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1106115612 = 223722278287
BaseRepresentation
bin100000111101101…
…1111110000011100
32212002100111100220
41001323133300130
54231131144422
6301431521340
736260553600
oct10173376034
92762314326
101106115612
11518412038
1226a529250
131482124a4
14a6c91500
1567192e5c
hex41edfc1c

1106115612 has 72 divisors (see below), whose sum is σ = 3015903744. Its totient is φ = 314602848.

The previous prime is 1106115587. The next prime is 1106115631. The reversal of 1106115612 is 2165116011.

It is a super-2 number, since 2×11061156122 = 2446983494220269088, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 129333 + ... + 137619.

It is an arithmetic number, because the mean of its divisors is an integer number (41887552).

Almost surely, 21106115612 is an apocalyptic number.

1106115612 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1106115612, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1507951872).

1106115612 is an abundant number, since it is smaller than the sum of its proper divisors (1909788132).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1106115612 is a wasteful number, since it uses less digits than its factorization.

1106115612 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8535 (or 8526 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 24.

The square root of 1106115612 is about 33258.3164336381. The cubic root of 1106115612 is about 1034.1896188706.

The spelling of 1106115612 in words is "one billion, one hundred six million, one hundred fifteen thousand, six hundred twelve".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 84 98 147 196 227 294 454 588 681 908 1362 1589 2724 3178 4767 6356 8287 9534 11123 16574 19068 22246 24861 33148 33369 44492 49722 58009 66738 99444 116018 133476 174027 232036 348054 406063 696108 812126 1218189 1624252 1881149 2436378 3762298 4872756 5643447 7524596 11286894 13168043 22573788 26336086 39504129 52672172 79008258 92176301 158016516 184352602 276528903 368705204 553057806 1106115612