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10352451116 = 22731101263449
BaseRepresentation
bin10011010010000110…
…11101111000101100
3222201110222000011102
421221003131320230
5132200211413431
64431132542232
7514354245140
oct115103357054
928643860142
1010352451116
114432763827
12200b021978
13c8ca21227
14702cab220
15408cccdcb
hex2690dde2c

10352451116 has 96 divisors (see below), whose sum is σ = 21714739200. Its totient is φ = 4225536000.

The previous prime is 10352451097. The next prime is 10352451119. The reversal of 10352451116 is 61115425301.

10352451116 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (10352451119) 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 31 ways as a sum of consecutive naturals, for example, 23056460 + ... + 23056908.

It is an arithmetic number, because the mean of its divisors is an integer number (226195200).

Almost surely, 210352451116 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10352451116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10857369600).

10352451116 is an abundant number, since it is smaller than the sum of its proper divisors (11362288084).

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

10352451116 is a wasteful number, since it uses less digits than its factorization.

10352451116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 855 (or 853 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 29.

Adding to 10352451116 its reverse (61115425301), we get a palindrome (71467876417).

The spelling of 10352451116 in words is "ten billion, three hundred fifty-two million, four hundred fifty-one thousand, one hundred sixteen".

Divisors: 1 2 4 7 14 28 31 62 101 124 202 217 263 404 434 449 526 707 868 898 1052 1414 1796 1841 2828 3131 3143 3682 6262 6286 7364 8153 12524 12572 13919 16306 21917 26563 27838 32612 43834 45349 53126 55676 57071 87668 90698 97433 106252 114142 118087 181396 185941 194866 228284 236174 317443 371882 389732 472348 634886 743764 823453 826609 1269772 1405819 1646906 1653218 2811638 3293812 3306436 3660697 5623276 5764171 7321394 9840733 11528342 11926787 14642788 19681466 23056684 23853574 25624879 39362932 47707148 51249758 83487509 102499516 166975018 333950036 369730397 739460794 1478921588 2588112779 5176225558 10352451116