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213295104 = 2133211263
BaseRepresentation
bin11001011011010…
…10000000000000
3112212100111212200
430231222000000
5414100420404
633055353200
75166656421
oct1455520000
9485314780
10213295104
11aa443850
125b522800
1335260929
1420483648
1513ad3839
hexcb6a000

213295104 has 168 divisors, whose sum is σ = 674717472. Its totient is φ = 64389120.

The previous prime is 213295099. The next prime is 213295109. The reversal of 213295104 is 401592312.

It is an interprime number because it is at equal distance from previous prime (213295099) and next prime (213295109).

It is not an unprimeable number, because it can be changed into a prime (213295109) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 810877 + ... + 811139.

Almost surely, 2213295104 is an apocalyptic number.

213295104 is a gapful number since it is divisible by the number (24) 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 213295104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (337358736).

213295104 is an abundant number, since it is smaller than the sum of its proper divisors (461422368).

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

213295104 is a wasteful number, since it uses less digits than its factorization.

213295104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306 (or 279 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 213295104 is about 14604.6261164057. The cubic root of 213295104 is about 597.4849388429.

The spelling of 213295104 in words is "two hundred thirteen million, two hundred ninety-five thousand, one hundred four".