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21202301300 = 2252415171293
BaseRepresentation
bin10011101111110000…
…010111000101110100
32000201121212111120112
4103233300113011310
5321410242120200
613423514522152
71350261405335
oct235760270564
960647774515
1021202301300
118aa0167864
124138736358
131ccb7c671b
141051c5428c
158415ad535
hex4efc17174

21202301300 has 36 divisors (see below), whose sum is σ = 47131173516. Its totient is φ = 8274067200.

The previous prime is 21202301297. The next prime is 21202301303. The reversal of 21202301300 is 310320212.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (21202301297) and next prime (21202301303).

It can be written as a sum of positive squares in 6 ways, for example, as 4448623204 + 16753678096 = 66698^2 + 129436^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21202301303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2581547 + ... + 2589746.

Almost surely, 221202301300 is an apocalyptic number.

21202301300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21202301300 is an abundant number, since it is smaller than the sum of its proper divisors (25928872216).

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

21202301300 is a wasteful number, since it uses less digits than its factorization.

21202301300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5171348 (or 5171341 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 21202301300 its reverse (310320212), we get a palindrome (21512621512).

The spelling of 21202301300 in words is "twenty-one billion, two hundred two million, three hundred one thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 41 50 82 100 164 205 410 820 1025 2050 4100 5171293 10342586 20685172 25856465 51712930 103425860 129282325 212023013 258564650 424046026 517129300 848092052 1060115065 2120230130 4240460260 5300575325 10601150650 21202301300