Search a number
-
+
231303131334 = 23611293713441
BaseRepresentation
bin1101011101101010111…
…1011011000011000110
3211010000220122112000000
43113122233123003012
512242202100200314
6254131552502130
722465623114402
oct3273257330306
9733026575000
10231303131334
118a105651080
12389b2b4a946
1318a726775b2
14b2a3624102
15603b6ab209
hex35dabdb0c6

231303131334 has 224 divisors, whose sum is σ = 602964030240. Its totient is φ = 65840947200.

The previous prime is 231303131287. The next prime is 231303131359. The reversal of 231303131334 is 433131303132.

231303131334 is a `hidden beast` number, since 2 + 3 + 13 + 0 + 313 + 1 + 334 = 666.

It is a super-2 number, since 2×2313031313342 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 231303131298 and 231303131307.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 17202054 + ... + 17215494.

Almost surely, 2231303131334 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 231303131334, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301482015120).

231303131334 is an abundant number, since it is smaller than the sum of its proper divisors (371660898906).

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

231303131334 is a wasteful number, since it uses less digits than its factorization.

231303131334 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13538 (or 13523 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

Adding to 231303131334 its reverse (433131303132), we get a palindrome (664434434466).

The spelling of 231303131334 in words is "two hundred thirty-one billion, three hundred three million, one hundred thirty-one thousand, three hundred thirty-four".