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114313100 = 225211176113
BaseRepresentation
bin1101101000001…
…00011110001100
321222002201002112
412310010132030
5213231004400
615202043152
72555434226
oct664043614
9258081075
10114313100
1159588140
12323494b8
131a8b55b5
1411279416
15a080835
hex6d0478c

114313100 has 72 divisors (see below), whose sum is σ = 286575408. Its totient is φ = 39116800.

The previous prime is 114313097. The next prime is 114313123. The reversal of 114313100 is 1313411.

It is a super-2 number, since 2×1143131002 = 26134969663220000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15644 + ... + 21756.

It is an arithmetic number, because the mean of its divisors is an integer number (3980214).

Almost surely, 2114313100 is an apocalyptic number.

114313100 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 114313100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143287704).

114313100 is an abundant number, since it is smaller than the sum of its proper divisors (172262308).

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

114313100 is a wasteful number, since it uses less digits than its factorization.

114313100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6155 (or 6148 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

The square root of 114313100 is about 10691.7304492771. The cubic root of 114313100 is about 485.3242597242.

Adding to 114313100 its reverse (1313411), we get a palindrome (115626511).

The spelling of 114313100 in words is "one hundred fourteen million, three hundred thirteen thousand, one hundred".

Divisors: 1 2 4 5 10 11 17 20 22 25 34 44 50 55 68 85 100 110 170 187 220 275 340 374 425 550 748 850 935 1100 1700 1870 3740 4675 6113 9350 12226 18700 24452 30565 61130 67243 103921 122260 134486 152825 207842 268972 305650 336215 415684 519605 611300 672430 1039210 1143131 1344860 1681075 2078420 2286262 2598025 3362150 4572524 5196050 5715655 6724300 10392100 11431310 22862620 28578275 57156550 114313100