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43423012100 = 225213219313313
BaseRepresentation
bin101000011100001101…
…101001010100000100
311011002020001120100102
4220130031221110010
51202412242341400
631540453503232
73065030340626
oct503415512404
9134066046312
1043423012100
1117463181766
1284ba341b18
1341302a4800
14215d048c16
1511e22879d5
hexa1c369504

43423012100 has 108 divisors (see below), whose sum is σ = 102570177276. Its totient is φ = 15948840960.

The previous prime is 43423012097. The next prime is 43423012103. The reversal of 43423012100 is 121032434.

It is an interprime number because it is at equal distance from previous prime (43423012097) and next prime (43423012103).

It can be written as a sum of positive squares in 18 ways, for example, as 43343908864 + 79103236 = 208192^2 + 8894^2 .

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

It is not an unprimeable number, because it can be changed into a prime (43423012103) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3255044 + ... + 3268356.

Almost surely, 243423012100 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 43423012100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51285088638).

43423012100 is an abundant number, since it is smaller than the sum of its proper divisors (59147165176).

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

43423012100 is a wasteful number, since it uses less digits than its factorization.

43423012100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13546 (or 13526 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 43423012100 its reverse (121032434), we get a palindrome (43544044534).

The spelling of 43423012100 in words is "forty-three billion, four hundred twenty-three million, twelve thousand, one hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 130 169 193 260 325 338 386 650 676 772 845 965 1300 1690 1930 2509 3380 3860 4225 4825 5018 8450 9650 10036 12545 13313 16900 19300 25090 26626 32617 50180 53252 62725 65234 66565 125450 130468 133130 163085 173069 250900 266260 326170 332825 346138 652340 665650 692276 815425 865345 1331300 1630850 1730690 2249897 2569409 3261700 3461380 4326725 4499794 5138818 8653450 8999588 10277636 11249485 12847045 17306900 22498970 25694090 33402317 44997940 51388180 56247425 64235225 66804634 112494850 128470450 133609268 167011585 224989700 256940900 334023170 434230121 668046340 835057925 868460242 1670115850 1736920484 2171150605 3340231700 4342301210 8684602420 10855753025 21711506050 43423012100