Search a number
-
+
21133430100 = 22325223481589
BaseRepresentation
bin10011101011101001…
…101000110101010100
32000112211021111001100
4103223221220311110
5321240124230400
613413014430100
71345464122556
oct235351506524
960484244040
1021133430100
118a652a7912
124119662330
131cba461933
141046a474d6
1583a507100
hex4eba68d54

21133430100 has 54 divisors (see below), whose sum is σ = 66241565390. Its totient is φ = 5635581120.

The previous prime is 21133430093. The next prime is 21133430137. The reversal of 21133430100 is 103433112.

21133430100 is a `hidden beast` number, since 2 + 1 + 133 + 430 + 100 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 153066384 + 20980363716 = 12372^2 + 144846^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 11739895 + ... + 11741694.

Almost surely, 221133430100 is an apocalyptic number.

21133430100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21133430100 is an abundant number, since it is smaller than the sum of its proper divisors (45108135290).

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

21133430100 is a wasteful number, since it uses less digits than its factorization.

21133430100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23481609 (or 23481599 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 21133430100 its reverse (103433112), we get a palindrome (21236863212).

The spelling of 21133430100 in words is "twenty-one billion, one hundred thirty-three million, four hundred thirty thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 225 300 450 900 23481589 46963178 70444767 93926356 117407945 140889534 211334301 234815890 281779068 352223835 422668602 469631780 587039725 704447670 845337204 1056671505 1174079450 1408895340 1761119175 2113343010 2348158900 3522238350 4226686020 5283357525 7044476700 10566715050 21133430100