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21421123140 = 22352398315791
BaseRepresentation
bin10011111100110011…
…000110011001000100
32001021212121210201010
4103330303012121010
5322332301420030
613501333002220
71355556354024
oct237463063104
961255553633
1021421123140
1190a273595a
124199a83370
132034c40ac1
141072d35a84
158558d46b0
hex4fccc6644

21421123140 has 96 divisors (see below), whose sum is σ = 62654570496. Its totient is φ = 5458034560.

The previous prime is 21421123111. The next prime is 21421123187. The reversal of 21421123140 is 4132112412.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1348645 + ... + 1364435.

It is an arithmetic number, because the mean of its divisors is an integer number (652651776).

Almost surely, 221421123140 is an apocalyptic number.

21421123140 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 21421123140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31327285248).

21421123140 is an abundant number, since it is smaller than the sum of its proper divisors (41233447356).

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

21421123140 is a wasteful number, since it uses less digits than its factorization.

21421123140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16809 (or 16807 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 21421123140 its reverse (4132112412), we get a palindrome (25553235552).

The spelling of 21421123140 in words is "twenty-one billion, four hundred twenty-one million, one hundred twenty-three thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 30 46 60 69 92 115 138 230 276 345 460 690 983 1380 1966 2949 3932 4915 5898 9830 11796 14745 15791 19660 22609 29490 31582 45218 47373 58980 63164 67827 78955 90436 94746 113045 135654 157910 189492 226090 236865 271308 315820 339135 363193 452180 473730 678270 726386 947460 1089579 1356540 1452772 1815965 2179158 3631930 4358316 5447895 7263860 10895790 15522553 21791580 31045106 46567659 62090212 77612765 93135318 155225530 186270636 232838295 310451060 357018719 465676590 714037438 931353180 1071056157 1428074876 1785093595 2142112314 3570187190 4284224628 5355280785 7140374380 10710561570 21421123140