Search a number
-
+
21020441022 = 2327476835197
BaseRepresentation
bin10011100100111010…
…100111100110111110
32000020221200001011200
4103210322213212332
5321022213103042
613353501000330
71342622541420
oct234472474676
960227601150
1021020441022
118a07544509
1240a78530a6
131c9cc20ba9
141035a34810
15830638c4c
hex4e4ea79be

21020441022 has 96 divisors (see below), whose sum is σ = 53246149632. Its totient is φ = 5868320832.

The previous prime is 21020441021. The next prime is 21020441053. The reversal of 21020441022 is 22014402012.

21020441022 is a `hidden beast` number, since 210 + 20 + 4 + 410 + 22 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 21020440986 and 21020441004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21020441021) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4042128 + ... + 4047324.

It is an arithmetic number, because the mean of its divisors is an integer number (554647392).

Almost surely, 221020441022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21020441022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26623074816).

21020441022 is an abundant number, since it is smaller than the sum of its proper divisors (32225708610).

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

21020441022 is a wasteful number, since it uses less digits than its factorization.

21020441022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5942 (or 5939 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 21020441022 its reverse (22014402012), we get a palindrome (43034843034).

The spelling of 21020441022 in words is "twenty-one billion, twenty million, four hundred forty-one thousand, twenty-two".

Divisors: 1 2 3 6 7 9 14 18 21 42 47 63 94 126 141 282 329 423 658 683 846 987 1366 1974 2049 2961 4098 4781 5197 5922 6147 9562 10394 12294 14343 15591 28686 31182 32101 36379 43029 46773 64202 72758 86058 93546 96303 109137 192606 218274 224707 244259 288909 327411 449414 488518 577818 654822 674121 732777 1348242 1465554 1709813 2022363 2198331 3419626 3549551 4044726 4396662 5129439 7099102 10258878 10648653 15388317 21297306 24846857 30776634 31945959 49693714 63891918 74540571 149081142 166828897 223621713 333657794 447243426 500486691 1000973382 1167802279 1501460073 2335604558 3002920146 3503406837 7006813674 10510220511 21020441022