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2120313000 = 233531354367
BaseRepresentation
bin111111001100001…
…0110100010101000
312110202202001122010
41332120112202220
513320300004000
6550221355520
7103354235361
oct17630264250
95422661563
102120313000
119989525a3
124b2108ba0
1327a3808a0
14161856b68
15c622ad50
hex7e6168a8

2120313000 has 128 divisors (see below), whose sum is σ = 7124382720. Its totient is φ = 521913600.

The previous prime is 2120312977. The next prime is 2120313007. The reversal of 2120313000 is 3130212.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (2120313007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11817 + ... + 66183.

It is an arithmetic number, because the mean of its divisors is an integer number (55659240).

Almost surely, 22120313000 is an apocalyptic number.

2120313000 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 2120313000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3562191360).

2120313000 is an abundant number, since it is smaller than the sum of its proper divisors (5004069720).

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

2120313000 is a wasteful number, since it uses less digits than its factorization.

2120313000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54404 (or 54390 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 2120313000 is about 46046.8565702372. The cubic root of 2120313000 is about 1284.6948762537.

Adding to 2120313000 its reverse (3130212), we get a palindrome (2123443212).

The spelling of 2120313000 in words is "two billion, one hundred twenty million, three hundred thirteen thousand".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 25 26 30 39 40 50 52 60 65 75 78 100 104 120 125 130 150 156 195 200 250 260 300 312 325 375 390 500 520 600 650 750 780 975 1000 1300 1500 1560 1625 1950 2600 3000 3250 3900 4875 6500 7800 9750 13000 19500 39000 54367 108734 163101 217468 271835 326202 434936 543670 652404 706771 815505 1087340 1304808 1359175 1413542 1631010 2120313 2174680 2718350 2827084 3262020 3533855 4077525 4240626 5436700 5654168 6524040 6795875 7067710 8155050 8481252 10601565 10873400 13591750 14135420 16310100 16962504 17669275 20387625 21203130 27183500 28270840 32620200 35338550 40775250 42406260 53007825 54367000 70677100 81550500 84812520 88346375 106015650 141354200 163101000 176692750 212031300 265039125 353385500 424062600 530078250 706771000 1060156500 2120313000