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1220302330002 = 232773333139829
BaseRepresentation
bin10001110000011111101…
…011111101100010010010
311022122210222010100000200
4101300133223331202102
5124443134344030002
62332333230000030
7154110141442350
oct21603753754222
94278728110020
101220302330002
11430588941118
12178604946016
138b0c67c7b22
14430c4a2c7d0
1521b22275b1c
hex11c1fafd892

1220302330002 has 96 divisors (see below), whose sum is σ = 3064090673280. Its totient is φ = 343769806080.

The previous prime is 1220302329973. The next prime is 1220302330003. The reversal of 1220302330002 is 2000332030221.

It is a happy number.

1220302330002 is a `hidden beast` number, since 12 + 20 + 302 + 330 + 0 + 0 + 2 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (1220302330003) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 30618624 + ... + 30658452.

It is an arithmetic number, because the mean of its divisors is an integer number (31917611180).

Almost surely, 21220302330002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1220302330002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1532045336640).

1220302330002 is an abundant number, since it is smaller than the sum of its proper divisors (1843788343278).

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

1220302330002 is a wasteful number, since it uses less digits than its factorization.

1220302330002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43248 (or 43245 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 1220302330002 its reverse (2000332030221), we get a palindrome (3220634360223).

The spelling of 1220302330002 in words is "one trillion, two hundred twenty billion, three hundred two million, three hundred thirty thousand, two".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 73 126 146 219 438 511 657 1022 1314 1533 3066 3331 4599 6662 9198 9993 19986 23317 29979 39829 46634 59958 69951 79658 119487 139902 209853 238974 243163 278803 358461 419706 486326 557606 716922 729489 836409 1458978 1672818 1702141 2188467 2509227 2907517 3404282 4376934 5018454 5106423 5815034 8722551 10212846 15319269 17445102 20352619 26167653 30638538 40705238 52335306 61057857 122115714 132670399 183173571 265340798 366347142 398011197 796022394 928692793 1194033591 1857385586 2388067182 2786078379 5572156758 8358235137 9684939127 16716470274 19369878254 29054817381 58109634762 67794573889 87164452143 135589147778 174328904286 203383721667 406767443334 610151165001 1220302330002