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10101324114 = 2327972113917
BaseRepresentation
bin10010110100001010…
…11111100101010010
3222001222102102200100
421122011133211102
5131141414332424
64350202233230
7505214560350
oct113205374522
928058372610
1010101324114
114313a30352
121b5aab5816
13c4c9a587b
146bb7ba7d0
153e1c24dc9
hex25a15f952

10101324114 has 96 divisors (see below), whose sum is σ = 25396914816. Its totient is φ = 2842076160.

The previous prime is 10101324089. The next prime is 10101324133. The reversal of 10101324114 is 41142310101.

10101324114 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon 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 47 ways as a sum of consecutive naturals, for example, 2576884 + ... + 2580800.

It is an arithmetic number, because the mean of its divisors is an integer number (264551196).

Almost surely, 210101324114 is an apocalyptic number.

10101324114 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10101324114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12698457408).

10101324114 is an abundant number, since it is smaller than the sum of its proper divisors (15295590702).

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

10101324114 is a wasteful number, since it uses less digits than its factorization.

10101324114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4240 (or 4237 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 10101324114 its reverse (41142310101), we get a palindrome (51243634215).

The spelling of 10101324114 in words is "ten billion, one hundred one million, three hundred twenty-four thousand, one hundred fourteen".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 97 126 194 211 291 422 582 633 679 873 1266 1358 1477 1746 1899 2037 2954 3798 3917 4074 4431 6111 7834 8862 11751 12222 13293 20467 23502 26586 27419 35253 40934 54838 61401 70506 82257 122802 143269 164514 184203 246771 286538 368406 379949 429807 493542 759898 826487 859614 1139847 1289421 1652974 2279694 2479461 2578842 2659643 3419541 4958922 5319286 5785409 6839082 7438383 7978929 11570818 14876766 15957858 17356227 23936787 34712454 47873574 52068681 80169239 104137362 160338478 240507717 481015434 561184673 721523151 1122369346 1443046302 1683554019 3367108038 5050662057 10101324114