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320214102 = 23132476719
BaseRepresentation
bin10011000101100…
…001010001010110
3211022112120011120
4103011201101112
51123433322402
651435144410
710635526545
oct2305412126
9738476146
10320214102
1115483065a
128b2a5106
1351457800
143075615c
151d1a33bc
hex13161456

320214102 has 48 divisors (see below), whose sum is σ = 708341760. Its totient is φ = 96416736.

The previous prime is 320214061. The next prime is 320214107. The reversal of 320214102 is 201412023.

It is a super-2 number, since 2×3202141022 = 205074142239332808, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (320214107) 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, 44299 + ... + 51017.

It is an arithmetic number, because the mean of its divisors is an integer number (14757120).

Almost surely, 2320214102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 320214102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (354170880).

320214102 is an abundant number, since it is smaller than the sum of its proper divisors (388127658).

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

320214102 is a wasteful number, since it uses less digits than its factorization.

320214102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6797 (or 6784 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 320214102 is about 17894.5271521770. The cubic root of 320214102 is about 684.1428901914.

Adding to 320214102 its reverse (201412023), we get a palindrome (521626125).

The spelling of 320214102 in words is "three hundred twenty million, two hundred fourteen thousand, one hundred two".

Divisors: 1 2 3 6 13 26 39 47 78 94 141 169 282 338 507 611 1014 1222 1833 3666 6719 7943 13438 15886 20157 23829 40314 47658 87347 174694 262041 315793 524082 631586 947379 1135511 1894758 2271022 3406533 4105309 6813066 8210618 12315927 24631854 53369017 106738034 160107051 320214102