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1101205152 = 25331916673
BaseRepresentation
bin100000110100011…
…0000111010100000
32211202010000111000
41001220300322200
54223402031102
6301134352000
736201042435
oct10150607240
92752100430
101101205152
11515668803
1226895b600
131471b33a8
14a6373b8c
1566a2301c
hex41a30ea0

1101205152 has 96 divisors (see below), whose sum is σ = 3229148160. Its totient is φ = 365091840.

The previous prime is 1101205111. The next prime is 1101205163. The reversal of 1101205152 is 2515021011.

It is a tau number, because it is divible by the number of its divisors (96).

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

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 15 ways as a sum of consecutive naturals, for example, 161688 + ... + 168360.

It is an arithmetic number, because the mean of its divisors is an integer number (33636960).

Almost surely, 21101205152 is an apocalyptic number.

1101205152 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 1101205152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1614574080).

1101205152 is an abundant number, since it is smaller than the sum of its proper divisors (2127943008).

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

1101205152 is a wasteful number, since it uses less digits than its factorization.

1101205152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6883 (or 6869 counting only the distinct ones).

The product of its (nonzero) digits is 100, while the sum is 18.

The square root of 1101205152 is about 33184.4112799971. The cubic root of 1101205152 is about 1032.6569640613.

Adding to 1101205152 its reverse (2515021011), we get a palindrome (3616226163).

The spelling of 1101205152 in words is "one billion, one hundred one million, two hundred five thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 191 216 288 382 432 573 764 864 1146 1528 1719 2292 3056 3438 4584 5157 6112 6673 6876 9168 10314 13346 13752 18336 20019 20628 26692 27504 40038 41256 53384 55008 60057 80076 82512 106768 120114 160152 165024 180171 213536 240228 320304 360342 480456 640608 720684 960912 1274543 1441368 1921824 2549086 2882736 3823629 5098172 5765472 7647258 10196344 11470887 15294516 20392688 22941774 30589032 34412661 40785376 45883548 61178064 68825322 91767096 122356128 137650644 183534192 275301288 367068384 550602576 1101205152