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43132300420 = 225111634212857
BaseRepresentation
bin101000001010111000…
…101010110010000100
311010022222000212220011
4220022320222302010
51201313332103140
631451550520004
73054600334666
oct501270526204
9133288025804
1043132300420
1117324071780
128438b06004
1340b4ca9671
1421325b2536
1511c69b0cea
hexa0ae2ac84

43132300420 has 96 divisors (see below), whose sum is σ = 99689417856. Its totient is φ = 15545779200.

The previous prime is 43132300391. The next prime is 43132300429. The reversal of 43132300420 is 2400323134.

It is a happy number.

It is a super-2 number, since 2×431323004202 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 43132300391 and 43132300400.

It is not an unprimeable number, because it can be changed into a prime (43132300429) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15095632 + ... + 15098488.

It is an arithmetic number, because the mean of its divisors is an integer number (1038431436).

Almost surely, 243132300420 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 43132300420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49844708928).

43132300420 is an abundant number, since it is smaller than the sum of its proper divisors (56557117436).

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

43132300420 is a wasteful number, since it uses less digits than its factorization.

43132300420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3461 (or 3459 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 22.

Adding to 43132300420 its reverse (2400323134), we get a palindrome (45532623554).

The spelling of 43132300420 in words is "forty-three billion, one hundred thirty-two million, three hundred thousand, four hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 163 220 326 421 652 815 842 1630 1684 1793 2105 2857 3260 3586 4210 4631 5714 7172 8420 8965 9262 11428 14285 17930 18524 23155 28570 31427 35860 46310 57140 62854 68623 92620 125708 137246 157135 274492 314270 343115 465691 628540 686230 754853 931382 1202797 1372460 1509706 1862764 2328455 2405594 3019412 3774265 4656910 4811188 5122601 6013985 7548530 9313820 10245202 12027970 13230767 15097060 20490404 24055940 25613005 26461534 51226010 52923068 66153835 102452020 132307670 196055911 264615340 392111822 784223644 980279555 1960559110 2156615021 3921118220 4313230042 8626460084 10783075105 21566150210 43132300420