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1103001120 = 253251358921
BaseRepresentation
bin100000110111110…
…0111011000100000
32211212111021002100
41001233213120200
54224332013440
6301241050400
736222232464
oct10157473040
92755437070
101103001120
11516685081
12269486a00
131476919b0
14a66c04a4
1566c7a230
hex41be7620

1103001120 has 144 divisors (see below), whose sum is σ = 4053597912. Its totient is φ = 271503360.

The previous prime is 1103001083. The next prime is 1103001131. The reversal of 1103001120 is 211003011.

It can be written as a sum of positive squares in 4 ways, for example, as 553755024 + 549246096 = 23532^2 + 23436^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×11030011202 = 2433222941442508800, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10741 + ... + 48180.

Almost surely, 21103001120 is an apocalyptic number.

1103001120 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 1103001120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2026798956).

1103001120 is an abundant number, since it is smaller than the sum of its proper divisors (2950596792).

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

1103001120 is a wasteful number, since it uses less digits than its factorization.

1103001120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58955 (or 58944 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

The square root of 1103001120 is about 33211.4606724847. The cubic root of 1103001120 is about 1033.2180498051.

Adding to 1103001120 its reverse (211003011), we get a palindrome (1314004131).

The spelling of 1103001120 in words is "one billion, one hundred three million, one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 26 30 32 36 39 40 45 48 52 60 65 72 78 80 90 96 104 117 120 130 144 156 160 180 195 208 234 240 260 288 312 360 390 416 468 480 520 585 624 720 780 936 1040 1170 1248 1440 1560 1872 2080 2340 3120 3744 4680 6240 9360 18720 58921 117842 176763 235684 294605 353526 471368 530289 589210 707052 765973 883815 942736 1060578 1178420 1414104 1531946 1767630 1885472 2121156 2297919 2356840 2651445 2828208 3063892 3535260 3829865 4242312 4595838 4713680 5302890 5656416 6127784 6893757 7070520 7659730 8484624 9191676 9427360 10605780 11489595 12255568 13787514 14141040 15319460 16969248 18383352 21211560 22979190 24511136 27575028 28282080 30638920 34468785 36766704 42423120 45958380 55150056 61277840 68937570 73533408 84846240 91916760 110300112 122555680 137875140 183833520 220600224 275750280 367667040 551500560 1103001120