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2120355000 = 23325447119
BaseRepresentation
bin111111001100010…
…0000110010111000
312110202211012020200
41332120200302320
513320302330000
6550222322200
7103354502001
oct17630406270
95422735220
102120355000
11998981105
124b2129360
1327a396a3a
141618681a8
15c6238500
hex7e620cb8

2120355000 has 120 divisors (see below), whose sum is σ = 7176140400. Its totient is φ = 565416000.

The previous prime is 2120354993. The next prime is 2120355001. The reversal of 2120355000 is 5530212.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2120355001) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 21441 + ... + 68559.

It is an arithmetic number, because the mean of its divisors is an integer number (59801170).

Almost surely, 22120355000 is an apocalyptic number.

2120355000 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 2120355000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3588070200).

2120355000 is an abundant number, since it is smaller than the sum of its proper divisors (5055785400).

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

2120355000 is a wasteful number, since it uses less digits than its factorization.

2120355000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47151 (or 47129 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The square root of 2120355000 is about 46047.3126251685. The cubic root of 2120355000 is about 1284.7033587794.

Adding to 2120355000 its reverse (5530212), we get a palindrome (2125885212).

The spelling of 2120355000 in words is "two billion, one hundred twenty million, three hundred fifty-five 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 90 100 120 125 150 180 200 225 250 300 360 375 450 500 600 625 750 900 1000 1125 1250 1500 1800 1875 2250 2500 3000 3750 4500 5000 5625 7500 9000 11250 15000 22500 45000 47119 94238 141357 188476 235595 282714 376952 424071 471190 565428 706785 848142 942380 1130856 1177975 1413570 1696284 1884760 2120355 2355950 2827140 3392568 3533925 4240710 4711900 5654280 5889875 7067850 8481420 9423800 10601775 11779750 14135700 16962840 17669625 21203550 23559500 28271400 29449375 35339250 42407100 47119000 53008875 58898750 70678500 84814200 88348125 106017750 117797500 141357000 176696250 212035500 235595000 265044375 353392500 424071000 530088750 706785000 1060177500 2120355000