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1201003320 = 2335115317167
BaseRepresentation
bin100011110010101…
…1101101100111000
310002200220021211110
41013211131230320
54424424101240
6315101400320
741522234256
oct10745355470
93080807743
101201003320
11566a31630
122962690a0
13161a8606a
14b57115d6
1570687c80
hex4795db38

1201003320 has 128 divisors (see below), whose sum is σ = 4004951040. Its totient is φ = 285642240.

The previous prime is 1201003249. The next prime is 1201003337. The reversal of 1201003320 is 233001021.

It is a happy number.

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 = 1201003296 and 1201003305.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 61377 + ... + 78543.

It is an arithmetic number, because the mean of its divisors is an integer number (31288680).

Almost surely, 21201003320 is an apocalyptic number.

1201003320 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 1201003320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2002475520).

1201003320 is an abundant number, since it is smaller than the sum of its proper divisors (2803947720).

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

1201003320 is a wasteful number, since it uses less digits than its factorization.

1201003320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17245 (or 17241 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 1201003320 is about 34655.4948024119. The cubic root of 1201003320 is about 1062.9546496235.

Adding to 1201003320 its reverse (233001021), we get a palindrome (1434004341).

The spelling of 1201003320 in words is "one billion, two hundred one million, three thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 53 55 60 66 88 106 110 120 132 159 165 212 220 264 265 318 330 424 440 530 583 636 660 795 1060 1166 1272 1320 1590 1749 2120 2332 2915 3180 3498 4664 5830 6360 6996 8745 11660 13992 17167 17490 23320 34334 34980 51501 68668 69960 85835 103002 137336 171670 188837 206004 257505 343340 377674 412008 515010 566511 686680 755348 909851 944185 1030020 1133022 1510696 1819702 1888370 2060040 2266044 2729553 2832555 3639404 3776740 4532088 4549255 5459106 5665110 7278808 7553480 9098510 10008361 10918212 11330220 13647765 18197020 20016722 21836424 22660440 27295530 30025083 36394040 40033444 50041805 54591060 60050166 80066888 100083610 109182120 120100332 150125415 200167220 240200664 300250830 400334440 600501660 1201003320