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106016601771 = 32173123155313
BaseRepresentation
bin110001010111100010…
…1001111011010101011
3101010122110221101021100
41202233011033122223
53214110222224041
6120411531412443
710442122150353
oct1425705173253
9333573841240
10106016601771
1140a63676063
12186688b4123
139cc716bc32
1451ba151b63
152b575516b6
hex18af14f6ab

106016601771 has 24 divisors (see below), whose sum is σ = 154148170176. Its totient is φ = 70210840320.

The previous prime is 106016601763. The next prime is 106016601799. The reversal of 106016601771 is 177106610601.

It is not a de Polignac number, because 106016601771 - 23 = 106016601763 is a prime.

It is a super-2 number, since 2×1060166017712 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106016601571) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1889011 + ... + 1944323.

It is an arithmetic number, because the mean of its divisors is an integer number (6422840424).

Almost surely, 2106016601771 is an apocalyptic number.

106016601771 is a deficient number, since it is larger than the sum of its proper divisors (48131568405).

106016601771 is a wasteful number, since it uses less digits than its factorization.

106016601771 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56723 (or 56720 counting only the distinct ones).

The product of its (nonzero) digits is 10584, while the sum is 36.

The spelling of 106016601771 in words is "one hundred six billion, sixteen million, six hundred one thousand, seven hundred seventy-one".

Divisors: 1 3 9 173 519 1231 1557 3693 11079 55313 165939 212963 497817 638889 1916667 9569149 28707447 68090303 86122341 204270909 612812727 11779622419 35338867257 106016601771