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6131320110 = 2385113827
BaseRepresentation
bin1011011010111010…
…01000010100101110
3120211022011100000000
411231131020110232
5100024104220420
62452223245130
7304640234556
oct55535102456
916738140000
106131320110
112666a74603
1212314497a6
13769357386
14422434166
1525d427690
hex16d74852e

6131320110 has 144 divisors (see below), whose sum is σ = 16720410096. Its totient is φ = 1618589952.

The previous prime is 6131320109. The next prime is 6131320127. The reversal of 6131320110 is 110231316.

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 71 ways as a sum of consecutive naturals, for example, 7413517 + ... + 7414343.

It is an arithmetic number, because the mean of its divisors is an integer number (116113959).

Almost surely, 26131320110 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6131320110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8360205048).

6131320110 is an abundant number, since it is smaller than the sum of its proper divisors (10589089986).

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

6131320110 is an equidigital number, since it uses as much as digits as its factorization.

6131320110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 971 (or 950 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 6131320110 is about 78302.7465035550. The cubic root of 6131320110 is about 1830.2819506449.

Adding to 6131320110 its reverse (110231316), we get a palindrome (6241551426).

The spelling of 6131320110 in words is "six billion, one hundred thirty-one million, three hundred twenty thousand, one hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 113 135 162 226 243 270 339 405 486 565 678 729 810 827 1017 1130 1215 1458 1654 1695 2034 2187 2430 2481 3051 3390 3645 4135 4374 4962 5085 6102 6561 7290 7443 8270 9153 10170 10935 12405 13122 14886 15255 18306 21870 22329 24810 27459 30510 32805 37215 44658 45765 54918 65610 66987 74430 82377 91530 93451 111645 133974 137295 164754 186902 200961 223290 247131 274590 280353 334935 401922 411885 467255 494262 560706 602883 669870 741393 823770 841059 934510 1004805 1205766 1235655 1401765 1482786 1682118 1808649 2009610 2471310 2523177 2803530 3014415 3617298 3706965 4205295 5046354 5425947 6028830 7413930 7569531 8410590 9043245 10851894 12615885 15139062 18086490 22708593 25231770 27129735 37847655 45417186 54259470 68125779 75695310 113542965 136251558 204377337 227085930 340628895 408754674 613132011 681257790 1021886685 1226264022 2043773370 3065660055 6131320110