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1106214912 = 2153211231
BaseRepresentation
bin100000111101111…
…1000000000000000
32212002112112120200
41001323320000000
54231142334122
6301434005200
736261446235
oct10173700000
92762475520
101106214912
1151847a700
1226a576800
1314824874a
14a6cb978c
15671b25ac
hex41ef8000

1106214912 has 288 divisors, whose sum is σ = 3625920480. Its totient is φ = 324403200.

The previous prime is 1106214911. The next prime is 1106214913. The reversal of 1106214912 is 2194126011.

1106214912 is a `hidden beast` number, since 110 + 62 + 1 + 491 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (1106214911) and next prime (1106214913).

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×11062149122 = 2447422863062335488, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1106214911) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 35684337 + ... + 35684367.

Almost surely, 21106214912 is an apocalyptic number.

1106214912 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 1106214912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1812960240).

1106214912 is an abundant number, since it is smaller than the sum of its proper divisors (2519705568).

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

1106214912 is an equidigital number, since it uses as much as digits as its factorization.

1106214912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 1106214912 is about 33259.8092598259. The cubic root of 1106214912 is about 1034.2205655924.

The spelling of 1106214912 in words is "one billion, one hundred six million, two hundred fourteen thousand, nine hundred twelve".