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32111342130 = 23572321811597
BaseRepresentation
bin11101111001111111…
…000011001000110010
310001212220011012021210
4131321333003020302
51011231000422010
622430213300550
72214514622160
oct357177031062
9101786135253
1032111342130
111268901968a
126282034756
13304992467a
1417a8a08230
15c7e181b20
hex779fc3232

32111342130 has 192 divisors, whose sum is σ = 92639409408. Its totient is φ = 6977456640.

The previous prime is 32111342129. The next prime is 32111342161. The reversal of 32111342130 is 3124311123.

It is a super-3 number, since 3×321113421303 (a number of 32 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 32111342097 and 32111342106.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 20106492 + ... + 20108088.

It is an arithmetic number, because the mean of its divisors is an integer number (482496924).

Almost surely, 232111342130 is an apocalyptic number.

32111342130 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 32111342130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46319704704).

32111342130 is an abundant number, since it is smaller than the sum of its proper divisors (60528067278).

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

32111342130 is a wasteful number, since it uses less digits than its factorization.

32111342130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1841 (or 1818 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 32111342130 its reverse (3124311123), we get a palindrome (35235653253).

The spelling of 32111342130 in words is "thirty-two billion, one hundred eleven million, three hundred forty-two thousand, one hundred thirty".