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2001119100 = 2235237180281
BaseRepresentation
bin111011101000110…
…1010011101111100
312011110110101100020
41313101222131330
513044241302400
6530322532140
7100406142321
oct16721523574
95143411306
102001119100
11937641442
1247a207050
1325b779856
1414daaab48
15baa342a0
hex7746a77c

2001119100 has 72 divisors (see below), whose sum is σ = 5946421488. Its totient is φ = 519206400.

The previous prime is 2001119093. The next prime is 2001119111. The reversal of 2001119100 is 19111002.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2001119100.

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 23 ways as a sum of consecutive naturals, for example, 79041 + ... + 101240.

Almost surely, 22001119100 is an apocalyptic number.

2001119100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2001119100 is an abundant number, since it is smaller than the sum of its proper divisors (3945302388).

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

2001119100 is a wasteful number, since it uses less digits than its factorization.

2001119100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180335 (or 180328 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 15.

The square root of 2001119100 is about 44733.8697185924. The cubic root of 2001119100 is about 1260.1560023523.

The spelling of 2001119100 in words is "two billion, one million, one hundred nineteen thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 37 50 60 74 75 100 111 148 150 185 222 300 370 444 555 740 925 1110 1850 2220 2775 3700 5550 11100 180281 360562 540843 721124 901405 1081686 1802810 2163372 2704215 3605620 4507025 5408430 6670397 9014050 10816860 13340794 13521075 18028100 20011191 26681588 27042150 33351985 40022382 54084300 66703970 80044764 100055955 133407940 166759925 200111910 333519850 400223820 500279775 667039700 1000559550 2001119100