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10112211012211 = 7112383101681127
BaseRepresentation
bin1001001100100110111010…
…1111101100101001110011
31022210201101101001021202121
42103021232233230221303
52311134302004342321
633301252520255111
72062404005250430
oct223115657545163
938721341037677
1010112211012211
113249623545350
121173993011497
13584767741279
1426d60dc18b87
151280961d0441
hex9326ebeca73

10112211012211 has 64 divisors (see below), whose sum is σ = 13445924438016. Its totient is φ = 7372507824000.

The previous prime is 10112211012209. The next prime is 10112211012269. The reversal of 10112211012211 is 11221011221101.

It is not a de Polignac number, because 10112211012211 - 21 = 10112211012209 is a prime.

It is a super-2 number, since 2×101122110122112 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10112211010211) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14505730 + ... + 15186856.

It is an arithmetic number, because the mean of its divisors is an integer number (210092569344).

Almost surely, 210112211012211 is an apocalyptic number.

10112211012211 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10112211012211 is a deficient number, since it is larger than the sum of its proper divisors (3333713425805).

10112211012211 is a wasteful number, since it uses less digits than its factorization.

10112211012211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 681352.

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

Adding to 10112211012211 its reverse (11221011221101), we get a palindrome (21333222233312).

The spelling of 10112211012211 in words is "ten trillion, one hundred twelve billion, two hundred eleven million, twelve thousand, two hundred eleven".

Divisors: 1 7 11 23 77 83 101 161 253 581 707 913 1111 1771 1909 2323 6391 7777 8383 13363 16261 20999 25553 58681 92213 146993 178871 192809 645491 681127 1349663 2120899 4767889 7492397 14846293 15665921 52446779 56533541 68793827 109661447 172325131 395734787 481556789 621868951 756732097 1206275917 1300271443 1582258021 4353082657 5297124679 5709887641 9101900101 11075806147 14302985873 17404838231 39969213487 62808764051 100120901111 121833867617 131327415743 439661348357 919291910201 1444601573173 10112211012211