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210011121211000 = 23535923091541581
BaseRepresentation
bin101111110000000100000110…
…010001110101011001111000
31000112120212102010101100212111
4233300010012101311121320
5210011310234012223000
62022353435512422104
762143542234501604
oct5760040621653170
91015525363340774
10210011121211000
1160a09241a4383a
121b67968b6a7934
139024c6b4a0c15
1439c0841b76504
151942d10515cba
hexbf0106475678

210011121211000 has 128 divisors (see below), whose sum is σ = 499972040568000. Its totient is φ = 82544826048000.

The previous prime is 210011121210973. The next prime is 210011121211051. The reversal of 210011121211000 is 112121110012.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 135460210 + ... + 137001790.

Almost surely, 2210011121211000 is an apocalyptic number.

210011121211000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 210011121211000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249986020284000).

210011121211000 is an abundant number, since it is smaller than the sum of its proper divisors (289960919357000).

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

210011121211000 is a wasteful number, since it uses less digits than its factorization.

210011121211000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1543970 (or 1543956 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 210011121211000 its reverse (112121110012), we get a palindrome (210123242321012).

The spelling of 210011121211000 in words is "two hundred ten trillion, eleven billion, one hundred twenty-one million, two hundred eleven thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 59 100 118 125 200 236 250 295 472 500 590 1000 1180 1475 2309 2360 2950 4618 5900 7375 9236 11545 11800 14750 18472 23090 29500 46180 57725 59000 92360 115450 136231 230900 272462 288625 461800 544924 577250 681155 1089848 1154500 1362310 1541581 2309000 2724620 3083162 3405775 5449240 6166324 6811550 7707905 12332648 13623100 15415810 17028875 27246200 30831620 34057750 38539525 61663240 68115500 77079050 90953279 136231000 154158100 181906558 192697625 308316200 363813116 385395250 454766395 727626232 770790500 909532790 1541581000 1819065580 2273831975 3559510529 3638131160 4547663950 7119021058 9095327900 11369159875 14238042116 17797552645 18190655800 22738319750 28476084232 35595105290 45476639500 71190210580 88987763225 90953279000 142380421160 177975526450 210011121211 355951052900 420022242422 444938816125 711902105800 840044484844 889877632250 1050055606055 1680088969688 1779755264500 2100111212110 3559510529000 4200222424220 5250278030275 8400444848440 10500556060550 21001112121100 26251390151375 42002224242200 52502780302750 105005560605500 210011121211000