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105411432330 = 23251768896361
BaseRepresentation
bin110001000101100000…
…0101100111110001010
3101002002022012120212100
41202023000230332022
53211340311313310
6120231512454230
710421123251101
oct1421300547612
9332068176770
10105411432330
1140783007326
121851a0aa376
139c2b9833c9
14515da21038
152b1e361ec0
hex188b02cf8a

105411432330 has 48 divisors (see below), whose sum is σ = 290191476744. Its totient is φ = 26456202240.

The previous prime is 105411432317. The next prime is 105411432367. The reversal of 105411432330 is 33234114501.

It is a happy number.

105411432330 is a `hidden beast` number, since 10 + 5 + 411 + 4 + 3 + 233 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 66398467041 + 39012965289 = 257679^2 + 197517^2 .

It is a super-2 number, since 2×1054114323302 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105411432294 and 105411432303.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34446651 + ... + 34449710.

Almost surely, 2105411432330 is an apocalyptic number.

105411432330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105411432330 is an abundant number, since it is smaller than the sum of its proper divisors (184780044414).

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

105411432330 is a wasteful number, since it uses less digits than its factorization.

105411432330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68896391 (or 68896388 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

Adding to 105411432330 its reverse (33234114501), we get a palindrome (138645546831).

The spelling of 105411432330 in words is "one hundred five billion, four hundred eleven million, four hundred thirty-two thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 17 18 30 34 45 51 85 90 102 153 170 255 306 510 765 1530 68896361 137792722 206689083 344481805 413378166 620067249 688963610 1033445415 1171238137 1240134498 2066890830 2342476274 3100336245 3513714411 5856190685 6200672490 7027428822 10541143233 11712381370 17568572055 21082286466 35137144110 52705716165 105411432330