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106227272277 = 3271686147179
BaseRepresentation
bin110001011101110100…
…0111000101001010101
3101011012011100112212200
41202323220320221111
53220023140203102
6120444455035113
710450260626160
oct1427350705125
9334164315780
10106227272277
1141061586a15
121870736ba99
13a02b9c1039
1451da110ad7
152b6acb751c
hex18bba38a55

106227272277 has 12 divisors (see below), whose sum is σ = 175359306720. Its totient is φ = 60701298408.

The previous prime is 106227272257. The next prime is 106227272297. The reversal of 106227272277 is 772272722601.

106227272277 is a `hidden beast` number, since 10 + 622 + 7 + 2 + 7 + 2 + 2 + 7 + 7 = 666.

It is an interprime number because it is at equal distance from previous prime (106227272257) and next prime (106227272297).

It is a de Polignac number, because none of the positive numbers 2k-106227272277 is a prime.

It is a super-2 number, since 2×1062272722772 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106227272227) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 843073527 + ... + 843073652.

It is an arithmetic number, because the mean of its divisors is an integer number (14613275560).

Almost surely, 2106227272277 is an apocalyptic number.

It is an amenable number.

106227272277 is a deficient number, since it is larger than the sum of its proper divisors (69132034443).

106227272277 is a wasteful number, since it uses less digits than its factorization.

106227272277 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1686147192 (or 1686147189 counting only the distinct ones).

The product of its (nonzero) digits is 460992, while the sum is 45.

Adding to 106227272277 its reverse (772272722601), we get a palindrome (878499994878).

The spelling of 106227272277 in words is "one hundred six billion, two hundred twenty-seven million, two hundred seventy-two thousand, two hundred seventy-seven".

Divisors: 1 3 7 9 21 63 1686147179 5058441537 11803030253 15175324611 35409090759 106227272277