Search a number
-
+
120221002100 = 22526119708361
BaseRepresentation
bin110111111110110111…
…0101110100101110100
3102111022102000200101102
41233331232232211310
53432203034031400
6131121225145232
711454121441253
oct1577556564564
9374272020342
10120221002100
1146a92692291
121b37192b218
13b44bc15c44
145b6683479a
1531d95ac9d5
hex1bfdbae974

120221002100 has 36 divisors (see below), whose sum is σ = 265156302348. Its totient is φ = 47300064000.

The previous prime is 120221002091. The next prime is 120221002129. The reversal of 120221002100 is 1200122021.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 51537172324 + 68683829776 = 227018^2 + 262076^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9848081 + ... + 9860280.

It is an arithmetic number, because the mean of its divisors is an integer number (7365452843).

Almost surely, 2120221002100 is an apocalyptic number.

120221002100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120221002100 is an abundant number, since it is smaller than the sum of its proper divisors (144935300248).

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

120221002100 is a wasteful number, since it uses less digits than its factorization.

120221002100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19708436 (or 19708429 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 120221002100 its reverse (1200122021), we get a palindrome (121421124121).

The spelling of 120221002100 in words is "one hundred twenty billion, two hundred twenty-one million, two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 61 100 122 244 305 610 1220 1525 3050 6100 19708361 39416722 78833444 98541805 197083610 394167220 492709025 985418050 1202210021 1970836100 2404420042 4808840084 6011050105 12022100210 24044200420 30055250525 60110501050 120221002100