Search a number
-
+
39010200100 = 2252197512
BaseRepresentation
bin100100010101001100…
…000110101000100100
310201200200120111021221
4210111030012220210
51114343102400400
625530535550124
72550465141544
oct442514065044
9121620514257
1039010200100
11155a92717a3
12768852b344
1338a8ca7051
141c60d57324
151034b6cc1a
hex915306a24

39010200100 has 27 divisors (see below), whose sum is σ = 84656420401. Its totient is φ = 15603290000.

The previous prime is 39010200071. The next prime is 39010200107. The reversal of 39010200100 is 100201093.

The square root of 39010200100 is 197510.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 14043672036 + 24966528064 = 118506^2 + 158008^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (39010200107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1965225 + ... + 1984975.

Almost surely, 239010200100 is an apocalyptic number.

39010200100 is the 197510-th square number.

It is an amenable number.

39010200100 is an abundant number, since it is smaller than the sum of its proper divisors (45646220301).

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

39010200100 is an frugal number, since it uses more digits than its factorization.

39010200100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39516 (or 19758 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 16.

Multiplying 39010200100 by its sum of digits (16), we get a square (624163201600 = 7900402).

Adding to 39010200100 its reverse (100201093), we get a palindrome (39110401193).

The spelling of 39010200100 in words is "thirty-nine billion, ten million, two hundred thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 19751 39502 79004 98755 197510 395020 493775 987550 1975100 390102001 780204002 1560408004 1950510005 3901020010 7802040020 9752550025 19505100050 39010200100