Search a number
-
+
213211100113 = 112331119322787
BaseRepresentation
bin1100011010010001011…
…1110011001111010001
3202101100001022002212121
43012210113303033101
511443124020200423
6241540421454241
721255366306604
oct3064427631721
9671301262777
10213211100113
1182471120260
12353a3b71381
131714b36368b
14a4688bc33b
15582d1c445d
hex31a45f33d1

213211100113 has 32 divisors (see below), whose sum is σ = 250756964352. Its totient is φ = 179262019200.

The previous prime is 213211100107. The next prime is 213211100213. The reversal of 213211100113 is 311001112312.

It is a happy number.

It is not a de Polignac number, because 213211100113 - 213 = 213211091921 is a prime.

It is a super-2 number, since 2×2132111001132 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (213211100213) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9345306 + ... + 9368092.

It is an arithmetic number, because the mean of its divisors is an integer number (7836155136).

Almost surely, 2213211100113 is an apocalyptic number.

213211100113 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

It is an amenable number.

213211100113 is a deficient number, since it is larger than the sum of its proper divisors (37545864239).

213211100113 is a wasteful number, since it uses less digits than its factorization.

213211100113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24045.

The product of its (nonzero) digits is 36, while the sum is 16.

Adding to 213211100113 its reverse (311001112312), we get a palindrome (524212212425).

The spelling of 213211100113 in words is "two hundred thirteen billion, two hundred eleven million, one hundred thousand, one hundred thirteen".

Divisors: 1 11 23 31 253 341 713 1193 7843 13123 22787 27439 36983 250657 301829 406813 524101 706397 850609 5765111 7770367 9356699 16247131 27184891 178718441 299033801 625252493 842731621 6877777423 9270047831 19382827283 213211100113