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2120133300 = 2235237409467
BaseRepresentation
bin111111001011110…
…1010101010110100
312110202101221010120
41332113222222310
513320223231200
6550213451540
7103352556435
oct17627525264
95422357116
102120133300
1199883a58a
124b2040bb0
1327a319b5c
1416180b48c
15c61e29a0
hex7e5eaab4

2120133300 has 144 divisors (see below), whose sum is σ = 6328969920. Its totient is φ = 547568640.

The previous prime is 2120133289. The next prime is 2120133313. The reversal of 2120133300 is 33310212.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2120133300.

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 47 ways as a sum of consecutive naturals, for example, 4539667 + ... + 4540133.

It is an arithmetic number, because the mean of its divisors is an integer number (43951180).

Almost surely, 22120133300 is an apocalyptic number.

2120133300 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 2120133300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3164484960).

2120133300 is an abundant number, since it is smaller than the sum of its proper divisors (4208836620).

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

2120133300 is a wasteful number, since it uses less digits than its factorization.

2120133300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 930 (or 923 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

The square root of 2120133300 is about 46044.9052556306. The cubic root of 2120133300 is about 1284.6585818966.

Adding to 2120133300 its reverse (33310212), we get a palindrome (2153443512).

The spelling of 2120133300 in words is "two billion, one hundred twenty million, one hundred thirty-three thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 37 50 60 74 75 100 111 148 150 185 222 300 370 409 444 467 555 740 818 925 934 1110 1227 1401 1636 1850 1868 2045 2220 2335 2454 2775 2802 3700 4090 4670 4908 5550 5604 6135 7005 8180 9340 10225 11100 11675 12270 14010 15133 17279 20450 23350 24540 28020 30266 30675 34558 35025 40900 45399 46700 51837 60532 61350 69116 70050 75665 86395 90798 103674 122700 140100 151330 172790 181596 191003 207348 226995 259185 302660 345580 378325 382006 431975 453990 518370 573009 756650 764012 863950 907980 955015 1036740 1134975 1146018 1295925 1513300 1727900 1910030 2269950 2292036 2591850 2865045 3820060 4539900 4775075 5183700 5730090 7067111 9550150 11460180 14134222 14325225 19100300 21201333 28268444 28650450 35335555 42402666 57300900 70671110 84805332 106006665 141342220 176677775 212013330 353355550 424026660 530033325 706711100 1060066650 2120133300