Search a number
-
+
1070100365040 = 2432572155319531
BaseRepresentation
bin11111001001001101111…
…00111011111011110000
310210022010010121221022100
433210212330323323300
5120013031143140130
62135333004340400
7140212041011100
oct17444674737360
93708103557270
101070100365040
11382910838783
12153486544700
1379baa453b95
1439b16507200
151cc80a9ec60
hexf926f3bef0

1070100365040 has 360 divisors, whose sum is σ = 4183395089328. Its totient is φ = 244424355840.

The previous prime is 1070100365027. The next prime is 1070100365051. The reversal of 1070100365040 is 405630010701.

1070100365040 is a `hidden beast` number, since 1 + 0 + 7 + 0 + 1 + 0 + 0 + 3 + 650 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-2 number, since 2×10701003650402 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1070100364995 and 1070100365013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 54780075 + ... + 54799605.

Almost surely, 21070100365040 is an apocalyptic number.

1070100365040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1070100365040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2091697544664).

1070100365040 is an abundant number, since it is smaller than the sum of its proper divisors (3113294724288).

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

1070100365040 is a wasteful number, since it uses less digits than its factorization.

1070100365040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21117 (or 21101 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

Adding to 1070100365040 its reverse (405630010701), we get a palindrome (1475730375741).

The spelling of 1070100365040 in words is "one trillion, seventy billion, one hundred million, three hundred sixty-five thousand, forty".