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100114341414 = 23435311516361
BaseRepresentation
bin101110100111101000…
…1111001111000100110
3100120102010210111011220
41131033101321320212
53120013232411124
6113554125441210
710142632601253
oct1351721717046
9316363714156
10100114341414
1139504a3253a
12174a0110206
139596404b99
144bba30642a
15290e2c3879
hex174f479e26

100114341414 has 64 divisors (see below), whose sum is σ = 208965132288. Its totient is φ = 31947552000.

The previous prime is 100114341413. The next prime is 100114341527. The reversal of 100114341414 is 414143411001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100114341413) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15735594 + ... + 15741954.

It is an arithmetic number, because the mean of its divisors is an integer number (3265080192).

Almost surely, 2100114341414 is an apocalyptic number.

100114341414 is an abundant number, since it is smaller than the sum of its proper divisors (108850790874).

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

100114341414 is a wasteful number, since it uses less digits than its factorization.

100114341414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7613.

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 100114341414 its reverse (414143411001), we get a palindrome (514257752415).

The spelling of 100114341414 in words is "one hundred billion, one hundred fourteen million, three hundred forty-one thousand, four hundred fourteen".

Divisors: 1 2 3 6 43 53 86 106 129 159 258 318 1151 2279 2302 3453 4558 6361 6837 6906 12722 13674 19083 38166 49493 61003 98986 122006 148479 183009 273523 296958 337133 366018 547046 674266 820569 1011399 1641138 2022798 2623129 5246258 7321511 7869387 14496719 14643022 15738774 21964533 28993438 43490157 43929066 86980314 314824973 388040083 629649946 776080166 944474919 1164120249 1888949838 2328240498 16685723569 33371447138 50057170707 100114341414