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113754411100 = 225211229324179
BaseRepresentation
bin110100111110001001…
…0101001000001011100
3101212121201222211012001
41221330102221001130
53330432112123400
6124131423452044
711134640353261
oct1517422510134
9355551884161
10113754411100
1144274443800
121a068157024
13a95b291935
145711a89268
152e5ba0aa6a
hex1a7c4a905c

113754411100 has 108 divisors (see below), whose sum is σ = 280684769400. Its totient is φ = 39938729600.

The previous prime is 113754411083. The next prime is 113754411119. The reversal of 113754411100 is 1114457311.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 188811 + ... + 512989.

It is an arithmetic number, because the mean of its divisors is an integer number (2598933050).

Almost surely, 2113754411100 is an apocalyptic number.

113754411100 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 113754411100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140342384700).

113754411100 is an abundant number, since it is smaller than the sum of its proper divisors (166930358300).

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

113754411100 is a wasteful number, since it uses less digits than its factorization.

113754411100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 324244 (or 324226 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 28.

Adding to 113754411100 its reverse (1114457311), we get a palindrome (114868868411).

The spelling of 113754411100 in words is "one hundred thirteen billion, seven hundred fifty-four million, four hundred eleven thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 29 44 50 55 58 100 110 116 121 145 220 242 275 290 319 484 550 580 605 638 725 1100 1210 1276 1450 1595 2420 2900 3025 3190 3509 6050 6380 7018 7975 12100 14036 15950 17545 31900 35090 70180 87725 175450 324179 350900 648358 1296716 1620895 3241790 3565969 6483580 7131938 8104475 9401191 14263876 16208950 17829845 18802382 32417900 35659690 37604764 39225659 47005955 71319380 78451318 89149225 94011910 103413101 156902636 178298450 188023820 196128295 206826202 235029775 356596900 392256590 413652404 470059550 517065505 784513180 940119100 980641475 1034131010 1137544111 1961282950 2068262020 2275088222 2585327525 3922565900 4550176444 5170655050 5687720555 10341310100 11375441110 22750882220 28438602775 56877205550 113754411100