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10000112210396 = 22711196449264977
BaseRepresentation
bin1001000110000101010100…
…1000101101000111011100
31022102000001000101010112222
42101201111020231013130
52302320212211213041
633133553234044512
72051325050203310
oct221412510550734
938360030333488
1010000112210396
113206029705390
121156109419738
135770114859c9
14268017dbbb40
151251d4c0a74b
hex9185522d1dc

10000112210396 has 96 divisors (see below), whose sum is σ = 22970412864000. Its totient is φ = 3690500935680.

The previous prime is 10000112210299. The next prime is 10000112210449. The reversal of 10000112210396 is 69301221100001.

It is a super-2 number, since 2×100001122103962 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 37607060 + ... + 37872036.

It is an arithmetic number, because the mean of its divisors is an integer number (239275134000).

Almost surely, 210000112210396 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 10000112210396, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11485206432000).

10000112210396 is an abundant number, since it is smaller than the sum of its proper divisors (12970300653604).

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

10000112210396 is a wasteful number, since it uses less digits than its factorization.

10000112210396 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 271467 (or 271465 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 26.

Adding to 10000112210396 its reverse (69301221100001), we get a palindrome (79301333310397).

The spelling of 10000112210396 in words is "ten trillion, one hundred twelve million, two hundred ten thousand, three hundred ninety-six".

Divisors: 1 2 4 7 11 14 19 22 28 38 44 76 77 133 154 209 266 308 418 532 836 1463 2926 5852 6449 12898 25796 45143 70939 90286 122531 141878 180572 245062 264977 283756 490124 496573 529954 857717 993146 1059908 1347841 1715434 1854839 1986292 2695682 2914747 3430868 3709678 5034563 5391364 5829494 7419356 9434887 10069126 11658988 18869774 20138252 20403229 35241941 37739548 40806458 55380193 70483882 81612916 110760386 140967764 221520772 387661351 775322702 1550645404 1708836673 3417673346 6835346692 11961856711 18797203403 23923713422 32467896787 37594406806 47847426844 64935793574 75188813612 129871587148 131580423821 227275277509 263160847642 357146864657 454550555018 526321695284 714293729314 909101110036 1428587458628 2500028052599 5000056105198 10000112210396