Search a number
-
+
1101411312 = 24389347743
BaseRepresentation
bin100000110100110…
…0011001111110000
32211202111111021120
41001221203033300
54223430130222
6301143022240
736202561461
oct10151431760
92752444246
101101411312
11515799691
12268a3a980
13147256191
14a63c8d68
1566a6415c
hex41a633f0

1101411312 has 80 divisors (see below), whose sum is σ = 2889457920. Its totient is φ = 361478656.

The previous prime is 1101411299. The next prime is 1101411341. The reversal of 1101411312 is 2131141011.

It is a super-2 number, since 2×11014113122 = 2426213756403122688, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1101411291 and 1101411300.

It is a congruent number.

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, 1482013 + ... + 1482755.

It is an arithmetic number, because the mean of its divisors is an integer number (36118224).

Almost surely, 21101411312 is an apocalyptic number.

1101411312 is a gapful number since it is divisible by the number (12) 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 1101411312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1444728960).

1101411312 is an abundant number, since it is smaller than the sum of its proper divisors (1788046608).

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

1101411312 is a wasteful number, since it uses less digits than its factorization.

1101411312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1190 (or 1184 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 15.

The square root of 1101411312 is about 33187.5174124248. The cubic root of 1101411312 is about 1032.7214023346.

Adding to 1101411312 its reverse (2131141011), we get a palindrome (3232552323).

The spelling of 1101411312 in words is "one billion, one hundred one million, four hundred eleven thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 48 89 178 267 347 356 534 694 712 743 1041 1068 1388 1424 1486 2082 2136 2229 2776 2972 4164 4272 4458 5552 5944 8328 8916 11888 16656 17832 30883 35664 61766 66127 92649 123532 132254 185298 198381 247064 257821 264508 370596 396762 494128 515642 529016 741192 773463 793524 1031284 1058032 1482384 1546926 1587048 2062568 3093852 3174096 4125136 6187704 12375408 22946069 45892138 68838207 91784276 137676414 183568552 275352828 367137104 550705656 1101411312