Search a number
-
+
32412434100 = 22352113956119
BaseRepresentation
bin11110001011111011…
…100111111010110100
310002122212201020211020
4132023323213322310
51012340040342400
622520130541140
72225132100264
oct361373477264
9102585636736
1032412434100
1112822a79522
126346a377b0
1330971154b7
1417d69c37a4
15c9a8092a0
hex78bee7eb4

32412434100 has 72 divisors (see below), whose sum is σ = 94609986240. Its totient is φ = 8566817280.

The previous prime is 32412434099. The next prime is 32412434101. The reversal of 32412434100 is 143421423.

It is an interprime number because it is at equal distance from previous prime (32412434099) and next prime (32412434101).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32412434101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 444160 + ... + 511959.

Almost surely, 232412434100 is an apocalyptic number.

32412434100 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

32412434100 is an abundant number, since it is smaller than the sum of its proper divisors (62197552140).

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

32412434100 is a wasteful number, since it uses less digits than its factorization.

32412434100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 956249 (or 956242 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 32412434100 its reverse (143421423), we get a palindrome (32555855523).

The spelling of 32412434100 in words is "thirty-two billion, four hundred twelve million, four hundred thirty-four thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 113 150 226 300 339 452 565 678 1130 1356 1695 2260 2825 3390 5650 6780 8475 11300 16950 33900 956119 1912238 2868357 3824476 4780595 5736714 9561190 11473428 14341785 19122380 23902975 28683570 47805950 57367140 71708925 95611900 108041447 143417850 216082894 286835700 324124341 432165788 540207235 648248682 1080414470 1296497364 1620621705 2160828940 2701036175 3241243410 5402072350 6482486820 8103108525 10804144700 16206217050 32412434100