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103214200 = 23521134567
BaseRepresentation
bin1100010011011…
…10110001111000
321012012211021011
412021232301320
5202410323300
614124123304
72362210015
oct611566170
9235184234
10103214200
11532973a1
122a696534
13184ca7bb
14d9ca70c
1590dbeba
hex626ec78

103214200 has 48 divisors (see below), whose sum is σ = 242149680. Its totient is φ = 40911360.

The previous prime is 103214197. The next prime is 103214269. The reversal of 103214200 is 2412301.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20317 + ... + 24883.

It is an arithmetic number, because the mean of its divisors is an integer number (5044785).

Almost surely, 2103214200 is an apocalyptic number.

103214200 is a gapful number since it is divisible by the number (10) 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 103214200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121074840).

103214200 is an abundant number, since it is smaller than the sum of its proper divisors (138935480).

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

103214200 is a wasteful number, since it uses less digits than its factorization.

103214200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4696 (or 4687 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 103214200 is about 10159.4389608876. The cubic root of 103214200 is about 469.0795324317.

Adding to 103214200 its reverse (2412301), we get a palindrome (105626501).

The spelling of 103214200 in words is "one hundred three million, two hundred fourteen thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 113 200 226 452 565 904 1130 2260 2825 4520 4567 5650 9134 11300 18268 22600 22835 36536 45670 91340 114175 182680 228350 456700 516071 913400 1032142 2064284 2580355 4128568 5160710 10321420 12901775 20642840 25803550 51607100 103214200