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106610206311 = 32783172311833
BaseRepresentation
bin110001101001001110…
…1101010011001100111
3101012011211220121121200
41203102131222121213
53221314203100221
6120550454413543
710462620542010
oct1432235523147
9335154817550
10106610206311
1141238755a24
12187b36612b3
13a09013881b
145234d12007
152b8e709426
hex18d276a667

106610206311 has 48 divisors (see below), whose sum is σ = 178230264576. Its totient is φ = 60146126208.

The previous prime is 106610206279. The next prime is 106610206321. The reversal of 106610206311 is 113602016601.

106610206311 is a `hidden beast` number, since 1 + 0 + 6 + 6 + 1 + 0 + 20 + 631 + 1 = 666.

It is not a de Polignac number, because 106610206311 - 25 = 106610206279 is a prime.

It is a super-2 number, since 2×1066102063112 (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 (106610206321) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9003651 + ... + 9015483.

It is an arithmetic number, because the mean of its divisors is an integer number (3713130512).

Almost surely, 2106610206311 is an apocalyptic number.

106610206311 is a deficient number, since it is larger than the sum of its proper divisors (71620058265).

106610206311 is a wasteful number, since it uses less digits than its factorization.

106610206311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13652 (or 13649 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The spelling of 106610206311 in words is "one hundred six billion, six hundred ten million, two hundred six thousand, three hundred eleven".

Divisors: 1 3 7 9 21 63 83 249 581 747 1723 1743 5169 5229 11833 12061 15507 35499 36183 82831 106497 108549 143009 248493 429027 745479 982139 1001063 1287081 2946417 3003189 6874973 8839251 9009567 20388259 20624919 61164777 61874757 142717813 183494331 428153439 1284460317 1692225497 5076676491 11845578479 15230029473 35536735437 106610206311