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21342311300 = 2252457467009
BaseRepresentation
bin10011111000000110…
…011101001110000100
32001002101022202012002
4103320012131032010
5322202112430200
613445435444432
71353611436632
oct237006351604
961071282162
1021342311300
1190621a6402
1241775b6718
13202180848b
14106669c352
1584da17bd5
hex4f819d384

21342311300 has 36 divisors (see below), whose sum is σ = 46414255860. Its totient is φ = 8518225920.

The previous prime is 21342311297. The next prime is 21342311321. The reversal of 21342311300 is 311324312.

It can be written as a sum of positive squares in 6 ways, for example, as 345142084 + 20997169216 = 18578^2 + 144904^2 .

It is a super-2 number, since 2×213423113002 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 187805 + ... + 279204.

It is an arithmetic number, because the mean of its divisors is an integer number (1289284885).

Almost surely, 221342311300 is an apocalyptic number.

21342311300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21342311300 is an abundant number, since it is smaller than the sum of its proper divisors (25071944560).

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

21342311300 is a wasteful number, since it uses less digits than its factorization.

21342311300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 467480 (or 467473 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 21342311300 its reverse (311324312), we get a palindrome (21653635612).

The spelling of 21342311300 in words is "twenty-one billion, three hundred forty-two million, three hundred eleven thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 100 457 914 1828 2285 4570 9140 11425 22850 45700 467009 934018 1868036 2335045 4670090 9340180 11675225 23350450 46700900 213423113 426846226 853692452 1067115565 2134231130 4268462260 5335577825 10671155650 21342311300