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100424014421313 = 31119237201226601
BaseRepresentation
bin10110110101010111001001…
…101101001101110101000001
3111011120102221020020220022010
4112311113021231031311001
5101130321340142440223
6553330053315203133
730103252460226342
oct2665271155156501
9434512836226263
10100424014421313
1129aa8649101760
12b31aa1b2a64a9
134405c36a5c72b
141ab27964c60c9
15b923d45a7393
hex5b55c9b4dd41

100424014421313 has 48 divisors (see below), whose sum is σ = 154168710581952. Its totient is φ = 57657916800000.

The previous prime is 100424014421309. The next prime is 100424014421329. The reversal of 100424014421313 is 313124410424001.

It is a happy number.

It is not a de Polignac number, because 100424014421313 - 22 = 100424014421309 is a prime.

It is a super-3 number, since 3×1004240144213133 (a number of 43 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (100424014421713) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 443062213 + ... + 443288813.

It is an arithmetic number, because the mean of its divisors is an integer number (3211848137124).

Almost surely, 2100424014421313 is an apocalyptic number.

It is an amenable number.

100424014421313 is a deficient number, since it is larger than the sum of its proper divisors (53744696160639).

100424014421313 is a wasteful number, since it uses less digits than its factorization.

100424014421313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263854 (or 263835 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

Adding to 100424014421313 its reverse (313124410424001), we get a palindrome (413548424845314).

The spelling of 100424014421313 in words is "one hundred trillion, four hundred twenty-four billion, fourteen million, four hundred twenty-one thousand, three hundred thirteen".

Divisors: 1 3 11 19 33 57 209 361 627 1083 3971 11913 37201 111603 226601 409211 679803 706819 1227633 2120457 2492611 4305419 7477833 7775009 12916257 13429561 23325027 40288683 47359609 81802961 142078827 147725171 245408883 443175513 899832571 2699497713 8429783801 25289351403 92727621811 160165892219 278182865433 480497676657 1761824814409 3043151952161 5285474443227 9129455856483 33474671473771 100424014421313