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21202133200 = 2452411292813
BaseRepresentation
bin10011101111101111…
…101110000011010000
32000201121112221222121
4103233233232003100
5321410221230300
613423511144024
71350260105263
oct235757560320
960647487877
1021202133200
118aa0062536
124138675014
131ccb768061
141051c0ccda
1584157881a
hex4efbee0d0

21202133200 has 60 divisors (see below), whose sum is σ = 52180558668. Its totient is φ = 8273996800.

The previous prime is 21202133167. The next prime is 21202133201. The reversal of 21202133200 is 233120212.

It can be written as a sum of positive squares in 6 ways, for example, as 743980176 + 20458153024 = 27276^2 + 143032^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21202133201) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 630007 + ... + 662806.

Almost surely, 221202133200 is an apocalyptic number.

21202133200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21202133200 is an abundant number, since it is smaller than the sum of its proper divisors (30978425468).

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

21202133200 is a wasteful number, since it uses less digits than its factorization.

21202133200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1292872 (or 1292861 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 21202133200 its reverse (233120212), we get a palindrome (21435253412).

The spelling of 21202133200 in words is "twenty-one billion, two hundred two million, one hundred thirty-three thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 41 50 80 82 100 164 200 205 328 400 410 656 820 1025 1640 2050 3280 4100 8200 16400 1292813 2585626 5171252 6464065 10342504 12928130 20685008 25856260 32320325 51712520 53005333 64640650 103425040 106010666 129281300 212021332 258562600 265026665 424042664 517125200 530053330 848085328 1060106660 1325133325 2120213320 2650266650 4240426640 5300533300 10601066600 21202133200