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2100330300 = 22352191572347
BaseRepresentation
bin111110100110000…
…0111111100111100
312102101010211112010
41331030013330330
513300141032200
6544225211220
7103022340645
oct17514077474
95371124463
102100330300
11988644272
124a7490b10
132761a52c3
1415cd346cc
15c45d0150
hex7d307f3c

2100330300 has 144 divisors (see below), whose sum is σ = 6440282240. Its totient is φ = 527005440.

The previous prime is 2100330293. The next prime is 2100330311. The reversal of 2100330300 is 30330012.

It is a happy number.

It is a super-2 number, since 2×21003303002 = 8822774738196180000, which contains 22 as substring.

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

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, 893727 + ... + 896073.

Almost surely, 22100330300 is an apocalyptic number.

2100330300 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 2100330300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3220141120).

2100330300 is an abundant number, since it is smaller than the sum of its proper divisors (4339951940).

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

2100330300 is a wasteful number, since it uses less digits than its factorization.

2100330300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2540 (or 2533 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 12.

The square root of 2100330300 is about 45829.3606763175. The cubic root of 2100330300 is about 1280.6463004040.

Adding to 2100330300 its reverse (30330012), we get a palindrome (2130660312).

The spelling of 2100330300 in words is "two billion, one hundred million, three hundred thirty thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 25 30 38 50 57 60 75 76 95 100 114 150 157 190 228 285 300 314 380 471 475 570 628 785 942 950 1140 1425 1570 1884 1900 2347 2355 2850 2983 3140 3925 4694 4710 5700 5966 7041 7850 8949 9388 9420 11735 11775 11932 14082 14915 15700 17898 23470 23550 28164 29830 35205 35796 44593 44745 46940 47100 58675 59660 70410 74575 89186 89490 117350 133779 140820 149150 176025 178372 178980 222965 223725 234700 267558 298300 352050 368479 445930 447450 535116 668895 704100 736958 891860 894900 1105437 1114825 1337790 1473916 1842395 2210874 2229650 2675580 3344475 3684790 4421748 4459300 5527185 6688950 7001101 7369580 9211975 11054370 13377900 14002202 18423950 21003303 22108740 27635925 28004404 35005505 36847900 42006606 55271850 70011010 84013212 105016515 110543700 140022020 175027525 210033030 350055050 420066060 525082575 700110100 1050165150 2100330300