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210134100 = 2235211371721
BaseRepresentation
bin11001000011001…
…10010001010100
3112122101220210110
430201212101110
5412243242400
632503523020
75131052601
oct1441462124
9478356713
10210134100
11a8684950
125a459470
13346c4c07
141dc9d6a8
15136abe50
hexc866454

210134100 has 144 divisors (see below), whose sum is σ = 681581376. Its totient is φ = 49536000.

The previous prime is 210134083. The next prime is 210134101. The reversal of 210134100 is 1431012.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (210134101) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 121240 + ... + 122960.

It is an arithmetic number, because the mean of its divisors is an integer number (4733204).

Almost surely, 2210134100 is an apocalyptic number.

210134100 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 210134100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (340790688).

210134100 is an abundant number, since it is smaller than the sum of its proper divisors (471447276).

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

210134100 is a wasteful number, since it uses less digits than its factorization.

210134100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1786 (or 1779 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 210134100 is about 14496.0028973507. The cubic root of 210134100 is about 594.5186889795.

Adding to 210134100 its reverse (1431012), we get a palindrome (211565112).

The spelling of 210134100 in words is "two hundred ten million, one hundred thirty-four thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 37 44 50 55 60 66 74 75 100 110 111 132 148 150 165 185 220 222 275 300 330 370 407 444 550 555 660 740 814 825 925 1100 1110 1221 1628 1650 1721 1850 2035 2220 2442 2775 3300 3442 3700 4070 4884 5163 5550 6105 6884 8140 8605 10175 10326 11100 12210 17210 18931 20350 20652 24420 25815 30525 34420 37862 40700 43025 51630 56793 61050 63677 75724 86050 94655 103260 113586 122100 127354 129075 172100 189310 191031 227172 254708 258150 283965 318385 378620 382062 473275 516300 567930 636770 700447 764124 946550 955155 1135860 1273540 1400894 1419825 1591925 1893100 1910310 2101341 2801788 2839650 3183850 3502235 3820620 4202682 4775775 5679300 6367700 7004470 8405364 9551550 10506705 14008940 17511175 19103100 21013410 35022350 42026820 52533525 70044700 105067050 210134100