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1103056152 = 23311171072297
BaseRepresentation
bin100000110111111…
…0100110100011000
32211212121001120120
41001233310310120
54224340244102
6301242153240
736222552102
oct10157646430
92755531516
101103056152
11516712460
122694b2820
131476b0a63
14a66d6572
1566c8b6bc
hex41bf4d18

1103056152 has 128 divisors (see below), whose sum is σ = 3216464640. Its totient is φ = 311521280.

The previous prime is 1103056147. The next prime is 1103056159. The reversal of 1103056152 is 2516503011.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1103056159) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 479068 + ... + 481364.

It is an arithmetic number, because the mean of its divisors is an integer number (25128630).

Almost surely, 21103056152 is an apocalyptic number.

1103056152 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 1103056152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1608232320).

1103056152 is an abundant number, since it is smaller than the sum of its proper divisors (2113408488).

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

1103056152 is a wasteful number, since it uses less digits than its factorization.

1103056152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2441 (or 2437 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 24.

The square root of 1103056152 is about 33212.2891713293. The cubic root of 1103056152 is about 1033.2352329578.

Adding to 1103056152 its reverse (2516503011), we get a palindrome (3619559163).

The spelling of 1103056152 in words is "one billion, one hundred three million, fifty-six thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 11 12 17 22 24 33 34 44 51 66 68 88 102 107 132 136 187 204 214 264 321 374 408 428 561 642 748 856 1122 1177 1284 1496 1819 2244 2297 2354 2568 3531 3638 4488 4594 4708 5457 6891 7062 7276 9188 9416 10914 13782 14124 14552 18376 20009 21828 25267 27564 28248 39049 40018 43656 50534 55128 60027 75801 78098 80036 101068 117147 120054 151602 156196 160072 202136 234294 240108 245779 303204 312392 429539 468588 480216 491558 606408 737337 859078 937176 983116 1288617 1474674 1718156 1966232 2577234 2703569 2949348 3436312 4178243 5154468 5407138 5898696 8110707 8356486 10308936 10814276 12534729 16221414 16712972 21628552 25069458 32442828 33425944 45960673 50138916 64885656 91921346 100277832 137882019 183842692 275764038 367685384 551528076 1103056152