reversal of 1211131340 is 431311121.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 198617 + ... + 204623.

It is an arithmetic number, because the mean of its divisors is an integer number (56207844).

Almost surely, 21211131340 is an apocalyptic number.

1211131340 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 1211131340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1348988256).

1211131340 is an abundant number, since it is smaller than the sum of its proper divisors (1486845172).

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

1211131340 is a wasteful number, since it uses less digits than its factorization.

1211131340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6626 (or 6624 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 17.

The square root of 1211131340 is about 34801.3123315774. The cubic root of 1211131340 is about 1065.9342430753.

Adding to 1211131340 its reverse (431311121), we get a palindrome (1642442461).

The spelling of 1211131340 in words is "one billion, two hundred eleven million, one hundred thirty-one thousand, three hundred forty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 340 593 1186 2372 2965 5930 6007 10081 11860 12014 20162 24028 30035 40324 50405 60070 100810 102119 120140 201620 204238 408476 510595 1021190 2042380 3562151 7124302 14248604 17810755 35621510 60556567 71243020 121113134 242226268 302782835 605565670 1211131340