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210103300 = 225211409467
BaseRepresentation
bin11001000010111…
…10110000000100
3112122100100112201
430201132300010
5412241301200
632503124244
75130564031
oct1441366004
9478310481
10210103300
11a86637a0
125a443684
13346b3ba4
141dc92388
15136a2c6a
hexc85ec04

210103300 has 72 divisors (see below), whose sum is σ = 499655520. Its totient is φ = 76051200.

The previous prime is 210103297. The next prime is 210103343. The reversal of 210103300 is 3301012.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 449667 + ... + 450133.

It is an arithmetic number, because the mean of its divisors is an integer number (6939660).

Almost surely, 2210103300 is an apocalyptic number.

210103300 is a gapful number since it is divisible by the number (20) 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 210103300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249827760).

210103300 is an abundant number, since it is smaller than the sum of its proper divisors (289552220).

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

210103300 is a wasteful number, since it uses less digits than its factorization.

210103300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 901 (or 894 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 10.

The square root of 210103300 is about 14494.9404966009. The cubic root of 210103300 is about 594.4896407505.

Adding to 210103300 its reverse (3301012), we get a palindrome (213404312).

It can be divided in two parts, 21010 and 3300, that added together give a triangular number (24310 = T220).

The spelling of 210103300 in words is "two hundred ten million, one hundred three thousand, three hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 220 275 409 467 550 818 934 1100 1636 1868 2045 2335 4090 4499 4670 5137 8180 8998 9340 10225 10274 11675 17996 20450 20548 22495 23350 25685 40900 44990 46700 51370 89980 102740 112475 128425 191003 224950 256850 382006 449900 513700 764012 955015 1910030 2101033 3820060 4202066 4775075 8404132 9550150 10505165 19100300 21010330 42020660 52525825 105051650 210103300