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1201315320 = 233355571997
BaseRepresentation
bin100011110011010…
…1001110111111000
310002201111010211000
41013212221313320
54430014042240
6315112205000
741525004012
oct10746516770
93081433730
101201315320
11567124a87
12296399760
13161b6508a
14b57931b2
15706ea430
hex479a9df8

1201315320 has 128 divisors (see below), whose sum is σ = 4013582400. Its totient is φ = 319615488.

The previous prime is 1201315307. The next prime is 1201315321. The reversal of 1201315320 is 235131021.

1201315320 is a `hidden beast` number, since 1 + 2 + 0 + 131 + 532 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1201315293 and 1201315302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1201315321) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 600562 + ... + 602558.

Almost surely, 21201315320 is an apocalyptic number.

1201315320 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 1201315320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2006791200).

1201315320 is an abundant number, since it is smaller than the sum of its proper divisors (2812267080).

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

1201315320 is a wasteful number, since it uses less digits than its factorization.

1201315320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2574 (or 2564 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 1201315320 is about 34659.9959607614. The cubic root of 1201315320 is about 1063.0466874309.

Adding to 1201315320 its reverse (235131021), we get a palindrome (1436446341).

The spelling of 1201315320 in words is "one billion, two hundred one million, three hundred fifteen thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 108 120 135 180 216 270 360 540 557 1080 1114 1671 1997 2228 2785 3342 3994 4456 5013 5570 5991 6684 7988 8355 9985 10026 11140 11982 13368 15039 15976 16710 17973 19970 20052 22280 23964 25065 29955 30078 33420 35946 39940 40104 47928 50130 53919 59910 60156 66840 71892 75195 79880 89865 100260 107838 119820 120312 143784 150390 179730 200520 215676 239640 269595 300780 359460 431352 539190 601560 718920 1078380 1112329 2156760 2224658 3336987 4449316 5561645 6673974 8898632 10010961 11123290 13347948 16684935 20021922 22246580 26695896 30032883 33369870 40043844 44493160 50054805 60065766 66739740 80087688 100109610 120131532 133479480 150164415 200219220 240263064 300328830 400438440 600657660 1201315320