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2101300013022 = 2375917910194649
BaseRepresentation
bin11110100100111111001…
…111011010011111011110
321102212211012200200211020
4132210333033122133132
5233411430300404042
64245153543505010
7304546113260010
oct36447717323736
97385735620736
102101300013022
1174017a092a11
1229b2b5158166
131231c84b4992
14739bc4361b0
15399d640b3ec
hex1e93f3da7de

2101300013022 has 128 divisors (see below), whose sum is σ = 4917542400000. Its totient is φ = 586196389632.

The previous prime is 2101300012957. The next prime is 2101300013047. The reversal of 2101300013022 is 2203100031012.

It is a junction number, because it is equal to n+sod(n) for n = 2101300012992 and 2101300013010.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 451987354 + ... + 451992002.

It is an arithmetic number, because the mean of its divisors is an integer number (38418300000).

Almost surely, 22101300013022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2101300013022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2458771200000).

2101300013022 is an abundant number, since it is smaller than the sum of its proper divisors (2816242386978).

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

2101300013022 is a wasteful number, since it uses less digits than its factorization.

2101300013022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5918.

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 2101300013022 its reverse (2203100031012), we get a palindrome (4304400044034).

The spelling of 2101300013022 in words is "two trillion, one hundred one billion, three hundred million, thirteen thousand, twenty-two".

Divisors: 1 2 3 6 7 14 21 42 59 118 177 179 354 358 413 537 826 1019 1074 1239 1253 2038 2478 2506 3057 3759 4649 6114 7133 7518 9298 10561 13947 14266 21122 21399 27894 31683 32543 42798 60121 63366 65086 73927 97629 120242 147854 180363 182401 195258 221781 274291 360726 364802 420847 443562 547203 548582 822873 832171 841694 1094406 1262541 1276807 1645746 1664342 1920037 2496513 2525082 2553614 3830421 3840074 4737331 4993026 5760111 5825197 7660842 9474662 10761659 11520222 11650394 14211993 17475591 21523318 28423986 32284977 33161317 34951182 49098089 64569954 66322634 75331613 98196178 99483951 147294267 150663226 198967902 225994839 279502529 294588534 343686623 451989678 559005058 687373246 838507587 847982249 1031059869 1677015174 1695964498 1956517703 2062119738 2543946747 3913035406 5087893494 5869553109 5935875743 11739106218 11871751486 17807627229 35615254458 50030952691 100061905382 150092858073 300185716146 350216668837 700433337674 1050650006511 2101300013022