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106302171327 = 31111532793823
BaseRepresentation
bin110001100000000011…
…0100110100010111111
3101011101101021211001120
41203000012212202333
53220201323440302
6120500132242023
710452160355562
oct1430006464277
9334341254046
10106302171327
114109a893760
1218728470313
13a0413866c1
14520604a4d9
152b7265e9bc
hex18c01a68bf

106302171327 has 16 divisors (see below), whose sum is σ = 154755499008. Its totient is φ = 64369658880.

The previous prime is 106302171319. The next prime is 106302171329. The reversal of 106302171327 is 723171203601.

It is not a de Polignac number, because 106302171327 - 23 = 106302171319 is a prime.

It is a super-2 number, since 2×1063021713272 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106302171329) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 1358863 + ... + 1434960.

It is an arithmetic number, because the mean of its divisors is an integer number (9672218688).

Almost surely, 2106302171327 is an apocalyptic number.

106302171327 is a deficient number, since it is larger than the sum of its proper divisors (48453327681).

106302171327 is a wasteful number, since it uses less digits than its factorization.

106302171327 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2794990.

The product of its (nonzero) digits is 10584, while the sum is 33.

Adding to 106302171327 its reverse (723171203601), we get a palindrome (829473374928).

The spelling of 106302171327 in words is "one hundred six billion, three hundred two million, one hundred seventy-one thousand, three hundred twenty-seven".

Divisors: 1 3 11 33 1153 3459 12683 38049 2793823 8381469 30732053 92196159 3221277919 9663833757 35434057109 106302171327