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21212303220 = 2233539282043
BaseRepresentation
bin10011110000010110…
…100000111101110100
32000202022200122122000
4103300112200331310
5321420322200340
613424513135300
71350442413423
oct236026407564
960668618560
1021212303220
118aa5879409
12413bb5a530
1320008b9114
1410532d92ba
158423d6d30
hex4f05a0f74

21212303220 has 48 divisors (see below), whose sum is σ = 65993833920. Its totient is φ = 5656614048.

The previous prime is 21212303201. The next prime is 21212303221. The reversal of 21212303220 is 2230321212.

21212303220 is a `hidden beast` number, since 212 + 1 + 230 + 3 + 220 = 666.

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 = 21212303193 and 21212303202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21212303221) 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 15 ways as a sum of consecutive naturals, for example, 19640482 + ... + 19641561.

It is an arithmetic number, because the mean of its divisors is an integer number (1374871540).

Almost surely, 221212303220 is an apocalyptic number.

21212303220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21212303220 is an abundant number, since it is smaller than the sum of its proper divisors (44781530700).

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

21212303220 is a wasteful number, since it uses less digits than its factorization.

21212303220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39282061 (or 39282053 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 21212303220 its reverse (2230321212), we get a palindrome (23442624432).

The spelling of 21212303220 in words is "twenty-one billion, two hundred twelve million, three hundred three thousand, two 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 39282043 78564086 117846129 157128172 196410215 235692258 353538387 392820430 471384516 589230645 707076774 785640860 1060615161 1178461290 1414153548 1767691935 2121230322 2356922580 3535383870 4242460644 5303075805 7070767740 10606151610 21212303220