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1103134120 = 23511101103241
BaseRepresentation
bin100000111000000…
…0111110110101000
32211212202000112021
41001300013312220
54224400242440
6301243554224
736223325314
oct10160076650
92755660467
101103134120
11516765aa0
1226952b974
1314770a3aa
14a6716b44
1566ca484a
hex41c07da8

1103134120 has 128 divisors (see below), whose sum is σ = 2772506880. Its totient is φ = 391680000.

The previous prime is 1103134111. The next prime is 1103134127. The reversal of 1103134120 is 214313011.

It is a junction number, because it is equal to n+sod(n) for n = 1103134094 and 1103134103.

It is not an unprimeable number, because it can be changed into a prime (1103134127) 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 31 ways as a sum of consecutive naturals, for example, 4577200 + ... + 4577440.

It is an arithmetic number, because the mean of its divisors is an integer number (21660210).

Almost surely, 21103134120 is an apocalyptic number.

1103134120 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 1103134120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1386253440).

1103134120 is an abundant number, since it is smaller than the sum of its proper divisors (1669372760).

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

1103134120 is a wasteful number, since it uses less digits than its factorization.

1103134120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 467 (or 463 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

The square root of 1103134120 is about 33213.4629329734. The cubic root of 1103134120 is about 1033.2595766525.

Adding to 1103134120 its reverse (214313011), we get a palindrome (1317447131).

The spelling of 1103134120 in words is "one billion, one hundred three million, one hundred thirty-four thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 101 103 110 202 206 220 241 404 412 440 482 505 515 808 824 964 1010 1030 1111 1133 1205 1928 2020 2060 2222 2266 2410 2651 4040 4120 4444 4532 4820 5302 5555 5665 8888 9064 9640 10403 10604 11110 11330 13255 20806 21208 22220 22660 24341 24823 26510 41612 44440 45320 48682 49646 52015 53020 83224 97364 99292 104030 106040 114433 121705 124115 194728 198584 208060 228866 243410 248230 267751 273053 416120 457732 486820 496460 535502 546106 572165 915464 973640 992920 1071004 1092212 1144330 1338755 1365265 2142008 2184424 2288660 2507123 2677510 2730530 4577320 5014246 5355020 5461060 10028492 10710040 10922120 12535615 20056984 25071230 27578353 50142460 55156706 100284920 110313412 137891765 220626824 275783530 551567060 1103134120