Search a number
-
+
30022133020 = 22511435359879
BaseRepresentation
bin11011111101011101…
…010110010100011100
32212111021221101011121
4123331131112110130
5442441131224040
621443022300324
72111655630415
oct337535262434
985437841147
1030022133020
1111806790990
12599a4276a4
132aa5b44369
14164b36a80c
15baaa4bc4a
hex6fd75651c

30022133020 has 96 divisors (see below), whose sum is σ = 71706539520. Its totient is φ = 10461884160.

The previous prime is 30022132961. The next prime is 30022133021. The reversal of 30022133020 is 2033122003.

It is a junction number, because it is equal to n+sod(n) for n = 30022132985 and 30022133003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30022133021) 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, 471441 + ... + 531319.

It is an arithmetic number, because the mean of its divisors is an integer number (746943120).

Almost surely, 230022133020 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30022133020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35853269760).

30022133020 is an abundant number, since it is smaller than the sum of its proper divisors (41684406500).

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

30022133020 is a wasteful number, since it uses less digits than its factorization.

30022133020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59995 (or 59993 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 16.

Adding to 30022133020 its reverse (2033122003), we get a palindrome (32055255023).

The spelling of 30022133020 in words is "thirty billion, twenty-two million, one hundred thirty-three thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 43 44 53 55 86 106 110 172 212 215 220 265 430 473 530 583 860 946 1060 1166 1892 2279 2332 2365 2915 4558 4730 5830 9116 9460 11395 11660 22790 25069 45580 50138 59879 100276 119758 125345 239516 250690 299395 501380 598790 658669 1197580 1317338 2574797 2634676 3173587 3293345 5149594 6347174 6586690 10299188 12694348 12873985 13173380 15867935 25747970 28322767 31735870 34909457 51495940 56645534 63471740 69818914 113291068 136464241 139637828 141613835 174547285 272928482 283227670 349094570 545856964 566455340 682321205 698189140 1364642410 1501106651 2729284820 3002213302 6004426604 7505533255 15011066510 30022133020