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2211010112010 = 235761211818011
BaseRepresentation
bin100000001011001010011…
…110001110101000001010
321211101000002121011202210
4200023022132032220022
5242211122042041020
64411420220005550
7315511614602010
oct40131236165012
97741002534683
102211010112010
11782758627107
122b86129908b6
1313066090b70b
1479028d148b0
153c7a7d3c3e0
hex202ca78ea0a

2211010112010 has 128 divisors (see below), whose sum is σ = 6193123043328. Its totient is φ = 494732448000.

The previous prime is 2211010111991. The next prime is 2211010112039. The reversal of 2211010112010 is 102110101122.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 2293905 + ... + 3111915.

It is an arithmetic number, because the mean of its divisors is an integer number (48383773776).

Almost surely, 22211010112010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2211010112010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3096561521664).

2211010112010 is an abundant number, since it is smaller than the sum of its proper divisors (3982112931318).

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

2211010112010 is a wasteful number, since it uses less digits than its factorization.

2211010112010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 818300.

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

Adding to 2211010112010 its reverse (102110101122), we get a palindrome (2313120213132).

The spelling of 2211010112010 in words is "two trillion, two hundred eleven billion, ten million, one hundred twelve thousand, ten".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 61 70 105 122 183 210 211 305 366 422 427 610 633 854 915 1055 1266 1281 1477 1830 2110 2135 2562 2954 3165 4270 4431 6330 6405 7385 8862 12810 12871 14770 22155 25742 38613 44310 64355 77226 90097 128710 180194 193065 270291 386130 450485 540582 818011 900970 1351455 1636022 2454033 2702910 4090055 4908066 5726077 8180110 11452154 12270165 17178231 24540330 28630385 34356462 49898671 57260770 85891155 99797342 149696013 171782310 172600321 249493355 299392026 345200642 349290697 498986710 517800963 698581394 748480065 863001605 1035601926 1047872091 1208202247 1496960130 1726003210 1746453485 2095744182 2416404494 2589004815 3492906970 3624606741 5178009630 5239360455 6041011235 7249213482 10478720910 10528619581 12082022470 18123033705 21057239162 31585858743 36246067410 52643097905 63171717486 73700337067 105286195810 147400674134 157929293715 221101011201 315858587430 368501685335 442202022402 737003370670 1105505056005 2211010112010