Search a number
-
+
1110023133012 = 2232109282880513
BaseRepresentation
bin10000001001110010100…
…010001101011101010100
310221010011102100200101100
4100021302202031131110
5121141311410224022
62205534304030100
7143124256644453
oct20116242153524
93833142320340
101110023133012
113988381361a2
1215b168602330
13808a0504c01
143ba2272cb9a
151dd1a8cd1ac
hex1027288d754

1110023133012 has 36 divisors (see below), whose sum is σ = 2831633945140. Its totient is φ = 366613143552.

The previous prime is 1110023132969. The next prime is 1110023133019. The reversal of 1110023133012 is 2103313200111.

1110023133012 is a `hidden beast` number, since 1 + 1 + 100 + 231 + 330 + 1 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 999908002116 + 110115130896 = 999954^2 + 331836^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1110023133019) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 141436333 + ... + 141444180.

Almost surely, 21110023133012 is an apocalyptic number.

1110023133012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1110023133012 is an abundant number, since it is smaller than the sum of its proper divisors (1721610812128).

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

1110023133012 is a wasteful number, since it uses less digits than its factorization.

1110023133012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282880632 (or 282880627 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 1110023133012 its reverse (2103313200111), we get a palindrome (3213336333123).

The spelling of 1110023133012 in words is "one trillion, one hundred ten billion, twenty-three million, one hundred thirty-three thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 36 109 218 327 436 654 981 1308 1962 3924 282880513 565761026 848641539 1131522052 1697283078 2545924617 3394566156 5091849234 10183698468 30833975917 61667951834 92501927751 123335903668 185003855502 277505783253 370007711004 555011566506 1110023133012