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10301120111212 = 22717233832456693
BaseRepresentation
bin1001010111100110101010…
…0110101110001001101100
31100110202222202211211021221
42111321222212232021230
52322233143222024322
633524134054033124
72112142234144210
oct225715246561154
940422882754257
1010301120111212
113311753831467
1211a45143487a4
13599512059a18
14278810d26940
1512ce50b0b9c7
hex95e6a9ae26c

10301120111212 has 96 divisors (see below), whose sum is σ = 22822019039232. Its totient is φ = 3964039597056.

The previous prime is 10301120111209. The next prime is 10301120111267. The reversal of 10301120111212 is 21211102110301.

It is a happy number.

It is a super-2 number, since 2×103011201112122 (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2964738 + ... + 5421430.

It is an arithmetic number, because the mean of its divisors is an integer number (237729364992).

Almost surely, 210301120111212 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10301120111212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11411009519616).

10301120111212 is an abundant number, since it is smaller than the sum of its proper divisors (12520898928020).

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

10301120111212 is a wasteful number, since it uses less digits than its factorization.

10301120111212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2457127 (or 2457125 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 16.

Adding to 10301120111212 its reverse (21211102110301), we get a palindrome (31512222221513).

The spelling of 10301120111212 in words is "ten trillion, three hundred one billion, one hundred twenty million, one hundred eleven thousand, two hundred twelve".

Divisors: 1 2 4 7 14 17 23 28 34 46 68 92 119 161 238 322 383 391 476 644 766 782 1532 1564 2681 2737 5362 5474 6511 8809 10724 10948 13022 17618 26044 35236 45577 61663 91154 123326 149753 182308 246652 299506 599012 1048271 2096542 2456693 4193084 4913386 9826772 17196851 34393702 41763781 56503939 68787404 83527562 113007878 167055124 226015756 292346467 395527573 584692934 791055146 940913419 960566963 1169385868 1582110292 1881826838 1921133926 3763653676 3842267852 6586393933 6723968741 13172787866 13447937482 15995528123 21641008637 26345575732 26895874964 31991056246 43282017274 63982112492 86564034548 111968696861 151487060459 223937393722 302974120918 367897146829 447874787444 605948241836 735794293658 1471588587316 2575280027803 5150560055606 10301120111212