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4300133120 = 28510731397
BaseRepresentation
bin1000000000100111…
…01101001100000000
3102002200110101200122
410000103231030000
532301313224440
61550410435412
7211363346153
oct40023551400
912080411618
104300133120
111907349728
12a00132b68
13536b67c8a
142cb15dc9a
151a27ad7b5
hex1004ed300

4300133120 has 72 divisors (see below), whose sum is σ = 10396756944. Its totient is φ = 1703923712.

The previous prime is 4300133113. The next prime is 4300133129. The reversal of 4300133120 is 213310034.

It is a happy number.

It is a super-2 number, since 2×43001331202 = 36982289699441868800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4300133129) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 121262 + ... + 152658.

It is an arithmetic number, because the mean of its divisors is an integer number (144399402).

Almost surely, 24300133120 is an apocalyptic number.

4300133120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4300133120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5198378472).

4300133120 is an abundant number, since it is smaller than the sum of its proper divisors (6096623824).

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

4300133120 is a wasteful number, since it uses less digits than its factorization.

4300133120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31525 (or 31511 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

The square root of 4300133120 is about 65575.4002656484. The cubic root of 4300133120 is about 1626.1501121935.

Adding to 4300133120 its reverse (213310034), we get a palindrome (4513443154).

The spelling of 4300133120 in words is "four billion, three hundred million, one hundred thirty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 107 128 160 214 256 320 428 535 640 856 1070 1280 1712 2140 3424 4280 6848 8560 13696 17120 27392 31397 34240 62794 68480 125588 136960 156985 251176 313970 502352 627940 1004704 1255880 2009408 2511760 3359479 4018816 5023520 6718958 8037632 10047040 13437916 16797395 20094080 26875832 33594790 40188160 53751664 67189580 107503328 134379160 215006656 268758320 430013312 537516640 860026624 1075033280 2150066560 4300133120