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1130104414134 = 23389797295037
BaseRepresentation
bin10000011100011111011…
…110001101111110110110
311000000222220211110101000
4100130133132031332312
5122003423212223014
62223055055344130
7144435020011533
oct20343736157666
94000886743330
101130104414134
113a63025309a3
12163031822046
138275099b087
143c9a9731d8a
151e5e3852509
hex1071f78dfb6

1130104414134 has 64 divisors (see below), whose sum is σ = 2542755499200. Its totient is φ = 372000271104.

The previous prime is 1130104414079. The next prime is 1130104414151. The reversal of 1130104414134 is 4314144010311.

1130104414134 is a `hidden beast` number, since 1 + 13 + 0 + 104 + 414 + 134 = 666.

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 = 1130104414098 and 1130104414107.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3682864 + ... + 3977900.

It is an arithmetic number, because the mean of its divisors is an integer number (39730554675).

Almost surely, 21130104414134 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1130104414134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1271377749600).

1130104414134 is an abundant number, since it is smaller than the sum of its proper divisors (1412651085066).

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

1130104414134 is a wasteful number, since it uses less digits than its factorization.

1130104414134 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 295934 (or 295928 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 1130104414134 its reverse (4314144010311), we get a palindrome (5444248424445).

The spelling of 1130104414134 in words is "one trillion, one hundred thirty billion, one hundred four million, four hundred fourteen thousand, one hundred thirty-four".

Divisors: 1 2 3 6 9 18 27 54 89 178 267 534 797 801 1594 1602 2391 2403 4782 4806 7173 14346 21519 43038 70933 141866 212799 295037 425598 590074 638397 885111 1276794 1770222 1915191 2655333 3830382 5310666 7965999 15931998 26258293 52516586 78774879 157549758 235144489 236324637 470288978 472649274 705433467 708973911 1410866934 1417947822 2116300401 4232600802 6348901203 12697802406 20927859521 41855719042 62783578563 125567157126 188350735689 376701471378 565052207067 1130104414134