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21321102023100 = 22335211717882223
BaseRepresentation
bin1001101100100001101001…
…01101100101100110111100
32210111021111020222210122000
410312100310231211212330
510243311104104214400
6113202440135222300
74330253532650445
oct466206455454674
983437436883560
1021321102023100
116880257285540
122484209b17990
13bb8757194579
14539d381d62cc
1526e92665c600
hex136434b659bc

21321102023100 has 144 divisors (see below), whose sum is σ = 74774612451840. Its totient is φ = 5168751998400.

The previous prime is 21321102023063. The next prime is 21321102023141. The reversal of 21321102023100 is 132020112312.

21321102023100 is a `hidden beast` number, since 2 + 1 + 321 + 10 + 20 + 2 + 310 + 0 = 666.

It is a super-2 number, since 2×213211020231002 (a number of 27 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 358911412 + ... + 358970811.

Almost surely, 221321102023100 is an apocalyptic number.

21321102023100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21321102023100 is an abundant number, since it is smaller than the sum of its proper divisors (53453510428740).

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

21321102023100 is a wasteful number, since it uses less digits than its factorization.

21321102023100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 717882257 (or 717882244 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 21321102023100 its reverse (132020112312), we get a palindrome (21453122135412).

The spelling of 21321102023100 in words is "twenty-one trillion, three hundred twenty-one billion, one hundred two million, twenty-three thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 25 27 30 33 36 44 45 50 54 55 60 66 75 90 99 100 108 110 132 135 150 165 180 198 220 225 270 275 297 300 330 396 450 495 540 550 594 660 675 825 900 990 1100 1188 1350 1485 1650 1980 2475 2700 2970 3300 4950 5940 7425 9900 14850 29700 717882223 1435764446 2153646669 2871528892 3589411115 4307293338 6460940007 7178822230 7896704453 8614586676 10768233345 12921880014 14357644460 15793408906 17947055575 19382820021 21536466690 23690113359 25843760028 31586817812 32304700035 35894111150 38765640042 39483522265 43072933380 47380226718 53841166725 64609400070 71070340077 71788222300 77531280084 78967044530 94760453436 96914100105 107682333450 118450566795 129218800140 142140680154 157934089060 161523500175 193828200210 197417611325 213211020231 215364666900 236901133590 284281360308 323047000350 355351700385 387656400420 394835222650 426422040462 473802267180 484570500525 592252833975 646094000700 710703400770 789670445300 852844080924 969141001050 1066055101155 1184505667950 1421406801540 1776758501925 1938282002100 2132110202310 2369011335900 3553517003850 4264220404620 5330275505775 7107034007700 10660551011550 21321102023100