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21132232200 = 23325211740129
BaseRepresentation
bin10011101011100101…
…000100011000001000
32000112202000121211200
4103223211010120020
5321234322412300
613412533024200
71345451003262
oct235345043010
960482017750
1021132232200
118a64659912
124119185060
131cba132611
141046814b32
1583a36c200
hex4eb944608

21132232200 has 72 divisors (see below), whose sum is σ = 70969085850. Its totient is φ = 5635261440.

The previous prime is 21132232153. The next prime is 21132232201. The reversal of 21132232200 is 223223112.

21132232200 is a `hidden beast` number, since 21 + 1 + 322 + 322 + 0 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 11704210596 + 9428021604 = 108186^2 + 97098^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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

It is not an unprimeable number, because it can be changed into a prime (21132232201) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 5868265 + ... + 5871864.

Almost surely, 221132232200 is an apocalyptic number.

21132232200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21132232200 is an abundant number, since it is smaller than the sum of its proper divisors (49836853650).

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

21132232200 is a wasteful number, since it uses less digits than its factorization.

21132232200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11740151 (or 11740139 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 21132232200 its reverse (223223112), we get a palindrome (21355455312).

The spelling of 21132232200 in words is "twenty-one billion, one hundred thirty-two million, two hundred thirty-two thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 90 100 120 150 180 200 225 300 360 450 600 900 1800 11740129 23480258 35220387 46960516 58700645 70440774 93921032 105661161 117401290 140881548 176101935 211322322 234802580 281763096 293503225 352203870 422644644 469605160 528305805 587006450 704407740 845289288 880509675 1056611610 1174012900 1408815480 1761019350 2113223220 2348025800 2641529025 3522038700 4226446440 5283058050 7044077400 10566116100 21132232200