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21020244102 = 23211138991757
BaseRepresentation
bin10011100100111001…
…110111100010000110
32000020221022001001100
4103210321313202012
5321022140302402
613353452440530
71342621061334
oct234471674206
960227261040
1021020244102
118a0741a570
1240a7779146
131c9cb82380
1410359c2b54
158305ea71c
hex4e4e77886

21020244102 has 96 divisors (see below), whose sum is σ = 54107857440. Its totient is φ = 5813660160.

The previous prime is 21020244097. The next prime is 21020244109. The reversal of 21020244102 is 20144202012.

21020244102 is a `hidden beast` number, since 21 + 0 + 202 + 441 + 0 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21020244109) 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, 183208 + ... + 274964.

It is an arithmetic number, because the mean of its divisors is an integer number (563623515).

Almost surely, 221020244102 is an apocalyptic number.

21020244102 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 21020244102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27053928720).

21020244102 is an abundant number, since it is smaller than the sum of its proper divisors (33087613338).

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

21020244102 is a wasteful number, since it uses less digits than its factorization.

21020244102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91878 (or 91875 counting only the distinct ones).

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

Adding to 21020244102 its reverse (20144202012), we get a palindrome (41164446114).

The spelling of 21020244102 in words is "twenty-one billion, twenty million, two hundred forty-four thousand, one hundred two".

Divisors: 1 2 3 6 9 11 13 18 22 26 33 39 66 78 89 99 117 143 178 198 234 267 286 429 534 801 858 979 1157 1287 1602 1958 2314 2574 2937 3471 5874 6942 8811 10413 12727 17622 20826 25454 38181 76362 91757 114543 183514 229086 275271 550542 825813 1009327 1192841 1651626 2018654 2385682 3027981 3578523 6055962 7157046 8166373 9083943 10735569 13121251 16332746 18167886 21471138 24499119 26242502 39363753 48998238 73497357 78727506 89830103 106162849 118091259 146994714 179660206 212325698 236182518 269490309 318488547 538980618 636977094 808470927 955465641 1167791339 1616941854 1910931282 2335582678 3503374017 7006748034 10510122051 21020244102