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1201303320 = 233573146133
BaseRepresentation
bin100011110011010…
…0110111100011000
310002201110112100120
41013212212330120
54430013201240
6315112033240
741524624020
oct10746467430
93081415316
101201303320
11567116a68
12296392820
13161b5c789
14b578ca80
15706e6ad0
hex479a6f18

1201303320 has 128 divisors (see below), whose sum is σ = 4251709440. Its totient is φ = 265720320.

The previous prime is 1201303303. The next prime is 1201303333. The reversal of 1201303320 is 233031021.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1201303320.

It is a congruent number.

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, 2974 + ... + 49106.

It is an arithmetic number, because the mean of its divisors is an integer number (33216480).

Almost surely, 21201303320 is an apocalyptic number.

1201303320 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 1201303320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2125854720).

1201303320 is an abundant number, since it is smaller than the sum of its proper divisors (3050406120).

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

1201303320 is a wasteful number, since it uses less digits than its factorization.

1201303320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46185 (or 46181 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

The square root of 1201303320 is about 34659.8228500955. The cubic root of 1201303320 is about 1063.0431478099.

Adding to 1201303320 its reverse (233031021), we get a palindrome (1434334341).

The spelling of 1201303320 in words is "one billion, two hundred one million, three hundred three thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 31 35 40 42 56 60 62 70 84 93 105 120 124 140 155 168 186 210 217 248 280 310 372 420 434 465 620 651 744 840 868 930 1085 1240 1302 1736 1860 2170 2604 3255 3720 4340 5208 6510 8680 13020 26040 46133 92266 138399 184532 230665 276798 322931 369064 461330 553596 645862 691995 922660 968793 1107192 1291724 1383990 1430123 1614655 1845320 1937586 2583448 2767980 2860246 3229310 3875172 4290369 4843965 5535960 5720492 6458620 7150615 7750344 8580738 9687930 10010861 11440984 12917240 14301230 17161476 19375860 20021722 21451845 28602460 30032583 34322952 38751720 40043444 42903690 50054305 57204920 60065166 80086888 85807380 100108610 120130332 150162915 171614760 200217220 240260664 300325830 400434440 600651660 1201303320