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1101342132 = 2232116194493
BaseRepresentation
bin100000110100101…
…0010010110110100
32211202100222101100
41001221102112310
54223420422012
6301141330100
736202153002
oct10151222664
92752328340
101101342132
11515751710
12268a06930
13147230847
14a63aba72
1566a4d8dc
hex41a525b4

1101342132 has 72 divisors (see below), whose sum is σ = 3042617760. Its totient is φ = 333126720.

The previous prime is 1101342107. The next prime is 1101342149. The reversal of 1101342132 is 2312431011.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 242878 + ... + 247370.

It is an arithmetic number, because the mean of its divisors is an integer number (42258580).

Almost surely, 21101342132 is an apocalyptic number.

1101342132 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 1101342132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1521308880).

1101342132 is an abundant number, since it is smaller than the sum of its proper divisors (1941275628).

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

1101342132 is a wasteful number, since it uses less digits than its factorization.

1101342132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5133 (or 5128 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 1101342132 is about 33186.4751367180. The cubic root of 1101342132 is about 1032.6997800271.

Adding to 1101342132 its reverse (2312431011), we get a palindrome (3413773143).

The spelling of 1101342132 in words is "one billion, one hundred one million, three hundred forty-two thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 619 1238 1857 2476 3714 4493 5571 6809 7428 8986 11142 13479 13618 17972 20427 22284 26958 27236 40437 40854 49423 53916 61281 80874 81708 98846 122562 148269 161748 197692 245124 296538 444807 593076 889614 1779228 2781167 5562334 8343501 11124668 16687002 25030503 30592837 33374004 50061006 61185674 91778511 100122012 122371348 183557022 275335533 367114044 550671066 1101342132