Search a number
-
+
101332230128 = 24232941231589
BaseRepresentation
bin101111001011111011…
…1110001111111110000
3100200120000110122102022
41132113313301333300
53130012022331003
6114315033211012
710215051513233
oct1362767617760
9320500418368
10101332230128
1139a7a447338
121777bb60a68
13972b8207ac
144c93d7141a
152981194738
hex1797df1ff0

101332230128 has 80 divisors (see below), whose sum is σ = 217101729600. Its totient is φ = 45650626560.

The previous prime is 101332230121. The next prime is 101332230133. The reversal of 101332230128 is 821032233101.

It is a junction number, because it is equal to n+sod(n) for n = 101332230097 and 101332230106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101332230121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 321758 + ... + 553346.

It is an arithmetic number, because the mean of its divisors is an integer number (2713771620).

Almost surely, 2101332230128 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 101332230128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108550864800).

101332230128 is an abundant number, since it is smaller than the sum of its proper divisors (115769499472).

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

101332230128 is a wasteful number, since it uses less digits than its factorization.

101332230128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231690 (or 231684 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 26.

Adding to 101332230128 its reverse (821032233101), we get a palindrome (922364463229).

The spelling of 101332230128 in words is "one hundred one billion, three hundred thirty-two million, two hundred thirty thousand, one hundred twenty-eight".

Divisors: 1 2 4 8 16 23 29 41 46 58 82 92 116 164 184 232 328 368 464 656 667 943 1189 1334 1886 2378 2668 3772 4756 5336 7544 9512 10672 15088 19024 27347 54694 109388 218776 231589 437552 463178 926356 1852712 3705424 5326547 6716081 9495149 10653094 13432162 18990298 21306188 26864324 37980596 42612376 53728648 75961192 85224752 107457296 151922384 154469863 218388427 275359321 308939726 436776854 550718642 617879452 873553708 1101437284 1235758904 1747107416 2202874568 2471517808 3494214832 4405749136 6333264383 12666528766 25333057532 50666115064 101332230128