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213125130 = 232523149691
BaseRepresentation
bin11001011010000…
…00100000001010
3112212000212201100
430231000200022
5414030001010
633052002230
75165351031
oct1455004012
9485025640
10213125130
11aa338079
125b460376
133520145a
142043b718
1513a9d2c0
hexcb4080a

213125130 has 96 divisors (see below), whose sum is σ = 582940800. Its totient is φ = 53919360.

The previous prime is 213125117. The next prime is 213125131. The reversal of 213125130 is 31521312.

213125130 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (213125131) 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, 308085 + ... + 308775.

It is an arithmetic number, because the mean of its divisors is an integer number (6072300).

Almost surely, 2213125130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213125130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291470400).

213125130 is an abundant number, since it is smaller than the sum of its proper divisors (369815670).

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

213125130 is a wasteful number, since it uses less digits than its factorization.

213125130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 876 (or 873 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 213125130 is about 14598.8057730761. The cubic root of 213125130 is about 597.3261855604.

Adding to 213125130 its reverse (31521312), we get a palindrome (244646442).

It can be divided in two parts, 2131 and 25130, that added together give a triangular number (27261 = T233).

The spelling of 213125130 in words is "two hundred thirteen million, one hundred twenty-five thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 23 30 45 46 69 90 115 138 149 207 230 298 345 414 447 690 691 745 894 1035 1341 1382 1490 2070 2073 2235 2682 3427 3455 4146 4470 6219 6705 6854 6910 10281 10365 12438 13410 15893 17135 20562 20730 30843 31095 31786 34270 47679 51405 61686 62190 79465 95358 102810 102959 143037 154215 158930 205918 238395 286074 308430 308877 476790 514795 617754 715185 926631 1029590 1430370 1544385 1853262 2368057 3088770 4633155 4736114 7104171 9266310 11840285 14208342 21312513 23680570 35520855 42625026 71041710 106562565 213125130