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213004050 = 235271711933
BaseRepresentation
bin11001011001000…
…10111100010010
3112211210201121220
430230202330102
5414012112200
633045225510
75164335030
oct1454427422
9484721556
10213004050
11aa265106
125b402296
133518b2cc
1420409550
1513a774a0
hexcb22f12

213004050 has 96 divisors (see below), whose sum is σ = 639280512. Its totient is φ = 45818880.

The previous prime is 213004049. The next prime is 213004063. The reversal of 213004050 is 50400312.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11884 + ... + 23816.

It is an arithmetic number, because the mean of its divisors is an integer number (6659172).

Almost surely, 2213004050 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213004050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (319640256).

213004050 is an abundant number, since it is smaller than the sum of its proper divisors (426276462).

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

213004050 is a wasteful number, since it uses less digits than its factorization.

213004050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11972 (or 11967 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 213004050 is about 14594.6582693806. The cubic root of 213004050 is about 597.2130470878.

Adding to 213004050 its reverse (50400312), we get a palindrome (263404362).

The spelling of 213004050 in words is "two hundred thirteen million, four thousand, fifty".

Divisors: 1 2 3 5 6 7 10 14 15 17 21 25 30 34 35 42 50 51 70 75 85 102 105 119 150 170 175 210 238 255 350 357 425 510 525 595 714 850 1050 1190 1275 1785 2550 2975 3570 5950 8925 11933 17850 23866 35799 59665 71598 83531 119330 167062 178995 202861 250593 298325 357990 405722 417655 501186 596650 608583 835310 894975 1014305 1217166 1252965 1420027 1789950 2028610 2088275 2505930 2840054 3042915 4176550 4260081 5071525 6085830 6264825 7100135 8520162 10143050 12529650 14200270 15214575 21300405 30429150 35500675 42600810 71001350 106502025 213004050