Search a number
-
+
1051105244541 = 311156720326531
BaseRepresentation
bin11110100101110101100…
…00010011010101111101
310201111002022221211120220
433102322300103111331
5114210130420311131
62122512053131553
7135640240110042
oct17227260232575
93644068854526
101051105244541
11375853565590
1214b865029bb9
1378171004401
1438c3387d1c9
151c51d17ae96
hexf4bac1357d

1051105244541 has 16 divisors (see below), whose sum is σ = 1529856104448. Its totient is φ = 636626919600.

The previous prime is 1051105244479. The next prime is 1051105244551. The reversal of 1051105244541 is 1454425011501.

It is a de Polignac number, because none of the positive numbers 2k-1051105244541 is a prime.

It is a super-3 number, since 3×10511052445413 (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1051105244551) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10111555 + ... + 10214976.

It is an arithmetic number, because the mean of its divisors is an integer number (95616006528).

Almost surely, 21051105244541 is an apocalyptic number.

1051105244541 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1051105244541 is a deficient number, since it is larger than the sum of its proper divisors (478750859907).

1051105244541 is a wasteful number, since it uses less digits than its factorization.

1051105244541 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20328112.

The product of its (nonzero) digits is 16000, while the sum is 33.

The spelling of 1051105244541 in words is "one trillion, fifty-one billion, one hundred five million, two hundred forty-four thousand, five hundred forty-one".

Divisors: 1 3 11 33 1567 4701 17237 51711 20326531 60979593 223591841 670775523 31851674077 95555022231 350368414847 1051105244541