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32130042100 = 22521325439719
BaseRepresentation
bin11101111011000110…
…011000100011110100
310001221012100020211021
4131323012120203310
51011300242321400
622432122150524
72215132565062
oct357306304364
9101835306737
1032130042100
1112698631202
126288352444
133050771140
1417ab2b5032
15c80b2771a
hex77b1988f4

32130042100 has 72 divisors (see below), whose sum is σ = 75122691840. Its totient is φ = 11857514880.

The previous prime is 32130042071. The next prime is 32130042121. The reversal of 32130042100 is 124003123.

It is a happy number.

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 23 ways as a sum of consecutive naturals, for example, 3301041 + ... + 3310759.

It is an arithmetic number, because the mean of its divisors is an integer number (1043370720).

Almost surely, 232130042100 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 32130042100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37561345920).

32130042100 is an abundant number, since it is smaller than the sum of its proper divisors (42992649740).

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

32130042100 is a wasteful number, since it uses less digits than its factorization.

32130042100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12289 (or 12282 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 32130042100 its reverse (124003123), we get a palindrome (32254045223).

The spelling of 32130042100 in words is "thirty-two billion, one hundred thirty million, forty-two thousand, one hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 130 260 325 650 1300 2543 5086 9719 10172 12715 19438 25430 33059 38876 48595 50860 63575 66118 97190 126347 127150 132236 165295 194380 242975 252694 254300 330590 485950 505388 631735 661180 826475 971900 1263470 1652950 2526940 3158675 3305900 6317350 12634700 24715417 49430834 98861668 123577085 247154170 321300421 494308340 617885425 642600842 1235770850 1285201684 1606502105 2471541700 3213004210 6426008420 8032510525 16065021050 32130042100