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100000068354 = 232172693733257
BaseRepresentation
bin101110100100001110…
…1111111001100000010
3100120010011202211000100
41131020131333030002
53114300004141404
6113534524303230
710140044361534
oct1351035771402
9316104684010
10100000068354
113945648249a
12174699a1b16
1395788348a4
144ba907b854
15290424ed39
hex174877f302

100000068354 has 96 divisors (see below), whose sum is σ = 230952973680. Its totient is φ = 31162576896.

The previous prime is 100000068353. The next prime is 100000068359. The reversal of 100000068354 is 453860000001.

It can be written as a sum of positive squares in 8 ways, for example, as 60449598225 + 39550470129 = 245865^2 + 198873^2 .

It is not an unprimeable number, because it can be changed into a prime (100000068353) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 30701494 + ... + 30704750.

Almost surely, 2100000068354 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100000068354, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115476486840).

100000068354 is an abundant number, since it is smaller than the sum of its proper divisors (130952905326).

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

100000068354 is a wasteful number, since it uses less digits than its factorization.

100000068354 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3924 (or 3921 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 100000068354 its reverse (453860000001), we get a palindrome (553860068355).

The spelling of 100000068354 in words is "one hundred billion, sixty-eight thousand, three hundred fifty-four".

Divisors: 1 2 3 6 9 17 18 34 51 102 153 269 306 373 538 746 807 1119 1614 2238 2421 3257 3357 4573 4842 6341 6514 6714 9146 9771 12682 13719 19023 19542 27438 29313 38046 41157 55369 57069 58626 82314 100337 110738 114138 166107 200674 301011 332214 498321 602022 876133 903033 996642 1214861 1705729 1752266 1806066 2429722 2628399 3411458 3644583 5117187 5256798 7289166 7885197 10234374 10933749 14894261 15351561 15770394 20652637 21867498 29788522 30703122 41305274 44682783 61957911 89365566 123915822 134048349 185873733 268096698 326797609 371747466 653595218 980392827 1960785654 2941178481 5555559353 5882356962 11111118706 16666678059 33333356118 50000034177 100000068354