Search a number
-
+
21403005601320 = 23335731272811619
BaseRepresentation
bin1001101110111010001101…
…00010111100011000101000
32210210002220021000200001000
410313131012202330120220
510301131323413220240
6113304223253155000
74336213300614000
oct467350642743050
983702807020030
1021403005601320
116901a66761062
12249806732ba60
13bc33aa7b3815
1453dca7acb000
15271b1bce4430
hex1377468bc628

21403005601320 has 1024 divisors, whose sum is σ = 84204748800000. Its totient is φ = 4833335162880.

The previous prime is 21403005601297. The next prime is 21403005601331. The reversal of 21403005601320 is 2310650030412.

21403005601320 is a `hidden beast` number, since 2 + 1 + 4 + 0 + 30 + 0 + 5 + 601 + 3 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 13219891471 + ... + 13219893089.

It is an arithmetic number, because the mean of its divisors is an integer number (82231200000).

Almost surely, 221403005601320 is an apocalyptic number.

21403005601320 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 21403005601320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42102374400000).

21403005601320 is an abundant number, since it is smaller than the sum of its proper divisors (62801743198680).

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

21403005601320 is a wasteful number, since it uses less digits than its factorization.

21403005601320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2068 (or 2044 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

Adding to 21403005601320 its reverse (2310650030412), we get a palindrome (23713655631732).

The spelling of 21403005601320 in words is "twenty-one trillion, four hundred three billion, five million, six hundred one thousand, three hundred twenty".