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2101400310000 = 2435470046677
BaseRepresentation
bin11110100101000101001…
…110000001000011110000
321102220002012102022102010
4132211011032001003300
5233412131434410000
64245211525322520
7304551441630015
oct36450516010360
97386065368363
102101400310000
11740220767582
1229b322866440
131232132006c4
14739cb8a370c
15399e011dd50
hex1e9453810f0

2101400310000 has 100 divisors (see below), whose sum is σ = 6783600484232. Its totient is φ = 560373408000.

The previous prime is 2101400309831. The next prime is 2101400310007. The reversal of 2101400310000 is 130041012.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (100).

It is a super-2 number, since 2×21014003100002 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2101400310007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 34993339 + ... + 35053338.

Almost surely, 22101400310000 is an apocalyptic number.

2101400310000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2101400310000 is an abundant number, since it is smaller than the sum of its proper divisors (4682200174232).

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

2101400310000 is an equidigital number, since it uses as much as digits as its factorization.

2101400310000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70046708 (or 70046687 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 2101400310000 its reverse (130041012), we get a palindrome (2101530351012).

The spelling of 2101400310000 in words is "two trillion, one hundred one billion, four hundred million, three hundred ten thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 150 200 240 250 300 375 400 500 600 625 750 1000 1200 1250 1500 1875 2000 2500 3000 3750 5000 6000 7500 10000 15000 30000 70046677 140093354 210140031 280186708 350233385 420280062 560373416 700466770 840560124 1050700155 1120746832 1400933540 1681120248 1751166925 2101400310 2801867080 3362240496 3502333850 4202800620 5253500775 5603734160 7004667700 8405601240 8755834625 10507001550 14009335400 16811202480 17511669250 21014003100 26267503875 28018670800 35023338500 42028006200 43779173125 52535007750 70046677000 84056012400 87558346250 105070015500 131337519375 140093354000 175116692500 210140031000 262675038750 350233385000 420280062000 525350077500 700466770000 1050700155000 2101400310000