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105312143235 = 351317291095461
BaseRepresentation
bin110001000010100010…
…1111100011110000011
3101001211101101011211110
41202011011330132003
53211134402040420
6120214004414403
710415506306365
oct1420505743603
9331741334743
10105312143235
1140731a60a22
12184b09a7403
139c1422b370
145150776d35
152b1579cee0
hex188517c783

105312143235 has 64 divisors (see below), whose sum is σ = 198760625280. Its totient is φ = 47113543680.

The previous prime is 105312143231. The next prime is 105312143243. The reversal of 105312143235 is 532341213501.

It is not a de Polignac number, because 105312143235 - 22 = 105312143231 is a prime.

It is a super-2 number, since 2×1053121432352 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105312143231) by changing a digit.

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, 451596 + ... + 643865.

It is an arithmetic number, because the mean of its divisors is an integer number (3105634770).

Almost surely, 2105312143235 is an apocalyptic number.

105312143235 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

105312143235 is a deficient number, since it is larger than the sum of its proper divisors (93448482045).

105312143235 is a wasteful number, since it uses less digits than its factorization.

105312143235 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1095528.

The product of its (nonzero) digits is 10800, while the sum is 30.

Adding to 105312143235 its reverse (532341213501), we get a palindrome (637653356736).

The spelling of 105312143235 in words is "one hundred five billion, three hundred twelve million, one hundred forty-three thousand, two hundred thirty-five".

Divisors: 1 3 5 13 15 17 29 39 51 65 85 87 145 195 221 255 377 435 493 663 1105 1131 1479 1885 2465 3315 5655 6409 7395 19227 32045 96135 1095461 3286383 5477305 14240993 16431915 18622837 31768369 42722979 55868511 71204965 93114185 95305107 158841845 213614895 242096881 279342555 412988797 476525535 540062273 726290643 1210484405 1238966391 1620186819 2064943985 2700311365 3631453215 6194831955 7020809549 8100934095 21062428647 35104047745 105312143235