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10114220142 = 23313178310211
BaseRepresentation
bin10010110101101101…
…01100000001101110
3222002212200121201000
421122312230001232
5131203220021032
64351342501130
7505432311165
oct113266540156
928085617630
1010114220142
114320239324
121b632947a6
13c5256c660
146bd3b63dc
153e2e20e7c
hex25adac06e

10114220142 has 128 divisors (see below), whose sum is σ = 25940113920. Its totient is φ = 2893432320.

The previous prime is 10114220113. The next prime is 10114220191. The reversal of 10114220142 is 24102241101.

10114220142 is a `hidden beast` number, since 101 + 1 + 422 + 0 + 142 = 666.

10114220142 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 congruent 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 63 ways as a sum of consecutive naturals, for example, 985417 + ... + 995627.

It is an arithmetic number, because the mean of its divisors is an integer number (202657140).

Almost surely, 210114220142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10114220142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12970056960).

10114220142 is an abundant number, since it is smaller than the sum of its proper divisors (15825893778).

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

10114220142 is a wasteful number, since it uses less digits than its factorization.

10114220142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10335 (or 10329 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 10114220142 its reverse (24102241101), we get a palindrome (34216461243).

The spelling of 10114220142 in words is "ten billion, one hundred fourteen million, two hundred twenty thousand, one hundred forty-two".

Divisors: 1 2 3 6 9 13 17 18 26 27 34 39 51 54 78 83 102 117 153 166 221 234 249 306 351 442 459 498 663 702 747 918 1079 1326 1411 1494 1989 2158 2241 2822 3237 3978 4233 4482 5967 6474 8466 9711 10211 11934 12699 18343 19422 20422 25398 29133 30633 36686 38097 55029 58266 61266 76194 91899 110058 132743 165087 173587 183798 265486 275697 330174 347174 398229 495261 520761 551394 796458 847513 990522 1041522 1194687 1562283 1695026 2256631 2389374 2542539 3124566 3584061 4513262 4686849 5085078 6769893 7168122 7627617 9373698 11017669 13539786 14407721 15255234 20309679 22035338 22882851 28815442 33053007 40619358 43223163 45765702 60929037 66106014 86446326 99159021 121858074 129669489 187300373 198318042 259338978 297477063 374600746 389008467 561901119 594954126 778016934 1123802238 1685703357 3371406714 5057110071 10114220142