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21204030420 = 22335233316831
BaseRepresentation
bin10011101111110110…
…111101001111010100
32000201202010100111000
4103233312331033110
5321411212433140
613424015543300
71350312166446
oct235766751724
960652110430
1021204030420
118aa1138991
12413922ab30
131ccbc80781
141052184496
15841800a30
hex4efdbd3d4

21204030420 has 96 divisors (see below), whose sum is σ = 66000291840. Its totient is φ = 5651648640.

The previous prime is 21204030409. The next prime is 21204030433. The reversal of 21204030420 is 2403040212.

21204030420 is a `hidden beast` number, since 212 + 0 + 4 + 0 + 30 + 420 = 666.

It is a super-2 number, since 2×212040304202 (a number of 21 digits) contains 22 as substring.

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 = 21204030393 and 21204030402.

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 31 ways as a sum of consecutive naturals, for example, 1251405 + ... + 1268235.

It is an arithmetic number, because the mean of its divisors is an integer number (687503040).

Almost surely, 221204030420 is an apocalyptic number.

21204030420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21204030420 is an abundant number, since it is smaller than the sum of its proper divisors (44796261420).

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

21204030420 is a wasteful number, since it uses less digits than its factorization.

21204030420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19182 (or 19174 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 21204030420 its reverse (2403040212), we get a palindrome (23607070632).

The spelling of 21204030420 in words is "twenty-one billion, two hundred four million, thirty thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 2333 4666 6999 9332 11665 13998 16831 20997 23330 27996 33662 34995 41994 46660 50493 62991 67324 69990 83988 84155 100986 104985 125982 139980 151479 168310 201972 209970 251964 252465 302958 314955 336620 419940 454437 504930 605916 629910 757395 908874 1009860 1259820 1514790 1817748 2272185 3029580 4544370 9088740 39266723 78533446 117800169 157066892 196333615 235600338 353400507 392667230 471200676 589000845 706801014 785334460 1060201521 1178001690 1413602028 1767002535 2120403042 2356003380 3534005070 4240806084 5301007605 7068010140 10602015210 21204030420