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20302211028 = 22311220816719
BaseRepresentation
bin10010111010000110…
…110010011111010100
31221101220012011211210
4102322012302133110
5313034331223103
613154322501420
71316051642421
oct227206623724
957356164753
1020302211028
118679083700
123b27204870
131bb719ac28
14da84b2d48
157dc564e03
hex4ba1b27d4

20302211028 has 72 divisors (see below), whose sum is σ = 52102632960. Its totient is φ = 6148313600.

The previous prime is 20302211009. The next prime is 20302211029. The reversal of 20302211028 is 82011220302.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 20302210995 and 20302211013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20302211029) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3018253 + ... + 3024971.

It is an arithmetic number, because the mean of its divisors is an integer number (723647680).

Almost surely, 220302211028 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 20302211028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26051316480).

20302211028 is an abundant number, since it is smaller than the sum of its proper divisors (31800421932).

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

20302211028 is a wasteful number, since it uses less digits than its factorization.

20302211028 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8829 (or 8816 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The spelling of 20302211028 in words is "twenty billion, three hundred two million, two hundred eleven thousand, twenty-eight".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 121 132 242 363 484 726 1452 2081 4162 6243 6719 8324 12486 13438 20157 22891 24972 26876 40314 45782 68673 73909 80628 91564 137346 147818 221727 251801 274692 295636 443454 503602 755403 812999 886908 1007204 1510806 1625998 2438997 3021612 3251996 4877994 9755988 13982239 27964478 41946717 55928956 83893434 153804629 167786868 307609258 461413887 615218516 922827774 1691850919 1845655548 3383701838 5075552757 6767403676 10151105514 20302211028