Search a number
-
+
1056061105029 = 32731540737893
BaseRepresentation
bin11110101111000100010…
…01011010001110000101
310201221212201021122010100
433113202021122032011
5114300303120330104
62125051530314313
7136204115165640
oct17274211321605
93657781248110
101056061105029
11377966a64957
12150808888999
137878097a238
1439183b30a57
151c70d2b4139
hexf5e225a385

1056061105029 has 24 divisors (see below), whose sum is σ = 1799575711232. Its totient is φ = 583996923360.

The previous prime is 1056061104949. The next prime is 1056061105051. The reversal of 1056061105029 is 9205011606501.

1056061105029 is a `hidden beast` number, since 1 + 0 + 560 + 61 + 10 + 5 + 0 + 29 = 666.

1056061105029 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 1056061105029 - 28 = 1056061104773 is a prime.

It is a super-3 number, since 3×10560611050293 (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1056061104984 and 1056061105002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1056061106029) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 270366994 + ... + 270370899.

Almost surely, 21056061105029 is an apocalyptic number.

It is an amenable number.

1056061105029 is a deficient number, since it is larger than the sum of its proper divisors (743514606203).

1056061105029 is a wasteful number, since it uses less digits than its factorization.

1056061105029 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 540737937 (or 540737934 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 36.

The spelling of 1056061105029 in words is "one trillion, fifty-six billion, sixty-one million, one hundred five thousand, twenty-nine".

Divisors: 1 3 7 9 21 31 63 93 217 279 651 1953 540737893 1622213679 3785165251 4866641037 11355495753 16762874683 34066487259 50288624049 117340122781 150865872147 352020368343 1056061105029