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21342130420 = 22513316739521
BaseRepresentation
bin10011111000000101…
…110001000011110100
32001002100222120001211
4103320011301003310
5322202041133140
613445431531204
71353610054402
oct237005610364
961070876054
1021342130420
119062092516
124177529b04
132021774050
141066652472
1584d9ce2ea
hex4f81710f4

21342130420 has 96 divisors (see below), whose sum is σ = 50567924736. Its totient is φ = 7511961600.

The previous prime is 21342130387. The next prime is 21342130421. The reversal of 21342130420 is 2403124312.

It is a junction number, because it is equal to n+sod(n) for n = 21342130391 and 21342130400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21342130421) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 520260 + ... + 559780.

It is an arithmetic number, because the mean of its divisors is an integer number (526749216).

Almost surely, 221342130420 is an apocalyptic number.

21342130420 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 21342130420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25283962368).

21342130420 is an abundant number, since it is smaller than the sum of its proper divisors (29225794316).

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

21342130420 is a wasteful number, since it uses less digits than its factorization.

21342130420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39641 (or 39639 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 21342130420 its reverse (2403124312), we get a palindrome (23745254732).

The spelling of 21342130420 in words is "twenty-one billion, three hundred forty-two million, one hundred thirty thousand, four hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 31 52 62 65 67 124 130 134 155 260 268 310 335 403 620 670 806 871 1340 1612 1742 2015 2077 3484 4030 4154 4355 8060 8308 8710 10385 17420 20770 27001 39521 41540 54002 79042 108004 135005 158084 197605 270010 395210 513773 540020 790420 1027546 1225151 2055092 2450302 2568865 2647907 4900604 5137730 5295814 6125755 10275460 10591628 12251510 13239535 15926963 24503020 26479070 31853926 34422791 52958140 63707852 68845582 79634815 82085117 137691164 159269630 164170234 172113955 318539260 328340468 344227910 410425585 688455820 820851170 1067106521 1641702340 2134213042 4268426084 5335532605 10671065210 21342130420