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1103114100 = 22352112231499
BaseRepresentation
bin100000111000000…
…0010111101110100
32211212201000001210
41001300002331310
54224344122400
6301243321420
736223213044
oct10160027564
92755630053
101103114100
11516751a50
12269520270
1314770124a
14a670d724
1566c9d950
hex41c02f74

1103114100 has 144 divisors (see below), whose sum is σ = 3499776000. Its totient is φ = 266044800.

The previous prime is 1103114099. The next prime is 1103114107. The reversal of 1103114100 is 14113011.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1103114107) 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 47 ways as a sum of consecutive naturals, for example, 735151 + ... + 736649.

It is an arithmetic number, because the mean of its divisors is an integer number (24304000).

Almost surely, 21103114100 is an apocalyptic number.

1103114100 is a gapful number since it is divisible by the number (10) 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 1103114100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1749888000).

1103114100 is an abundant number, since it is smaller than the sum of its proper divisors (2396661900).

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

1103114100 is a wasteful number, since it uses less digits than its factorization.

1103114100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1750 (or 1743 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 12.

The square root of 1103114100 is about 33213.1615477961. The cubic root of 1103114100 is about 1033.2533259826.

Adding to 1103114100 its reverse (14113011), we get a palindrome (1117227111).

It can be divided in two parts, 110311 and 4100, that added together give a palindrome (114411).

The spelling of 1103114100 in words is "one billion, one hundred three million, one hundred fourteen thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 75 100 110 132 150 165 220 223 275 300 330 446 550 660 669 825 892 1100 1115 1338 1499 1650 2230 2453 2676 2998 3300 3345 4460 4497 4906 5575 5996 6690 7359 7495 8994 9812 11150 12265 13380 14718 14990 16489 16725 17988 22300 22485 24530 29436 29980 32978 33450 36795 37475 44970 49060 49467 61325 65956 66900 73590 74950 82445 89940 98934 112425 122650 147180 149900 164890 183975 197868 224850 245300 247335 329780 334277 367950 412225 449700 494670 668554 735900 824450 989340 1002831 1236675 1337108 1648900 1671385 2005662 2473350 3342770 3677047 4011324 4946700 5014155 6685540 7354094 8356925 10028310 11031141 14708188 16713850 18385235 20056620 22062282 25070775 33427700 36770470 44124564 50141550 55155705 73540940 91926175 100283100 110311410 183852350 220622820 275778525 367704700 551557050 1103114100