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10111011222 = 23131721014441
BaseRepresentation
bin10010110101010100…
…11100100110010110
3222002122122120220010
421122222130212112
5131201404324342
64351150021050
7505363114554
oct113252344626
928078576803
1010111011222
114319447424
121b621a7786
13c519b7ba0
146bcbbcbd4
153e29da29c
hex25aa9c996

10111011222 has 96 divisors (see below), whose sum is σ = 23368260384. Its totient is φ = 2898432000.

The previous prime is 10111011221. The next prime is 10111011223. The reversal of 10111011222 is 22211011101.

10111011222 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10111011221) and next prime (10111011223).

It is a junction number, because it is equal to n+sod(n) for n = 10111011198 and 10111011207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10111011221) by changing a digit.

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, 2274522 + ... + 2278962.

It is an arithmetic number, because the mean of its divisors is an integer number (243419379).

Almost surely, 210111011222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10111011222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11684130192).

10111011222 is an abundant number, since it is smaller than the sum of its proper divisors (13257249162).

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

10111011222 is a wasteful number, since it uses less digits than its factorization.

10111011222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4594 (or 4577 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 10111011222 its reverse (22211011101), we get a palindrome (32322022323).

The spelling of 10111011222 in words is "ten billion, one hundred eleven million, eleven thousand, two hundred twenty-two".

Divisors: 1 2 3 6 13 17 26 34 39 51 78 101 102 202 221 289 303 442 578 606 663 867 1313 1326 1717 1734 2626 3434 3757 3939 4441 5151 7514 7878 8882 10302 11271 13323 22321 22542 26646 29189 44642 57733 58378 66963 75497 87567 115466 133926 150994 173199 175134 226491 346398 379457 448541 452982 758914 897082 981461 1138371 1283449 1345623 1962922 2276742 2566898 2691246 2944383 3850347 5831033 5888766 7625197 7700694 11662066 15250394 16684837 17493099 22875591 33369674 34986198 45751182 50054511 99127561 100109022 129628349 198255122 259256698 297382683 388885047 594765366 777770094 1685168537 3370337074 5055505611 10111011222