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2113103300 = 2252711377417
BaseRepresentation
bin111110111110011…
…0110010111000100
312110021011202210012
41331330312113010
513311423301200
6545403045352
7103236040010
oct17574662704
95407152705
102113103300
11994878870
124ab810858
13278a280a9
141608db540
15c57a4a35
hex7df365c4

2113103300 has 144 divisors (see below), whose sum is σ = 5872207488. Its totient is φ = 640742400.

The previous prime is 2113103287. The next prime is 2113103323. The reversal of 2113103300 is 33013112.

It is a Harshad number since it is a multiple of its sum of digits (14).

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, 281192 + ... + 288608.

Almost surely, 22113103300 is an apocalyptic number.

2113103300 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 2113103300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2936103744).

2113103300 is an abundant number, since it is smaller than the sum of its proper divisors (3759104188).

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

2113103300 is a wasteful number, since it uses less digits than its factorization.

2113103300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7486 (or 7479 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 14.

The square root of 2113103300 is about 45968.5033474008. The cubic root of 2113103300 is about 1283.2371067821.

Adding to 2113103300 its reverse (33013112), we get a palindrome (2146116412).

The spelling of 2113103300 in words is "two billion, one hundred thirteen million, one hundred three thousand, three hundred".

Divisors: 1 2 4 5 7 10 11 14 20 22 25 28 35 37 44 50 55 70 74 77 100 110 140 148 154 175 185 220 259 275 308 350 370 385 407 518 550 700 740 770 814 925 1036 1100 1295 1540 1628 1850 1925 2035 2590 2849 3700 3850 4070 5180 5698 6475 7417 7700 8140 10175 11396 12950 14245 14834 20350 25900 28490 29668 37085 40700 51919 56980 71225 74170 81587 103838 142450 148340 163174 185425 207676 259595 274429 284900 326348 370850 407935 519190 548858 571109 741700 815870 1038380 1097716 1142218 1297975 1372145 1631740 1921003 2039675 2284436 2595950 2744290 2855545 3018719 3842006 4079350 5191900 5488580 5711090 6037438 6860725 7684012 8158700 9605015 11422180 12074876 13721450 14277725 15093595 19210030 21131033 27442900 28555450 30187190 38420060 42262066 48025075 57110900 60374380 75467975 84524132 96050150 105655165 150935950 192100300 211310330 301871900 422620660 528275825 1056551650 2113103300