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20301333012 = 22323777319717
BaseRepresentation
bin10010111010000011…
…011100001000010100
31221101211112120102200
4102322003130020110
5313034120124022
613154252004500
71316041324542
oct227203341024
957354476380
1020301333012
118678633a74
123b26a60730
131bb6c513ac
14da8324d92
157dc43ebac
hex4ba0dc214

20301333012 has 72 divisors (see below), whose sum is σ = 52775069256. Its totient is φ = 6575364864.

The previous prime is 20301332981. The next prime is 20301333053. The reversal of 20301333012 is 21033310302.

20301333012 is a `hidden beast` number, since 20 + 301 + 3 + 330 + 12 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 158911236 + 20142421776 = 12606^2 + 141924^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1019778 + ... + 1039494.

It is an arithmetic number, because the mean of its divisors is an integer number (732987073).

Almost surely, 220301333012 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 20301333012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26387534628).

20301333012 is an abundant number, since it is smaller than the sum of its proper divisors (32473736244).

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

20301333012 is a wasteful number, since it uses less digits than its factorization.

20301333012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20537 (or 20532 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 20301333012 its reverse (21033310302), we get a palindrome (41334643314).

The spelling of 20301333012 in words is "twenty billion, three hundred one million, three hundred thirty-three thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 36 37 74 111 148 222 333 444 666 773 1332 1546 2319 3092 4638 6957 9276 13914 19717 27828 28601 39434 57202 59151 78868 85803 114404 118302 171606 177453 236604 257409 343212 354906 514818 709812 729529 1029636 1459058 2188587 2918116 4377174 6565761 8754348 13131522 15241241 26263044 30482482 45723723 60964964 91447446 137171169 182894892 274342338 548684676 563925917 1127851834 1691777751 2255703668 3383555502 5075333253 6767111004 10150666506 20301333012