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106221016011 = 3115236154529
BaseRepresentation
bin110001011101101000…
…1000001001111001011
3101011011201120200220010
41202323101001033023
53220020040003021
6120444113003003
710450153511265
oct1427321011713
9334151520803
10106221016011
1141058aa3550
1218705253463
13a02a6104c6
1451d9362b35
152b6a47d976
hex18bb4413cb

106221016011 has 16 divisors (see below), whose sum is σ = 154798738560. Its totient is φ = 64253272320.

The previous prime is 106221016009. The next prime is 106221016039. The reversal of 106221016011 is 110610122601.

It is not a de Polignac number, because 106221016011 - 21 = 106221016009 is a prime.

It is a super-2 number, since 2×1062210160112 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106221016051) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3060006 + ... + 3094523.

It is an arithmetic number, because the mean of its divisors is an integer number (9674921160).

Almost surely, 2106221016011 is an apocalyptic number.

106221016011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

106221016011 is a deficient number, since it is larger than the sum of its proper divisors (48577722549).

106221016011 is a wasteful number, since it uses less digits than its factorization.

106221016011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6155066.

The product of its (nonzero) digits is 144, while the sum is 21.

Adding to 106221016011 its reverse (110610122601), we get a palindrome (216831138612).

The spelling of 106221016011 in words is "one hundred six billion, two hundred twenty-one million, sixteen thousand, eleven".

Divisors: 1 3 11 33 523 1569 5753 17259 6154529 18463587 67699819 203099457 3218818667 9656456001 35407005337 106221016011