Search a number
-
+
211231132112 = 2471113412711187
BaseRepresentation
bin1100010010111001011…
…0110100100111010000
3202012020001122022101102
43010232112310213100
511430100132211422
6241012132123532
721155334666260
oct3045626644720
9665201568342
10211231132112
1181645515a70
1234b30a665a8
1316bc40b1190
14a31b9597a0
15576446c192
hex312e5b49d0

211231132112 has 320 divisors, whose sum is σ = 565451808768. Its totient is φ = 73778688000.

The previous prime is 211231132103. The next prime is 211231132163.

211231132112 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 177953183 + ... + 177954369.

Almost surely, 2211231132112 is an apocalyptic number.

211231132112 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211231132112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282725904384).

211231132112 is an abundant number, since it is smaller than the sum of its proper divisors (354220676656).

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

211231132112 is a wasteful number, since it uses less digits than its factorization.

211231132112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1538 (or 1532 counting only the distinct ones).

The product of its digits is 144, while the sum is 20.

It can be divided in two parts, 211231 and 132112, that added together give a palindrome (343343).

The spelling of 211231132112 in words is "two hundred eleven billion, two hundred thirty-one million, one hundred thirty-two thousand, one hundred twelve".