Search a number
-
+
10003312213231 = 199421237150359
BaseRepresentation
bin1001000110010001001111…
…0111101111110011101111
31022102022022000202010012111
42101210103313233303233
52302343240411310411
633135242545144451
72051500254604531
oct221442367576357
938368260663174
1010003312213231
113207420a5a927
12115686102b127
135774014258cc
1426823cda7851
15125320b09721
hex91913defcef

10003312213231 has 16 divisors (see below), whose sum is σ = 10081910848000. Its totient is φ = 9925017933600.

The previous prime is 10003312213217. The next prime is 10003312213267. The reversal of 10003312213231 is 13231221330001.

It is a cyclic number.

It is not a de Polignac number, because 10003312213231 - 213 = 10003312205039 is a prime.

It is a super-2 number, since 2×100033122132312 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10003312210231) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 198614830 + ... + 198665188.

It is an arithmetic number, because the mean of its divisors is an integer number (630119428000).

Almost surely, 210003312213231 is an apocalyptic number.

10003312213231 is a deficient number, since it is larger than the sum of its proper divisors (78598634769).

10003312213231 is a wasteful number, since it uses less digits than its factorization.

10003312213231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53350.

The product of its (nonzero) digits is 648, while the sum is 22.

Adding to 10003312213231 its reverse (13231221330001), we get a palindrome (23234533543232).

The spelling of 10003312213231 in words is "ten trillion, three billion, three hundred twelve million, two hundred thirteen thousand, two hundred thirty-one".

Divisors: 1 199 421 2371 50359 83779 471829 998191 10021441 21201139 119401189 198640009 4219026661 23760836611 50267900569 10003312213231