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140130122310 = 237520533121
BaseRepresentation
bin1000001010000001100…
…1111111101001000110
3111101200220112210000000
42002200121333221012
54243441302403220
6144212550502130
713060361246433
oct2024031775106
9441626483000
10140130122310
1154479889a42
12231a9364946
13102a2821349
146ad4a20b8a
1539a2376390
hex20a067fa46

140130122310 has 128 divisors (see below), whose sum is σ = 378599195520. Its totient is φ = 37337863680.

The previous prime is 140130122309. The next prime is 140130122329. The reversal of 140130122310 is 13221031041.

140130122310 is a `hidden beast` number, since 1 + 401 + 30 + 1 + 2 + 231 + 0 = 666.

It is a super-2 number, since 2×1401301223102 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 44897550 + ... + 44900670.

It is an arithmetic number, because the mean of its divisors is an integer number (2957806215).

Almost surely, 2140130122310 is an apocalyptic number.

140130122310 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 140130122310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189299597760).

140130122310 is an abundant number, since it is smaller than the sum of its proper divisors (238469073210).

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

140130122310 is an equidigital number, since it uses as much as digits as its factorization.

140130122310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5202 (or 5184 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 140130122310 its reverse (13221031041), we get a palindrome (153351153351).

The spelling of 140130122310 in words is "one hundred forty billion, one hundred thirty million, one hundred twenty-two thousand, three hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 135 162 243 270 405 486 729 810 1215 1458 2053 2187 2430 3121 3645 4106 4374 6159 6242 7290 9363 10265 10935 12318 15605 18477 18726 20530 21870 28089 30795 31210 36954 46815 55431 56178 61590 84267 92385 93630 110862 140445 166293 168534 184770 252801 277155 280890 332586 421335 498879 505602 554310 758403 831465 842670 997758 1264005 1496637 1516806 1662930 2275209 2494395 2528010 2993274 3792015 4489911 4550418 4988790 6407413 6825627 7483185 7584030 8979822 11376045 12814826 13651254 14966370 19222239 22449555 22752090 32037065 34128135 38444478 44899110 57666717 64074130 68256270 96111195 115333434 173000151 192222390 288333585 346000302 519000453 576667170 865000755 1038000906 1557001359 1730001510 2595002265 3114002718 4671004077 5190004530 7785006795 9342008154 14013012231 15570013590 23355020385 28026024462 46710040770 70065061155 140130122310