Search a number
-
+
30521205306 = 232171132833119
BaseRepresentation
bin11100011011001101…
…001010001000111010
32220210002000212122100
4130123031022020322
51000001412032211
622004331204230
72130225651564
oct343315121072
986702025570
1030521205306
1111a42474319
125ab95a6676
132b553630c7
141697760334
15bd9780156
hex71b34a23a

30521205306 has 96 divisors (see below), whose sum is σ = 70911210240. Its totient is φ = 9453975552.

The previous prime is 30521205271. The next prime is 30521205307. The reversal of 30521205306 is 60350212503.

30521205306 is a `hidden beast` number, since 3 + 0 + 5 + 2 + 120 + 530 + 6 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 30521205306.

It is not an unprimeable number, because it can be changed into a prime (30521205307) 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 47 ways as a sum of consecutive naturals, for example, 9784015 + ... + 9787133.

It is an arithmetic number, because the mean of its divisors is an integer number (738658440).

Almost surely, 230521205306 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30521205306, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35455605120).

30521205306 is an abundant number, since it is smaller than the sum of its proper divisors (40390004934).

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

30521205306 is a wasteful number, since it uses less digits than its factorization.

30521205306 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3540 (or 3537 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

Adding to 30521205306 its reverse (60350212503), we get a palindrome (90871417809).

The spelling of 30521205306 in words is "thirty billion, five hundred twenty-one million, two hundred five thousand, three hundred six".

Divisors: 1 2 3 6 9 17 18 34 51 102 113 153 226 283 306 339 566 678 849 1017 1698 1921 2034 2547 3119 3842 4811 5094 5763 6238 9357 9622 11526 14433 17289 18714 28071 28866 31979 34578 43299 53023 56142 63958 86598 95937 106046 159069 191874 287811 318138 352447 477207 543643 575622 704894 882677 954414 1057341 1087286 1630929 1765354 2114682 2648031 3172023 3261858 4892787 5296062 5991599 6344046 7944093 9785574 11983198 15005509 15888186 17974797 30011018 35949594 45016527 53924391 90033054 99742501 107848782 135049581 199485002 270099162 299227503 598455006 897682509 1695622517 1795365018 3391245034 5086867551 10173735102 15260602653 30521205306