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21020420190 = 23571122740087
BaseRepresentation
bin10011100100111010…
…100010100001011110
32000020221121222121010
4103210322202201132
5321022211421230
613353500320050
71342622423610
oct234472424136
960227558533
1021020420190
118a0752a8a0
1240a7843026
131c9cc14573
141035a2adb0
158306329b0
hex4e4ea285e

21020420190 has 128 divisors (see below), whose sum is σ = 63176122368. Its totient is φ = 4348529280.

The previous prime is 21020420189. The next prime is 21020420191. The reversal of 21020420190 is 9102402012.

It is an interprime number because it is at equal distance from previous prime (21020420189) and next prime (21020420191).

It is a super-2 number, since 2×210204201902 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21020420191) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 504327 + ... + 544413.

It is an arithmetic number, because the mean of its divisors is an integer number (493563456).

Almost surely, 221020420190 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21020420190, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31588061184).

21020420190 is an abundant number, since it is smaller than the sum of its proper divisors (42155702178).

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

21020420190 is a wasteful number, since it uses less digits than its factorization.

21020420190 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40342.

The product of its (nonzero) digits is 288, while the sum is 21.

The spelling of 21020420190 in words is "twenty-one billion, twenty million, four hundred twenty thousand, one hundred ninety".

Divisors: 1 2 3 5 6 7 10 11 14 15 21 22 30 33 35 42 55 66 70 77 105 110 154 165 210 227 231 330 385 454 462 681 770 1135 1155 1362 1589 2270 2310 2497 3178 3405 4767 4994 6810 7491 7945 9534 12485 14982 15890 17479 23835 24970 34958 37455 40087 47670 52437 74910 80174 87395 104874 120261 174790 200435 240522 262185 280609 400870 440957 524370 561218 601305 841827 881914 1202610 1322871 1403045 1683654 2204785 2645742 2806090 3086699 4209135 4409570 6173398 6614355 8418270 9099749 9260097 13228710 15433495 18199498 18520194 27299247 30866990 45498745 46300485 54598494 63698243 90997490 92600970 100097239 127396486 136496235 191094729 200194478 272992470 300291717 318491215 382189458 500486195 600583434 636982430 700680673 955473645 1000972390 1401361346 1501458585 1910947290 2102042019 3002917170 3503403365 4204084038 7006806730 10510210095 21020420190