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21301304300 = 22521717970001
BaseRepresentation
bin10011110101101010…
…000001101111101100
32000222112011101011022
4103311222001233230
5322111113214200
613441412513312
71352603045663
oct236552015754
960875141138
1021301304300
119041038221
12416591b838
13201617b493
141061065dda
1584a117885
hex4f5a81bec

21301304300 has 72 divisors (see below), whose sum is σ = 49217006160. Its totient is φ = 7974400000.

The previous prime is 21301304291. The next prime is 21301304309. The reversal of 21301304300 is 340310312.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (21301304291) and next prime (21301304309).

It is a Harshad number since it is a multiple of its sum of digits (17).

It is not an unprimeable number, because it can be changed into a prime (21301304309) 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 23 ways as a sum of consecutive naturals, for example, 269300 + ... + 339300.

It is an arithmetic number, because the mean of its divisors is an integer number (683569530).

Almost surely, 221301304300 is an apocalyptic number.

21301304300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21301304300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24608503080).

21301304300 is an abundant number, since it is smaller than the sum of its proper divisors (27915701860).

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

21301304300 is a wasteful number, since it uses less digits than its factorization.

21301304300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70211 (or 70204 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

Adding to 21301304300 its reverse (340310312), we get a palindrome (21641614612).

The spelling of 21301304300 in words is "twenty-one billion, three hundred one million, three hundred four thousand, three hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 68 85 100 170 179 340 358 425 716 850 895 1700 1790 3043 3580 4475 6086 8950 12172 15215 17900 30430 60860 70001 76075 140002 152150 280004 304300 350005 700010 1190017 1400020 1750025 2380034 3500050 4760068 5950085 7000100 11900170 12530179 23800340 25060358 29750425 50120716 59500850 62650895 119001700 125301790 213013043 250603580 313254475 426026086 626508950 852052172 1065065215 1253017900 2130130430 4260260860 5325326075 10650652150 21301304300