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2100011111000 = 235311757252193
BaseRepresentation
bin11110100011110010011…
…010101001001001011000
321102202111101101200122022
4132203302122221021120
5233401310321023000
64244422022114012
7304502142631115
oct36436232511130
97382441350568
102100011111000
1173a678585830
1229abb557b908
1312305146426a
14738d91a390c
153995d1ae585
hex1e8f26a9258

2100011111000 has 128 divisors (see below), whose sum is σ = 5367858500160. Its totient is φ = 762628608000.

The previous prime is 2100011110997. The next prime is 2100011111089. The reversal of 2100011111000 is 1111100012.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (8).

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, 8200904 + ... + 8453096.

Almost surely, 22100011111000 is an apocalyptic number.

2100011111000 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 2100011111000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2683929250080).

2100011111000 is an abundant number, since it is smaller than the sum of its proper divisors (3267847389160).

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

2100011111000 is a wasteful number, since it uses less digits than its factorization.

2100011111000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252982 (or 252968 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 2100011111000 its reverse (1111100012), we get a palindrome (2101122211012).

The spelling of 2100011111000 in words is "two trillion, one hundred billion, eleven million, one hundred eleven thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 125 200 220 250 275 440 500 550 757 1000 1100 1375 1514 2200 2750 3028 3785 5500 6056 7570 8327 11000 15140 16654 18925 30280 33308 37850 41635 66616 75700 83270 94625 151400 166540 189250 208175 252193 333080 378500 416350 504386 757000 832700 1008772 1040875 1260965 1665400 2017544 2081750 2521930 2774123 4163500 5043860 5548246 6304825 8327000 10087720 11096492 12609650 13870615 22192984 25219300 27741230 31524125 50438600 55482460 63048250 69353075 110964920 126096500 138706150 190910101 252193000 277412300 346765375 381820202 554824600 693530750 763640404 954550505 1387061500 1527280808 1909101010 2100011111 2774123000 3818202020 4200022222 4772752525 7636404040 8400044444 9545505050 10500055555 16800088888 19091010100 21000111110 23863762625 38182020200 42000222220 47727525250 52500277775 84000444440 95455050500 105000555550 190910101000 210001111100 262501388875 420002222200 525002777750 1050005555500 2100011111000