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10311103110 = 2357114919091
BaseRepresentation
bin10011001101001011…
…01111001010000110
3222121121011022100210
421212211233022012
5132104120244420
64423054420250
7513342634050
oct114645571206
928547138323
1010311103110
114411392420
121bb9201686
13c842a4c59
146db5c68d0
154053619e0
hex26696f286

10311103110 has 128 divisors (see below), whose sum is σ = 30919200768. Its totient is φ = 2137968000.

The previous prime is 10311103039. The next prime is 10311103157. The reversal of 10311103110 is 1130111301.

10311103110 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 63 ways as a sum of consecutive naturals, for example, 1129665 + ... + 1138755.

It is an arithmetic number, because the mean of its divisors is an integer number (241556256).

Almost surely, 210311103110 is an apocalyptic number.

10311103110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10311103110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15459600384).

10311103110 is an abundant number, since it is smaller than the sum of its proper divisors (20608097658).

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

10311103110 is a wasteful number, since it uses less digits than its factorization.

10311103110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9610.

The product of its (nonzero) digits is 9, while the sum is 12.

Adding to 10311103110 its reverse (1130111301), we get a palindrome (11441214411).

The spelling of 10311103110 in words is "ten billion, three hundred eleven million, one hundred three thousand, one hundred ten".

Divisors: 1 2 3 5 6 7 10 11 14 15 21 22 30 33 35 42 55 66 70 77 105 110 154 165 210 231 330 385 462 491 770 982 1155 1473 2310 2455 2946 3437 4910 5401 6874 7365 9091 10311 10802 14730 16203 17185 18182 20622 27005 27273 32406 34370 37807 45455 51555 54010 54546 63637 75614 81015 90910 100001 103110 113421 127274 136365 162030 189035 190911 200002 226842 272730 300003 318185 378070 381822 500005 567105 600006 636370 700007 954555 1000010 1134210 1400014 1500015 1909110 2100021 3000030 3500035 4200042 4463681 7000070 8927362 10500105 13391043 21000210 22318405 26782086 31245767 44636810 49100491 62491534 66955215 93737301 98200982 133910430 147301473 156228835 187474602 245502455 294602946 312457670 343703437 468686505 491004910 687406874 736507365 937373010 1031110311 1473014730 1718517185 2062220622 3437034370 5155551555 10311103110