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113451100 = 22527415967
BaseRepresentation
bin1101100001100…
…10000001011100
321220110220122121
412300302001130
5213020413400
615131352324
72545214140
oct660620134
9256426577
10113451100
1159049544
1231bb26a4
131a673139
14110d3220
159e6021a
hex6c3205c

113451100 has 144 divisors (see below), whose sum is σ = 297480960. Its totient is φ = 36748800.

The previous prime is 113451083. The next prime is 113451119. The reversal of 113451100 is 1154311.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1693267 + ... + 1693333.

It is an arithmetic number, because the mean of its divisors is an integer number (2065840).

Almost surely, 2113451100 is an apocalyptic number.

113451100 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 113451100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148740480).

113451100 is an abundant number, since it is smaller than the sum of its proper divisors (184029860).

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

113451100 is a wasteful number, since it uses less digits than its factorization.

113451100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 16.

The square root of 113451100 is about 10651.3426383719. The cubic root of 113451100 is about 484.1012867730.

The spelling of 113451100 in words is "one hundred thirteen million, four hundred fifty-one thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 41 50 59 67 70 82 100 118 134 140 164 175 205 236 268 287 295 335 350 410 413 469 574 590 670 700 820 826 938 1025 1148 1180 1340 1435 1475 1652 1675 1876 2050 2065 2345 2419 2747 2870 2950 3350 3953 4100 4130 4690 4838 5494 5740 5900 6700 7175 7906 8260 9380 9676 10325 10988 11725 12095 13735 14350 15812 16933 19229 19765 20650 23450 24190 27470 27671 28700 33866 38458 39530 41300 46900 48380 54940 55342 60475 67732 68675 76916 79060 84665 96145 98825 110684 120950 137350 138355 162073 169330 192290 197650 241900 274700 276710 324146 338660 384580 395300 423325 480725 553420 648292 691775 810365 846650 961450 1134511 1383550 1620730 1693300 1922900 2269022 2767100 3241460 4051825 4538044 5672555 8103650 11345110 16207300 22690220 28362775 56725550 113451100