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2142350300 = 2252431273923
BaseRepresentation
bin111111110110001…
…1010101111011100
312112022012200010102
41333230122233130
513341420202200
6552330000232
7104042451146
oct17754325734
95468180112
102142350300
119aa334542
124b9576078
13281ac83cc
14164751c96
15c81306d5
hex7fb1abdc

2142350300 has 72 divisors (see below), whose sum is σ = 4795693056. Its totient is φ = 830208960.

The previous prime is 2142350299. The next prime is 2142350303. The reversal of 2142350300 is 30532412.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2142350303) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 544139 + ... + 548061.

It is an arithmetic number, because the mean of its divisors is an integer number (66606848).

Almost surely, 22142350300 is an apocalyptic number.

2142350300 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 2142350300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2397846528).

2142350300 is an abundant number, since it is smaller than the sum of its proper divisors (2653342756).

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

2142350300 is a wasteful number, since it uses less digits than its factorization.

2142350300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4107 (or 4100 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

The square root of 2142350300 is about 46285.5301363180. The cubic root of 2142350300 is about 1289.1303354593.

Adding to 2142350300 its reverse (30532412), we get a palindrome (2172882712).

The spelling of 2142350300 in words is "two billion, one hundred forty-two million, three hundred fifty thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 43 50 86 100 127 172 215 254 430 508 635 860 1075 1270 2150 2540 3175 3923 4300 5461 6350 7846 10922 12700 15692 19615 21844 27305 39230 54610 78460 98075 109220 136525 168689 196150 273050 337378 392300 498221 546100 674756 843445 996442 1686890 1992884 2491105 3373780 4217225 4982210 8434450 9964420 12455525 16868900 21423503 24911050 42847006 49822100 85694012 107117515 214235030 428470060 535587575 1071175150 2142350300