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213103050 = 235219233251
BaseRepresentation
bin11001011001110…
…11000111001010
3112211222202102120
430230323013022
5414023244200
633051312110
75165226456
oct1454730712
9484882376
10213103050
11aa322526
125b44b636
13351c43a4
1420433666
1513a969a0
hexcb3b1ca

213103050 has 96 divisors (see below), whose sum is σ = 580677120. Its totient is φ = 51480000.

The previous prime is 213103039. The next prime is 213103057. The reversal of 213103050 is 50301312.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (213103057) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 63925 + ... + 67175.

It is an arithmetic number, because the mean of its divisors is an integer number (6048720).

Almost surely, 2213103050 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213103050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290338560).

213103050 is an abundant number, since it is smaller than the sum of its proper divisors (367574070).

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

213103050 is a wasteful number, since it uses less digits than its factorization.

213103050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3308 (or 3303 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 15.

The square root of 213103050 is about 14598.0495272485. The cubic root of 213103050 is about 597.3055569628.

Adding to 213103050 its reverse (50301312), we get a palindrome (263404362).

It can be divided in two parts, 2131030 and 50, that added together give a triangular number (2131080 = T2064).

The spelling of 213103050 in words is "two hundred thirteen million, one hundred three thousand, fifty".

Divisors: 1 2 3 5 6 10 15 19 23 25 30 38 46 50 57 69 75 95 114 115 138 150 190 230 285 345 437 475 570 575 690 874 950 1150 1311 1425 1725 2185 2622 2850 3251 3450 4370 6502 6555 9753 10925 13110 16255 19506 21850 32510 32775 48765 61769 65550 74773 81275 97530 123538 149546 162550 185307 224319 243825 308845 370614 373865 448638 487650 617690 747730 926535 1121595 1420687 1544225 1853070 1869325 2243190 2841374 3088450 3738650 4262061 4632675 5607975 7103435 8524122 9265350 11215950 14206870 21310305 35517175 42620610 71034350 106551525 213103050