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103520214 = 23371371999
BaseRepresentation
bin1100010101110…
…01011111010110
321012210101001000
412022321133112
5203000121324
614134444130
72364623130
oct612713726
9235711030
10103520214
11534862a6
122a803646
13185a6b85
14da6a050
15914c9c9
hex62b97d6

103520214 has 64 divisors (see below), whose sum is σ = 264960000. Its totient is φ = 29346624.

The previous prime is 103520213. The next prime is 103520237. The reversal of 103520214 is 412025301.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103520213) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 50787 + ... + 52785.

It is an arithmetic number, because the mean of its divisors is an integer number (4140000).

Almost surely, 2103520214 is an apocalyptic number.

103520214 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 103520214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132480000).

103520214 is an abundant number, since it is smaller than the sum of its proper divisors (161439786).

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

103520214 is a wasteful number, since it uses less digits than its factorization.

103520214 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2154 (or 2148 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 103520214 is about 10174.4883900863. The cubic root of 103520214 is about 469.5426575783.

Adding to 103520214 its reverse (412025301), we get a palindrome (515545515).

The spelling of 103520214 in words is "one hundred three million, five hundred twenty thousand, two hundred fourteen".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 126 137 189 274 378 411 822 959 1233 1918 1999 2466 2877 3699 3998 5754 5997 7398 8631 11994 13993 17262 17991 25893 27986 35982 41979 51786 53973 83958 107946 125937 251874 273863 377811 547726 755622 821589 1643178 1917041 2464767 3834082 4929534 5751123 7394301 11502246 14788602 17253369 34506738 51760107 103520214