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1101301320 = 233576121493
BaseRepresentation
bin100000110100100…
…1000011001001000
32211202021220101210
41001221020121020
54223413120240
6301140413120
736201623010
oct10151103110
92752256353
101101301320
11515723a89
122689a71a0
131472180b2
14a639ac40
1566a41780
hex41a48648

1101301320 has 128 divisors (see below), whose sum is σ = 3837968640. Its totient is φ = 247587840.

The previous prime is 1101301297. The next prime is 1101301367. The reversal of 1101301320 is 231031011.

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

It is a junction number, because it is equal to n+sod(n) for n = 1101301296 and 1101301305.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 40494 + ... + 61986.

It is an arithmetic number, because the mean of its divisors is an integer number (29984130).

Almost surely, 21101301320 is an apocalyptic number.

1101301320 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 1101301320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1918984320).

1101301320 is an abundant number, since it is smaller than the sum of its proper divisors (2736667320).

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

1101301320 is a wasteful number, since it uses less digits than its factorization.

1101301320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21575 (or 21571 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

The square root of 1101301320 is about 33185.8602419766. The cubic root of 1101301320 is about 1032.6870237537.

Adding to 1101301320 its reverse (231031011), we get a palindrome (1332332331).

The spelling of 1101301320 in words is "one billion, one hundred one million, three hundred one thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 61 70 84 105 120 122 140 168 183 210 244 280 305 366 420 427 488 610 732 840 854 915 1220 1281 1464 1708 1830 2135 2440 2562 3416 3660 4270 5124 6405 7320 8540 10248 12810 17080 21493 25620 42986 51240 64479 85972 107465 128958 150451 171944 214930 257916 300902 322395 429860 451353 515832 601804 644790 752255 859720 902706 1203608 1289580 1311073 1504510 1805412 2256765 2579160 2622146 3009020 3610824 3933219 4513530 5244292 6018040 6555365 7866438 9027060 9177511 10488584 13110730 15732876 18054120 18355022 19666095 26221460 27532533 31465752 36710044 39332190 45887555 52442920 55065066 73420088 78664380 91775110 110130132 137662665 157328760 183550220 220260264 275325330 367100440 550650660 1101301320