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331101032130 = 233511294193761
BaseRepresentation
bin1001101000101110010…
…10001100111011000010
31011122122000000011021000
410310113022030323002
520411043331012010
6412034500112430
732630664223401
oct4642712147302
91148560004230
10331101032130
111184679a0040
1254205095716
13252b83463bb
141204d8b7638
15892ccc47c0
hex4d1728cec2

331101032130 has 256 divisors, whose sum is σ = 1020730636800. Its totient is φ = 75608064000.

The previous prime is 331101032027. The next prime is 331101032177. The reversal of 331101032130 is 31230101133.

It is a happy number.

331101032130 is a `hidden beast` number, since 3 + 311 + 0 + 1 + 0 + 321 + 30 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3484450 + ... + 3578210.

It is an arithmetic number, because the mean of its divisors is an integer number (3987229050).

Almost surely, 2331101032130 is an apocalyptic number.

331101032130 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 331101032130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (510365318400).

331101032130 is an abundant number, since it is smaller than the sum of its proper divisors (689629604670).

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

331101032130 is a wasteful number, since it uses less digits than its factorization.

331101032130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93858 (or 93852 counting only the distinct ones).

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

Adding to 331101032130 its reverse (31230101133), we get a palindrome (362331133263).

The spelling of 331101032130 in words is "three hundred thirty-one billion, one hundred one million, thirty-two thousand, one hundred thirty".