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21041543100 = 223522314272137
BaseRepresentation
bin10011100110001011…
…000111011110111100
32000022102101010210010
4103212023013132330
5321043113334400
613355533143220
71343300110464
oct234613073674
960272333703
1021041543100
118a18447846
1240b292ab10
131ca43cbb26
141038768ba4
15832406450
hex4e62c77bc

21041543100 has 144 divisors (see below), whose sum is σ = 63601429248. Its totient is φ = 5360847360.

The previous prime is 21041543051. The next prime is 21041543111. The reversal of 21041543100 is 134514012.

It is a super-2 number, since 2×210415431002 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9845232 + ... + 9847368.

It is an arithmetic number, because the mean of its divisors is an integer number (441676592).

Almost surely, 221041543100 is an apocalyptic number.

21041543100 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 21041543100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31800714624).

21041543100 is an abundant number, since it is smaller than the sum of its proper divisors (42559886148).

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

21041543100 is a wasteful number, since it uses less digits than its factorization.

21041543100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3604 (or 3597 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The spelling of 21041543100 in words is "twenty-one billion, forty-one million, five hundred forty-three thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 25 30 46 50 60 69 75 92 100 115 138 150 230 276 300 345 460 575 690 1150 1380 1427 1725 2137 2300 2854 3450 4274 4281 5708 6411 6900 7135 8548 8562 10685 12822 14270 17124 21370 21405 25644 28540 32055 32821 35675 42740 42810 49151 53425 64110 65642 71350 85620 98302 98463 106850 107025 128220 131284 142700 147453 160275 164105 196604 196926 213700 214050 245755 294906 320550 328210 393852 428100 491510 492315 589812 641100 656420 737265 820525 983020 984630 1228775 1474530 1641050 1969260 2457550 2461575 2949060 3049499 3282100 3686325 4915100 4923150 6098998 7372650 9148497 9846300 12197996 14745300 15247495 18296994 30494990 36593988 45742485 60989980 70138477 76237475 91484970 140276954 152474950 182969940 210415431 228712425 280553908 304949900 350692385 420830862 457424850 701384770 841661724 914849700 1052077155 1402769540 1753461925 2104154310 3506923850 4208308620 5260385775 7013847700 10520771550 21041543100