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21120310420 = 22511228873023
BaseRepresentation
bin10011101010110111…
…100101110010010100
32000111220120221020021
4103222313211302110
5321223244413140
613411425314524
71345244451016
oct235267456224
960456527207
1021120310420
118a58956900
124115195a44
131cb781a101
141044dd01b6
158392b4b4a
hex4eade5c94

21120310420 has 72 divisors (see below), whose sum is σ = 48784280832. Its totient is φ = 7674912960.

The previous prime is 21120310411. The next prime is 21120310457. The reversal of 21120310420 is 2401302112.

It is a junction number, because it is equal to n+sod(n) for n = 21120310394 and 21120310403.

It is a congruent number.

It is an unprimeable number.

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, 6985029 + ... + 6988051.

It is an arithmetic number, because the mean of its divisors is an integer number (677559456).

Almost surely, 221120310420 is an apocalyptic number.

21120310420 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 21120310420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24392140416).

21120310420 is an abundant number, since it is smaller than the sum of its proper divisors (27663970412).

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

21120310420 is a wasteful number, since it uses less digits than its factorization.

21120310420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5941 (or 5928 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 21120310420 its reverse (2401302112), we get a palindrome (23521612532).

The spelling of 21120310420 in words is "twenty-one billion, one hundred twenty million, three hundred ten thousand, four hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 121 220 242 484 605 1210 2420 2887 3023 5774 6046 11548 12092 14435 15115 28870 30230 31757 33253 57740 60460 63514 66506 127028 133012 158785 166265 317570 332530 349327 365783 635140 665060 698654 731566 1397308 1463132 1746635 1828915 3493270 3657830 6986540 7315660 8727401 17454802 34909604 43637005 87274010 96001411 174548020 192002822 384005644 480007055 960014110 1056015521 1920028220 2112031042 4224062084 5280077605 10560155210 21120310420