Search a number
-
+
213044134213130 = 251117313675075629
BaseRepresentation
bin110000011100001100110011…
…111100001111011000001010
31000221022211011000102220121012
4300130030303330033120022
5210411003341324310010
62033035042451243522
762605634151602423
oct6034146374173012
91027284130386535
10213044134213130
1161978567794650
121ba894695a95a2
1391b4c8b6805bc
143a8756930664a
151996b78145005
hexc1c333f0f60a

213044134213130 has 64 divisors (see below), whose sum is σ = 457238209582080. Its totient is φ = 70561452057600.

The previous prime is 213044134213103. The next prime is 213044134213151. The reversal of 213044134213130 is 31312431440312.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1837479845 + ... + 1837595784.

It is an arithmetic number, because the mean of its divisors is an integer number (7144347024720).

Almost surely, 2213044134213130 is an apocalyptic number.

213044134213130 is an abundant number, since it is smaller than the sum of its proper divisors (244194075368950).

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

213044134213130 is a wasteful number, since it uses less digits than its factorization.

213044134213130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3675075695.

The product of its (nonzero) digits is 20736, while the sum is 32.

Adding to 213044134213130 its reverse (31312431440312), we get a palindrome (244356565653442).

The spelling of 213044134213130 in words is "two hundred thirteen trillion, forty-four billion, one hundred thirty-four million, two hundred thirteen thousand, one hundred thirty".

Divisors: 1 2 5 10 11 17 22 31 34 55 62 85 110 155 170 187 310 341 374 527 682 935 1054 1705 1870 2635 3410 5270 5797 11594 28985 57970 3675075629 7350151258 18375378145 36750756290 40425831919 62476285693 80851663838 113927344499 124952571386 202129159595 227854688998 312381428465 404258319190 569636722495 624762856930 687239142623 1139273444990 1253200789489 1374478285246 1936764856483 2506401578978 3436195713115 3873529712966 6266003947445 6872391426230 9683824282415 12532007894890 19367648564830 21304413421313 42608826842626 106522067106565 213044134213130