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11313402100 = 225271113113021
BaseRepresentation
bin10101000100101010…
…01101000011110100
31002012110011101002121
422202111031003310
5141132212331400
65110341245324
7550233221410
oct124225150364
932173141077
1011313402100
1148861364a0
122238a03844
1310b3b38690
14794771d40
1546334921a
hex2a254d0f4

11313402100 has 144 divisors (see below), whose sum is σ = 32962640256. Its totient is φ = 3254976000.

The previous prime is 11313402083. The next prime is 11313402119. The reversal of 11313402100 is 120431311.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 43590 + ... + 156610.

It is an arithmetic number, because the mean of its divisors is an integer number (228907224).

Almost surely, 211313402100 is an apocalyptic number.

11313402100 is a gapful number since it is divisible by the number (10) 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 11313402100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16481320128).

11313402100 is an abundant number, since it is smaller than the sum of its proper divisors (21649238156).

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

11313402100 is a wasteful number, since it uses less digits than its factorization.

11313402100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113066 (or 113059 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 11313402100 its reverse (120431311), we get a palindrome (11433833411).

The spelling of 11313402100 in words is "eleven billion, three hundred thirteen million, four hundred two thousand, one hundred".

Divisors: 1 2 4 5 7 10 11 13 14 20 22 25 26 28 35 44 50 52 55 65 70 77 91 100 110 130 140 143 154 175 182 220 260 275 286 308 325 350 364 385 455 550 572 650 700 715 770 910 1001 1100 1300 1430 1540 1820 1925 2002 2275 2860 3575 3850 4004 4550 5005 7150 7700 9100 10010 14300 20020 25025 50050 100100 113021 226042 452084 565105 791147 1130210 1243231 1469273 1582294 2260420 2486462 2825525 2938546 3164588 3955735 4972924 5651050 5877092 6216155 7346365 7911470 8702617 10284911 11302100 12432310 14692730 15822940 16162003 17405234 19778675 20569822 24864620 29385460 31080775 32324006 34810468 36731825 39557350 41139644 43513085 51424555 62161550 64648012 73463650 79114700 80810015 87026170 102849110 113134021 124323100 146927300 161620030 174052340 205698220 217565425 226268042 257122775 323240060 404050075 435130850 452536084 514245550 565670105 808100150 870261700 1028491100 1131340210 1616200300 2262680420 2828350525 5656701050 11313402100