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20303313444 = 22336110329921
BaseRepresentation
bin10010111010001010…
…111111101000100100
31221101222021012002000
4102322022333220210
5313040122012234
613154402245300
71316064213441
oct227212775044
957358235060
1020303313444
118679766997
123b27656830
131bb749594b
14da86bc9c8
157dc6d1899
hex4ba2bfa24

20303313444 has 96 divisors (see below), whose sum is σ = 54022375680. Its totient is φ = 6591974400.

The previous prime is 20303313427. The next prime is 20303313461. The reversal of 20303313444 is 44431330302.

20303313444 is a `hidden beast` number, since 2 + 0 + 303 + 313 + 4 + 44 = 666.

It is an interprime number because it is at equal distance from previous prime (20303313427) and next prime (20303313461).

It is a super-2 number, since 2×203033134442 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 663604 + ... + 693524.

It is an arithmetic number, because the mean of its divisors is an integer number (562733080).

Almost surely, 220303313444 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 20303313444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27011187840).

20303313444 is an abundant number, since it is smaller than the sum of its proper divisors (33719062236).

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

20303313444 is a wasteful number, since it uses less digits than its factorization.

20303313444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30098 (or 30090 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 27.

Adding to 20303313444 its reverse (44431330302), we get a palindrome (64734643746).

The spelling of 20303313444 in words is "twenty billion, three hundred three million, three hundred thirteen thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 61 103 108 122 183 206 244 309 366 412 549 618 732 927 1098 1236 1647 1854 2196 2781 3294 3708 5562 6283 6588 11124 12566 18849 25132 29921 37698 56547 59842 75396 89763 113094 119684 169641 179526 226188 269289 339282 359052 538578 678564 807867 1077156 1615734 1825181 3081863 3231468 3650362 5475543 6163726 7300724 9245589 10951086 12327452 16426629 18491178 21902172 27736767 32853258 36982356 49279887 55473534 65706516 83210301 98559774 110947068 166420602 187993643 197119548 332841204 375987286 563980929 751974572 1127961858 1691942787 2255923716 3383885574 5075828361 6767771148 10151656722 20303313444