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2103801700 = 22527111321017
BaseRepresentation
bin111110101100101…
…0111011101100100
312102121200012101111
41331121113131210
513302033123300
6544431434404
7103064006440
oct17531273544
95377605344
102103801700
1198a5a53a0
124a8685a04
13276b1c3a0
1415d599820
15c4a689ba
hex7d657764

2103801700 has 144 divisors (see below), whose sum is σ = 6129857664. Its totient is φ = 605260800.

The previous prime is 2103801691. The next prime is 2103801709. The reversal of 2103801700 is 71083012.

It is an interprime number because it is at equal distance from previous prime (2103801691) and next prime (2103801709).

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (2103801709) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 89592 + ... + 110608.

It is an arithmetic number, because the mean of its divisors is an integer number (42568456).

Almost surely, 22103801700 is an apocalyptic number.

2103801700 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 2103801700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3064928832).

2103801700 is an abundant number, since it is smaller than the sum of its proper divisors (4026055964).

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

2103801700 is a wasteful number, since it uses less digits than its factorization.

2103801700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21062 (or 21055 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 22.

The square root of 2103801700 is about 45867.2181410645. The cubic root of 2103801700 is about 1281.3514575220.

Adding to 2103801700 its reverse (71083012), we get a palindrome (2174884712).

The spelling of 2103801700 in words is "two billion, one hundred three million, eight hundred one thousand, seven hundred".

Divisors: 1 2 4 5 7 10 11 13 14 20 22 25 26 28 35 44 50 52 55 65 70 77 91 100 110 130 140 143 154 175 182 220 260 275 286 308 325 350 364 385 455 550 572 650 700 715 770 910 1001 1100 1300 1430 1540 1820 1925 2002 2275 2860 3575 3850 4004 4550 5005 7150 7700 9100 10010 14300 20020 21017 25025 42034 50050 84068 100100 105085 147119 210170 231187 273221 294238 420340 462374 525425 546442 588476 735595 924748 1050850 1092884 1155935 1366105 1471190 1618309 1912547 2101700 2311870 2732210 2942380 3005431 3236618 3677975 3825094 4623740 5464420 5779675 6010862 6473236 6830525 7355950 7650188 8091545 9562735 11559350 12021724 13661050 14711900 15027155 16183090 19125470 21038017 23118700 27322100 30054310 32366180 38250940 40457725 42076034 47813675 60108620 75135775 80915450 84152068 95627350 105190085 150271550 161830900 191254700 210380170 300543100 420760340 525950425 1051900850 2103801700