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110314142310 = 235194310334357
BaseRepresentation
bin110011010111100111…
…1000011101001100110
3101112201222112001121110
41212233033003221212
53301410410023220
6122402210525450
710653454511151
oct1465717035146
9345658461543
10110314142310
1142869503959
1219467b96886
13a530609b28
1454a6bd8c98
152d0999bbe0
hex19af3c3a66

110314142310 has 128 divisors (see below), whose sum is σ = 285511057920. Its totient is φ = 27188130816.

The previous prime is 110314142299. The next prime is 110314142327. The reversal of 110314142310 is 13241413011.

It is a super-2 number, since 2×1103141423102 (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 25316652 + ... + 25321008.

It is an arithmetic number, because the mean of its divisors is an integer number (2230555140).

Almost surely, 2110314142310 is an apocalyptic number.

110314142310 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 110314142310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142755528960).

110314142310 is an abundant number, since it is smaller than the sum of its proper divisors (175196915610).

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

110314142310 is a wasteful number, since it uses less digits than its factorization.

110314142310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5462.

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 110314142310 its reverse (13241413011), we get a palindrome (123555555321).

The spelling of 110314142310 in words is "one hundred ten billion, three hundred fourteen million, one hundred forty-two thousand, three hundred ten".

Divisors: 1 2 3 5 6 10 15 19 30 38 43 57 86 95 114 129 190 215 258 285 430 570 645 817 1033 1290 1634 2066 2451 3099 4085 4357 4902 5165 6198 8170 8714 10330 12255 13071 15495 19627 21785 24510 26142 30990 39254 43570 44419 58881 65355 82783 88838 98135 117762 130710 133257 165566 187351 196270 222095 248349 266514 294405 374702 413915 444190 496698 562053 588810 666285 827830 843961 936755 1124106 1241745 1332570 1687922 1873510 2483490 2531883 2810265 3559669 4219805 4500781 5063766 5620530 7119338 8439610 9001562 10679007 12659415 13502343 17798345 21358014 22503905 25318830 27004686 35596690 45007810 53395035 67511715 85514839 106790070 135023430 171029678 193533583 256544517 387067166 427574195 513089034 580600749 855148390 967667915 1161201498 1282722585 1935335830 2565445170 2903003745 3677138077 5806007490 7354276154 11031414231 18385690385 22062828462 36771380770 55157071155 110314142310