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30023322320 = 2452374321961
BaseRepresentation
bin11011111101100001…
…111000101011010000
32212111101011210120202
4123331201320223100
5442441432303240
621443103554332
72112002012645
oct337541705320
985441153522
1030023322320
1111807423482
12599a8bb9a8
132aa616c7a4
14164b599dcc
15baabd4315
hex6fd878ad0

30023322320 has 80 divisors (see below), whose sum is σ = 72940545792. Its totient is φ = 11471201280.

The previous prime is 30023322281. The next prime is 30023322337. The reversal of 30023322320 is 2322332003.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×300233223202 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 30023322292 and 30023322301.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1356140 + ... + 1378100.

Almost surely, 230023322320 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 30023322320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36470272896).

30023322320 is an abundant number, since it is smaller than the sum of its proper divisors (42917223472).

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

30023322320 is a wasteful number, since it uses less digits than its factorization.

30023322320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22740 (or 22734 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 20.

Adding to 30023322320 its reverse (2322332003), we get a palindrome (32345654323).

The spelling of 30023322320 in words is "thirty billion, twenty-three million, three hundred twenty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 23 40 46 80 92 115 184 230 368 460 743 920 1486 1840 2972 3715 5944 7430 11888 14860 17089 21961 29720 34178 43922 59440 68356 85445 87844 109805 136712 170890 175688 219610 273424 341780 351376 439220 505103 683560 878440 1010206 1367120 1756880 2020412 2525515 4040824 5051030 8081648 10102060 16317023 20204120 32634046 40408240 65268092 81585115 130536184 163170230 261072368 326340460 375291529 652680920 750583058 1305361840 1501166116 1876457645 3002332232 3752915290 6004664464 7505830580 15011661160 30023322320