Search a number
-
+
213203411232 = 2537317266981
BaseRepresentation
bin1100011010001111101…
…0011110000100100000
3202101022111211110201020
43012203322132010200
511443120033124412
6241535545005440
721255244044210
oct3064372360440
9671274743636
10213203411232
1182467849509
12353a1483880
13171498a0a46
14a46787a240
15582c6a618c
hex31a3e9e120

213203411232 has 48 divisors (see below), whose sum is σ = 639610235712. Its totient is φ = 60915260160.

The previous prime is 213203411221. The next prime is 213203411233. The reversal of 213203411232 is 232114302312.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×2132034112322 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (213203411233) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 158632819 + ... + 158634162.

It is an arithmetic number, because the mean of its divisors is an integer number (13325213244).

Almost surely, 2213203411232 is an apocalyptic number.

It is an amenable number.

213203411232 is an abundant number, since it is smaller than the sum of its proper divisors (426406824480).

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

213203411232 is a wasteful number, since it uses less digits than its factorization.

213203411232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 317267001 (or 317266993 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 213203411232 its reverse (232114302312), we get a palindrome (445317713544).

The spelling of 213203411232 in words is "two hundred thirteen billion, two hundred three million, four hundred eleven thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 317266981 634533962 951800943 1269067924 1903601886 2220868867 2538135848 3807203772 4441737734 5076271696 6662606601 7614407544 8883475468 10152543392 13325213202 15228815088 17766950936 26650426404 30457630176 35533901872 53300852808 71067803744 106601705616 213203411232