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331201031130 = 23253141101109263
BaseRepresentation
bin1001101000111010001…
…11101010101111011010
31011122212222011122002200
410310131013222233122
520411244430444010
6412052431311030
732633320212564
oct4643507525732
91148788148080
10331201031130
11118509390842
125423267b476
1325302c895c8
141205cca8334
158936978cc0
hex4d1d1eabda

331201031130 has 384 divisors, whose sum is σ = 931562311680. Its totient is φ = 81492480000.

The previous prime is 331201031111. The next prime is 331201031137. The reversal of 331201031130 is 31130102133.

It is a happy number.

331201031130 is a `hidden beast` number, since 3 + 312 + 0 + 10 + 311 + 30 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (331201031137) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1259319379 + ... + 1259319641.

It is an arithmetic number, because the mean of its divisors is an integer number (2425943520).

Almost surely, 2331201031130 is an apocalyptic number.

331201031130 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 331201031130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (465781155840).

331201031130 is an abundant number, since it is smaller than the sum of its proper divisors (600361280550).

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

331201031130 is a wasteful number, since it uses less digits than its factorization.

331201031130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 558 (or 555 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 331201031130 its reverse (31130102133), we get a palindrome (362331133263).

The spelling of 331201031130 in words is "three hundred thirty-one billion, two hundred one million, thirty-one thousand, one hundred thirty".