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1105303152 = 243107307701
BaseRepresentation
bin100000111100001…
…1001011001110000
32212000211012212210
41001320121121300
54230424200102
6301402252120
736250631112
oct10170313160
92760735783
101105303152
11517a07688
1226a1b7040
13147cb9745
14a6b1d3b2
156708236c
hex41e19670

1105303152 has 80 divisors (see below), whose sum is σ = 2895564672. Its totient is φ = 363283200.

The previous prime is 1105303151. The next prime is 1105303211. The reversal of 1105303152 is 2513035011.

It is a super-2 number, since 2×11053031522 = 2443390115642270208, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1105303151) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 1576402 + ... + 1577102.

Almost surely, 21105303152 is an apocalyptic number.

1105303152 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 1105303152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1447782336).

1105303152 is an abundant number, since it is smaller than the sum of its proper divisors (1790261520).

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

1105303152 is a wasteful number, since it uses less digits than its factorization.

1105303152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1126 (or 1120 counting only the distinct ones).

The product of its (nonzero) digits is 450, while the sum is 21.

The square root of 1105303152 is about 33246.0998013301. The cubic root of 1105303152 is about 1033.9363471224.

Adding to 1105303152 its reverse (2513035011), we get a palindrome (3618338163).

The spelling of 1105303152 in words is "one billion, one hundred five million, three hundred three thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 48 107 214 307 321 428 614 642 701 856 921 1228 1284 1402 1712 1842 2103 2456 2568 2804 3684 4206 4912 5136 5608 7368 8412 11216 14736 16824 32849 33648 65698 75007 98547 131396 150014 197094 215207 225021 262792 300028 394188 430414 450042 525584 600056 645621 788376 860828 900084 1200112 1291242 1576752 1721656 1800168 2582484 3443312 3600336 5164968 10329936 23027149 46054298 69081447 92108596 138162894 184217192 276325788 368434384 552651576 1105303152