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21320203320 = 23335131518533
BaseRepresentation
bin10011110110110010…
…000111110000111000
32001000211201112202000
4103312302013300320
5322130433001240
613443325541000
71353222511113
oct236662076070
961024645660
1021320203320
119050776349
124170114760
13201a067730
14106378557a
1584baec430
hex4f6c87c38

21320203320 has 128 divisors (see below), whose sum is σ = 76534113600. Its totient is φ = 5248046592.

The previous prime is 21320203271. The next prime is 21320203321. The reversal of 21320203320 is 2330202312.

It is a happy number.

21320203320 is a `hidden beast` number, since 2 + 1 + 320 + 20 + 3 + 320 = 666.

It is a super-2 number, since 2×213202033202 (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 = 21320203293 and 21320203302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21320203321) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 745227 + ... + 773306.

Almost surely, 221320203320 is an apocalyptic number.

21320203320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21320203320 is an abundant number, since it is smaller than the sum of its proper divisors (55213910280).

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

21320203320 is a wasteful number, since it uses less digits than its factorization.

21320203320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1518566 (or 1518556 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 21320203320 its reverse (2330202312), we get a palindrome (23650405632).

The spelling of 21320203320 in words is "twenty-one billion, three hundred twenty million, two hundred three thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 18 20 24 26 27 30 36 39 40 45 52 54 60 65 72 78 90 104 108 117 120 130 135 156 180 195 216 234 260 270 312 351 360 390 468 520 540 585 702 780 936 1080 1170 1404 1560 1755 2340 2808 3510 4680 7020 14040 1518533 3037066 4555599 6074132 7592665 9111198 12148264 13666797 15185330 18222396 19740929 22777995 27333594 30370660 36444792 39481858 41000391 45555990 54667188 59222787 60741320 68333985 78963716 82000782 91111980 98704645 109334376 118445574 136667970 157927432 164001564 177668361 182223960 197409290 205001955 236891148 273335940 296113935 328003128 355336722 394818580 410003910 473782296 533005083 546671880 592227870 710673444 789637160 820007820 888341805 1066010166 1184455740 1421346888 1640015640 1776683610 2132020332 2368911480 2665025415 3553367220 4264040664 5330050830 7106734440 10660101660 21320203320