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1201330032 = 24374497963
BaseRepresentation
bin100011110011010…
…1101011101110000
310002201111212222220
41013212231131300
54430020030112
6315112401040
741525064630
oct10746553560
93081455886
101201330032
11567135041
122963a6180
13161b6b996
14b57986c0
15706ee98c
hex479ad770

1201330032 has 80 divisors (see below), whose sum is σ = 3555129600. Its totient is φ = 342429696.

The previous prime is 1201330021. The next prime is 1201330037. The reversal of 1201330032 is 2300331021.

It is a junction number, because it is equal to n+sod(n) for n = 1201329993 and 1201330020.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1201330037) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 146883 + ... + 154845.

It is an arithmetic number, because the mean of its divisors is an integer number (44439120).

Almost surely, 21201330032 is an apocalyptic number.

1201330032 is a gapful number since it is divisible by the number (12) 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 1201330032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1777564800).

1201330032 is an abundant number, since it is smaller than the sum of its proper divisors (2353799568).

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

1201330032 is a wasteful number, since it uses less digits than its factorization.

1201330032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8430 (or 8424 counting only the distinct ones).

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

The square root of 1201330032 is about 34660.2081932582. The cubic root of 1201330032 is about 1063.0510269740.

Adding to 1201330032 its reverse (2300331021), we get a palindrome (3501661053).

The spelling of 1201330032 in words is "one billion, two hundred one million, three hundred thirty thousand, thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 449 898 1347 1796 2694 3143 3592 5388 6286 7184 7963 9429 10776 12572 15926 18858 21552 23889 25144 31852 37716 47778 50288 55741 63704 75432 95556 111482 127408 150864 167223 191112 222964 334446 382224 445928 668892 891856 1337784 2675568 3575387 7150774 10726161 14301548 21452322 25027709 28603096 42904644 50055418 57206192 75083127 85809288 100110836 150166254 171618576 200221672 300332508 400443344 600665016 1201330032