Search a number
-
+
10200121988 = 2278318012437
BaseRepresentation
bin10010111111111100…
…11000001010000100
3222022212022212212212
421133332120022010
5131342212400423
64404052002552
7510524414660
oct113776301204
928285285785
1010200121988
114364780691
121b88000458
13c672b8154
146ca9778a0
153ea73d578
hex25ff98284

10200121988 has 48 divisors (see below), whose sum is σ = 20665970304. Its totient is φ = 4314643200.

The previous prime is 10200121973. The next prime is 10200121991. The reversal of 10200121988 is 88912100201.

10200121988 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4184306 + ... + 4186742.

It is an arithmetic number, because the mean of its divisors is an integer number (430541048).

Almost surely, 210200121988 is an apocalyptic number.

It is an amenable number.

10200121988 is an abundant number, since it is smaller than the sum of its proper divisors (10465848316).

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

10200121988 is a wasteful number, since it uses less digits than its factorization.

10200121988 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4332 (or 4330 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 32.

The spelling of 10200121988 in words is "ten billion, two hundred million, one hundred twenty-one thousand, nine hundred eighty-eight".

Divisors: 1 2 4 7 14 28 83 166 332 581 1162 1801 2324 2437 3602 4874 7204 9748 12607 17059 25214 34118 50428 68236 149483 202271 298966 404542 597932 809084 1046381 1415897 2092762 2831794 4185524 4389037 5663588 8778074 17556148 30723259 61446518 122893036 364290071 728580142 1457160284 2550030497 5100060994 10200121988