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113133231111033 = 3374767631883177
BaseRepresentation
bin11001101110010011100010…
…000011010111101101111001
3112211120102122101122202021000
4121232103202003113231321
5104312033324131023113
61040340404444235213
732554414634525040
oct3156234203275571
9484512571582230
10113133231111033
11330585966485a1
1210831b8a23bb09
134b185582182b3
141dd196b4a9557
15d12cc57b1373
hex66e4e20d7b79

113133231111033 has 64 divisors (see below), whose sum is σ = 195652853637120. Its totient is φ = 63262691404416.

The previous prime is 113133231111001. The next prime is 113133231111071. The reversal of 113133231111033 is 330111132331311.

113133231111033 is a `hidden beast` number, since 1 + 1 + 3 + 1 + 332 + 311 + 1 + 10 + 3 + 3 = 666.

It is not a de Polignac number, because 113133231111033 - 25 = 113133231111001 is a prime.

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 = 113133231110988 and 113133231111006.

It is not an unprimeable number, because it can be changed into a prime (113133231111073) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 59134141 + ... + 61017317.

It is an arithmetic number, because the mean of its divisors is an integer number (3057075838080).

Almost surely, 2113133231111033 is an apocalyptic number.

It is an amenable number.

113133231111033 is a deficient number, since it is larger than the sum of its proper divisors (82519622526087).

113133231111033 is a wasteful number, since it uses less digits than its factorization.

113133231111033 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1890003 (or 1889997 counting only the distinct ones).

The product of its (nonzero) digits is 1458, while the sum is 27.

Adding to 113133231111033 its reverse (330111132331311), we get a palindrome (443244363442344).

The spelling of 113133231111033 in words is "one hundred thirteen trillion, one hundred thirty-three billion, two hundred thirty-one million, one hundred eleven thousand, thirty-three".

Divisors: 1 3 7 9 21 27 47 63 141 189 329 423 987 1269 2961 6763 8883 20289 47341 60867 142023 182601 317861 426069 953583 1278207 1883177 2225027 2860749 5649531 6675081 8582247 13182239 16948593 20025243 39546717 50845779 60075729 88509319 118640151 265527957 355920453 619565233 796583871 1858695699 2389751613 5576087097 12735926051 16728261291 38207778153 89151482357 114623334459 267454447071 343870003377 598588524397 802363341213 1795765573191 2407090023639 4190119670779 5387296719573 12570359012337 16161890158719 37711077037011 113133231111033