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2142351000 = 233253238039
BaseRepresentation
bin111111110110001…
…1010111010011000
312112022012201002100
41333230122322120
513341420213000
6552330003400
7104042453166
oct17754327230
95468181070
102142351000
119aa335019
124b9576560
13281ac881a
14164752236
15c8130a00
hex7fb1ae98

2142351000 has 96 divisors (see below), whose sum is σ = 7241176800. Its totient is φ = 571291200.

The previous prime is 2142350957. The next prime is 2142351011. The reversal of 2142351000 is 1532412.

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 110020 + ... + 128019.

It is an arithmetic number, because the mean of its divisors is an integer number (75428925).

Almost surely, 22142351000 is an apocalyptic number.

2142351000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2142351000 is an abundant number, since it is smaller than the sum of its proper divisors (5098825800).

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

2142351000 is a wasteful number, since it uses less digits than its factorization.

2142351000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238066 (or 238049 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 2142351000 is about 46285.5376980758. The cubic root of 2142351000 is about 1289.1304758644.

Adding to 2142351000 its reverse (1532412), we get a palindrome (2143883412).

The spelling of 2142351000 in words is "two billion, one hundred forty-two million, three hundred fifty-one thousand".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 90 100 120 125 150 180 200 225 250 300 360 375 450 500 600 750 900 1000 1125 1500 1800 2250 3000 4500 9000 238039 476078 714117 952156 1190195 1428234 1904312 2142351 2380390 2856468 3570585 4284702 4760780 5712936 5950975 7141170 8569404 9521560 10711755 11901950 14282340 17138808 17852925 21423510 23803900 28564680 29754875 35705850 42847020 47607800 53558775 59509750 71411700 85694040 89264625 107117550 119019500 142823400 178529250 214235100 238039000 267793875 357058500 428470200 535587750 714117000 1071175500 2142351000