Search a number
-
+
132001211100 = 2235211229373389
BaseRepresentation
bin111101011101111100…
…0101010001011011100
3110121201101120022011110
41322323320222023130
54130314302223400
6140350204022020
712352053532023
oct1727370521334
9417641508143
10132001211100
1150a88273700
12216bab31910
13c5a8684205
14656319b8ba
1536788b4e50
hex1ebbe2a2dc

132001211100 has 432 divisors, whose sum is σ = 446144882400. Its totient is φ = 30052915200.

The previous prime is 132001211081. The next prime is 132001211207. The reversal of 132001211100 is 1112100231.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 38948206 + ... + 38951594.

Almost surely, 2132001211100 is an apocalyptic number.

132001211100 is a gapful number since it is divisible by the number (10) 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 132001211100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223072441200).

132001211100 is an abundant number, since it is smaller than the sum of its proper divisors (314143671300).

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

132001211100 is a wasteful number, since it uses less digits than its factorization.

132001211100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3494 (or 3476 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 12.

Adding to 132001211100 its reverse (1112100231), we get a palindrome (133113311331).

The spelling of 132001211100 in words is "one hundred thirty-two billion, one million, two hundred eleven thousand, one hundred".