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21210000120 = 2333561321949
BaseRepresentation
bin10011110000001101…
…101110101011111000
32000202011100122101000
4103300031232223320
5321414230000440
613424351525000
71350414012021
oct236015565370
960664318330
1021210000120
118aa4546021
12413b229760
132000290a3a
141052c99c48
158420ce730
hex4f036eaf8

21210000120 has 128 divisors (see below), whose sum is σ = 71859240000. Its totient is φ = 5563261440.

The previous prime is 21210000109. The next prime is 21210000167. The reversal of 21210000120 is 2100001212.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 95095 + ... + 226854.

Almost surely, 221210000120 is an apocalyptic number.

21210000120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21210000120 is an abundant number, since it is smaller than the sum of its proper divisors (50649239880).

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

21210000120 is a wasteful number, since it uses less digits than its factorization.

21210000120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 322030 (or 322020 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 21210000120 its reverse (2100001212), we get a palindrome (23310001332).

The spelling of 21210000120 in words is "twenty-one billion, two hundred ten million, one hundred twenty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 61 72 90 108 120 122 135 180 183 216 244 270 305 360 366 488 540 549 610 732 915 1080 1098 1220 1464 1647 1830 2196 2440 2745 3294 3660 4392 5490 6588 7320 8235 10980 13176 16470 21960 32940 65880 321949 643898 965847 1287796 1609745 1931694 2575592 2897541 3219490 3863388 4829235 5795082 6438980 7726776 8692623 9658470 11590164 12877960 14487705 17385246 19316940 19638889 23180328 28975410 34770492 38633880 39277778 43463115 57950820 58916667 69540984 78555556 86926230 98194445 115901640 117833334 157111112 173852460 176750001 196388890 235666668 294583335 347704920 353500002 392777780 471333336 530250003 589166670 707000004 785555560 883750005 1060500006 1178333340 1414000008 1767500010 2121000012 2356666680 2651250015 3535000020 4242000024 5302500030 7070000040 10605000060 21210000120