Search a number
-
+
21342341020 = 225721113152293
BaseRepresentation
bin10011111000000110…
…100100011110011100
32001002101101020221211
4103320012210132130
5322202114403040
613445440234204
71353611622400
oct237006443634
961071336854
1021342341020
119062216770
12417760b964
132021818b70
1410666a9100
1584da218ea
hex4f81a479c

21342341020 has 144 divisors (see below), whose sum is σ = 61251428448. Its totient is φ = 6140413440.

The previous prime is 21342340993. The next prime is 21342341051. The reversal of 21342341020 is 2014324312.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 21342340982 and 21342341000.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 63994 + ... + 216286.

It is an arithmetic number, because the mean of its divisors is an integer number (425357142).

Almost surely, 221342341020 is an apocalyptic number.

21342341020 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 21342341020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30625714224).

21342341020 is an abundant number, since it is smaller than the sum of its proper divisors (39909087428).

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

21342341020 is a wasteful number, since it uses less digits than its factorization.

21342341020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152340 (or 152331 counting only the distinct ones).

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

Adding to 21342341020 its reverse (2014324312), we get a palindrome (23356665332).

The spelling of 21342341020 in words is "twenty-one billion, three hundred forty-two million, three hundred forty-one thousand, twenty".

Divisors: 1 2 4 5 7 10 11 13 14 20 22 26 28 35 44 49 52 55 65 70 77 91 98 110 130 140 143 154 182 196 220 245 260 286 308 364 385 455 490 539 572 637 715 770 910 980 1001 1078 1274 1430 1540 1820 2002 2156 2548 2695 2860 3185 4004 5005 5390 6370 7007 10010 10780 12740 14014 20020 28028 35035 70070 140140 152293 304586 609172 761465 1066051 1522930 1675223 1979809 2132102 3045860 3350446 3959618 4264204 5330255 6700892 7462357 7919236 8376115 9899045 10660510 11726561 13858663 14924714 16752230 19798090 21321020 21777899 23453122 27717326 29849428 33504460 37311785 39596180 43555798 46906244 55434652 58632805 69293315 74623570 82085927 87111596 97010641 108889495 117265610 138586630 149247140 152445293 164171854 194021282 217778990 234531220 277173260 304890586 328343708 388042564 410429635 435557980 485053205 609781172 762226465 820859270 970106410 1067117051 1524452930 1641718540 1940212820 2134234102 3048905860 4268468204 5335585255 10671170510 21342341020