Search a number
-
+
131234003628 = 2237213532271427
BaseRepresentation
bin111101000111000100…
…1111111101010101100
3110112201220221010100220
41322032021333222230
54122231401104003
6140142120051340
712324046424400
oct1721611775254
9415656833326
10131234003628
11507241a0342
1221526003b50
13c4b57433b0
1464cd32b100
153631369353
hex1e8e27faac

131234003628 has 288 divisors, whose sum is σ = 392841840384. Its totient is φ = 33784837632.

The previous prime is 131234003617. The next prime is 131234003633. The reversal of 131234003628 is 826300432131.

131234003628 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 91964251 + ... + 91965677.

It is an arithmetic number, because the mean of its divisors is an integer number (1364034168).

Almost surely, 2131234003628 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 131234003628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196420920192).

131234003628 is an abundant number, since it is smaller than the sum of its proper divisors (261607836756).

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

131234003628 is a wasteful number, since it uses less digits than its factorization.

131234003628 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1741 (or 1732 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 33.

Adding to 131234003628 its reverse (826300432131), we get a palindrome (957534435759).

The spelling of 131234003628 in words is "one hundred thirty-one billion, two hundred thirty-four million, three thousand, six hundred twenty-eight".