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2200112101000 = 235311539337087
BaseRepresentation
bin100000000001000000111…
…001100111011010001000
321210022212121001212010101
4200001000321213122020
5242021312144213000
64402414553455144
7314644554204112
oct40010071473210
97708777055111
102200112101000
11779075a19140
122b64911114b4
1312c614b72ca8
14786b37d23b2
153c36b1e6e6a
hex20040e67688

2200112101000 has 128 divisors (see below), whose sum is σ = 5617479029760. Its totient is φ = 799870848000.

The previous prime is 2200112100997. The next prime is 2200112101027. The reversal of 2200112101000 is 1012110022.

It is a Harshad number since it is a multiple of its sum of digits (10).

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, 59304457 + ... + 59341543.

It is an arithmetic number, because the mean of its divisors is an integer number (43886554920).

Almost surely, 22200112101000 is an apocalyptic number.

2200112101000 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 2200112101000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2808739514880).

2200112101000 is an abundant number, since it is smaller than the sum of its proper divisors (3417366928760).

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

2200112101000 is a wasteful number, since it uses less digits than its factorization.

2200112101000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42512 (or 42498 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 2200112101000 its reverse (1012110022), we get a palindrome (2201124211022).

The spelling of 2200112101000 in words is "two trillion, two hundred billion, one hundred twelve million, one hundred one 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 1000 1100 1375 2200 2750 5393 5500 10786 11000 21572 26965 37087 43144 53930 59323 74174 107860 118646 134825 148348 185435 215720 237292 269650 296615 296696 370870 407957 474584 539300 593230 674125 741740 815914 927175 1078600 1186460 1348250 1483075 1483480 1631828 1854350 2039785 2372920 2696500 2966150 3263656 3708700 4079570 4635875 5393000 5932300 7415375 7417400 8159140 9271750 10198925 11864600 14830750 16318280 18543500 20397850 29661500 37087000 40795700 50994625 59323000 81591400 101989250 200010191 203978500 400020382 407957000 800040764 1000050955 1600081528 2000101910 2200112101 4000203820 4400224202 5000254775 8000407640 8800448404 10000509550 11000560505 17600896808 20001019100 22001121010 25001273875 40002038200 44002242020 50002547750 55002802525 88004484040 100005095500 110005605050 200010191000 220011210100 275014012625 440022420200 550028025250 1100056050500 2200112101000