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10211014422 = 2327314755621
BaseRepresentation
bin10011000001001111…
…11011011100010110
3222100121211021111100
421200213323130112
5131403004430142
64405121250530
7511016122230
oct114047733426
928317737440
1010211014422
11436a9402a4
121b8b793a46
13c6962cc8b
146cc1b1250
153eb690b4c
hex2609fb716

10211014422 has 96 divisors (see below), whose sum is σ = 26655842304. Its totient is φ = 2763201600.

The previous prime is 10211014399. The next prime is 10211014423. The reversal of 10211014422 is 22441011201.

10211014422 is a `hidden beast` number, since 10 + 211 + 0 + 1 + 442 + 2 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 10211014395 and 10211014404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10211014423) 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, 155772 + ... + 211392.

It is an arithmetic number, because the mean of its divisors is an integer number (277665024).

Almost surely, 210211014422 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10211014422, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13327921152).

10211014422 is an abundant number, since it is smaller than the sum of its proper divisors (16444827882).

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

10211014422 is a wasteful number, since it uses less digits than its factorization.

10211014422 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55714 (or 55711 counting only the distinct ones).

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

Adding to 10211014422 its reverse (22441011201), we get a palindrome (32652025623).

The spelling of 10211014422 in words is "ten billion, two hundred eleven million, fourteen thousand, four hundred twenty-two".

Divisors: 1 2 3 6 7 9 14 18 21 31 42 47 62 63 93 94 126 141 186 217 279 282 329 423 434 558 651 658 846 987 1302 1457 1953 1974 2914 2961 3906 4371 5922 8742 10199 13113 20398 26226 30597 55621 61194 91791 111242 166863 183582 333726 389347 500589 778694 1001178 1168041 1724251 2336082 2614187 3448502 3504123 5172753 5228374 7008246 7842561 10345506 12069757 15518259 15685122 18299309 23527683 24139514 31036518 36209271 36598618 47055366 54897927 72418542 81039797 108627813 109795854 162079594 164693781 217255626 243119391 329387562 486238782 567278579 729358173 1134557158 1458716346 1701835737 3403671474 5105507211 10211014422