Search a number
-
+
211132100124 = 2233111939723561
BaseRepresentation
bin1100010010100001110…
…1000010111000011100
3202011222011021222001000
43010220131002320130
511424344304200444
6240554233350300
721153023145261
oct3045035027034
9664864258030
10211132100124
11815a4625850
1234b03868390
1316ba971917a
14a30c73b268
15575a909469
hex3128742e1c

211132100124 has 192 divisors, whose sum is σ = 630179827200. Its totient is φ = 60456844800.

The previous prime is 211132100119. The next prime is 211132100129. The reversal of 211132100124 is 421001231112.

It is an interprime number because it is at equal distance from previous prime (211132100119) and next prime (211132100129).

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

It is a junction number, because it is equal to n+sod(n) for n = 211132100097 and 211132100106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211132100129) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8949304 + ... + 8972864.

It is an arithmetic number, because the mean of its divisors is an integer number (3282186600).

Almost surely, 2211132100124 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211132100124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (315089913600).

211132100124 is an abundant number, since it is smaller than the sum of its proper divisors (419047727076).

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

211132100124 is a wasteful number, since it uses less digits than its factorization.

211132100124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24001 (or 23993 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 211132100124 its reverse (421001231112), we get a palindrome (632133331236).

The spelling of 211132100124 in words is "two hundred eleven billion, one hundred thirty-two million, one hundred thousand, one hundred twenty-four".