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1104020010 = 2335231391279
BaseRepresentation
bin100000111001110…
…0000001000101010
32211221102000202000
41001303200020222
54230112120020
6301314551430
736234005142
oct10163401052
92757360660
101104020010
11517210635
12269898576
1314795a6a2
14a68a7922
1566dcc090
hex41ce022a

1104020010 has 128 divisors (see below), whose sum is σ = 3096576000. Its totient is φ = 279360576.

The previous prime is 1104019999. The next prime is 1104020011. The reversal of 1104020010 is 100204011.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 1104019974 and 1104020001.

It is not an unprimeable number, because it can be changed into a prime (1104020011) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 862551 + ... + 863829.

It is an arithmetic number, because the mean of its divisors is an integer number (24192000).

Almost surely, 21104020010 is an apocalyptic number.

1104020010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1104020010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1548288000).

1104020010 is an abundant number, since it is smaller than the sum of its proper divisors (1992555990).

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

1104020010 is a wasteful number, since it uses less digits than its factorization.

1104020010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1457 (or 1451 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 1104020010 is about 33226.7965654229. The cubic root of 1104020010 is about 1033.5360946778.

Adding to 1104020010 its reverse (100204011), we get a palindrome (1204224021).

The spelling of 1104020010 in words is "one billion, one hundred four million, twenty thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 23 27 30 45 46 54 69 90 115 135 138 139 207 230 270 278 345 414 417 621 690 695 834 1035 1242 1251 1279 1390 2070 2085 2502 2558 3105 3197 3753 3837 4170 6210 6255 6394 6395 7506 7674 9591 11511 12510 12790 15985 18765 19182 19185 23022 28773 29417 31970 34533 37530 38370 47955 57546 57555 58834 69066 86319 88251 95910 115110 143865 147085 172638 172665 176502 177781 264753 287730 294170 345330 355562 431595 441255 529506 533343 794259 863190 882510 888905 1066686 1323765 1588518 1600029 1777810 2647530 2666715 3200058 3971295 4088963 4800087 5333430 7942590 8000145 8177926 9600174 12266889 16000290 20444815 24000435 24533778 36800667 40889630 48000870 61334445 73601334 110402001 122668890 184003335 220804002 368006670 552010005 1104020010