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21210000111120 = 2435179753593087
BaseRepresentation
bin1001101001010010101101…
…00001011011011000010000
32210002122201101010220012010
410310221112201123120100
510240001040012023440
6113035423423502520
74316241401201562
oct464512641333020
983078641126163
1021210000111120
116838124134677
122466782157a40
13bab12c5c7652
145347d8937332
1526bac2952580
hex134a5685b610

21210000111120 has 160 divisors (see below), whose sum is σ = 70336426180608. Its totient is φ = 5268414726144.

The previous prime is 21210000111077. The next prime is 21210000111187. The reversal of 21210000111120 is 2111100001212.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 21210000111096 and 21210000111105.

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, 26400784 + ... + 27192303.

Almost surely, 221210000111120 is an apocalyptic number.

21210000111120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21210000111120 is an abundant number, since it is smaller than the sum of its proper divisors (49126426069488).

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

21210000111120 is a wasteful number, since it uses less digits than its factorization.

21210000111120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53593217 (or 53593211 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 21210000111120 its reverse (2111100001212), we get a palindrome (23321100112332).

The spelling of 21210000111120 in words is "twenty-one trillion, two hundred ten billion, one hundred eleven thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 34 40 48 51 60 68 80 85 97 102 120 136 170 194 204 240 255 272 291 340 388 408 485 510 582 680 776 816 970 1020 1164 1360 1455 1552 1649 1940 2040 2328 2910 3298 3880 4080 4656 4947 5820 6596 7760 8245 9894 11640 13192 16490 19788 23280 24735 26384 32980 39576 49470 65960 79152 98940 131920 197880 395760 53593087 107186174 160779261 214372348 267965435 321558522 428744696 535930870 643117044 803896305 857489392 911082479 1071861740 1286234088 1607792610 1822164958 2143723480 2572468176 2733247437 3215585220 3644329916 4287446960 4555412395 5198529439 5466494874 6431170440 7288659832 9110824790 10397058878 10932989748 12862340880 13666237185 14577319664 15595588317 18221649580 20794117756 21865979496 25992647195 27332474370 31191176634 36443299160 41588235512 43731958992 51985294390 54664948740 62382353268 72886598320 77977941585 83176471024 88375000463 103970588780 109329897480 124764706536 155955883170 176750000926 207941177560 218659794960 249529413072 265125001389 311911766340 353500001852 415882355120 441875002315 530250002778 623823532680 707000003704 883750004630 1060500005556 1247647065360 1325625006945 1414000007408 1767500009260 2121000011112 2651250013890 3535000018520 4242000022224 5302500027780 7070000037040 10605000055560 21210000111120