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5110111104 = 273719100057
BaseRepresentation
bin1001100001001011…
…00001101110000000
3111012010120112121020
410300211201232000
540431142023404
62203023225440
7240430141050
oct46045415600
914163515536
105110111104
11219258511a
12ba7448280
136359026a7
14366965560
151ed956ed9
hex130961b80

5110111104 has 128 divisors (see below), whose sum is σ = 16329465600. Its totient is φ = 1383174144.

The previous prime is 5110111103. The next prime is 5110111117. The reversal of 5110111104 is 4011110115.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×51101111042 = 52226470990448197632, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5110111103) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1044 + ... + 101100.

It is an arithmetic number, because the mean of its divisors is an integer number (127573950).

Almost surely, 25110111104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5110111104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8164732800).

5110111104 is an abundant number, since it is smaller than the sum of its proper divisors (11219354496).

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

5110111104 is a wasteful number, since it uses less digits than its factorization.

5110111104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100100 (or 100088 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 15.

The square root of 5110111104 is about 71485.0411205030. The cubic root of 5110111104 is about 1722.4374024604.

Adding to 5110111104 its reverse (4011110115), we get a palindrome (9121221219).

The spelling of 5110111104 in words is "five billion, one hundred ten million, one hundred eleven thousand, one hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 16 19 21 24 28 32 38 42 48 56 57 64 76 84 96 112 114 128 133 152 168 192 224 228 266 304 336 384 399 448 456 532 608 672 798 896 912 1064 1216 1344 1596 1824 2128 2432 2688 3192 3648 4256 6384 7296 8512 12768 17024 25536 51072 100057 200114 300171 400228 600342 700399 800456 1200684 1400798 1600912 1901083 2101197 2401368 2801596 3201824 3802166 4202394 4802736 5603192 5703249 6403648 7604332 8404788 9605472 11206384 11406498 12807296 13307581 15208664 16809576 19210944 22412768 22812996 26615162 30417328 33619152 38421888 39922743 44825536 45625992 53230324 60834656 67238304 79845486 89651072 91251984 106460648 121669312 134476608 159690972 182503968 212921296 243338624 268953216 319381944 365007936 425842592 638763888 730015872 851685184 1277527776 1703370368 2555055552 5110111104