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1101130221213 = 3211374716738299
BaseRepresentation
bin10000000001100000011…
…110011100011010011101
310220021012122202221202200
4100001200132130122131
5121020103314034323
62201504030042113
7142361014310061
oct20014036343235
93807178687680
101101130221213
11394a94337a10
121594a6349339
137cab3caa819
143b41b631aa1
151d999d06443
hex1006079c69d

1101130221213 has 96 divisors (see below), whose sum is σ = 1830869913600. Its totient is φ = 631678020480.

The previous prime is 1101130221203. The next prime is 1101130221221. The reversal of 1101130221213 is 3121220311011.

1101130221213 is a `hidden beast` number, since 1 + 101 + 130 + 221 + 213 = 666.

It is not a de Polignac number, because 1101130221213 - 24 = 1101130221197 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1101130221203) 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 95 ways as a sum of consecutive naturals, for example, 28731738 + ... + 28770036.

It is an arithmetic number, because the mean of its divisors is an integer number (19071561600).

Almost surely, 21101130221213 is an apocalyptic number.

It is an amenable number.

1101130221213 is a deficient number, since it is larger than the sum of its proper divisors (729739692387).

1101130221213 is a wasteful number, since it uses less digits than its factorization.

1101130221213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38567 (or 38564 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 1101130221213 its reverse (3121220311011), we get a palindrome (4222350532224).

The spelling of 1101130221213 in words is "one trillion, one hundred one billion, one hundred thirty million, two hundred twenty-one thousand, two hundred thirteen".

Divisors: 1 3 9 11 33 37 47 99 111 141 167 333 407 423 501 517 1221 1503 1551 1739 1837 3663 4653 5217 5511 6179 7849 15651 16533 18537 19129 23547 38299 55611 57387 67969 70641 86339 114897 172161 203907 259017 290413 344691 421289 611721 777051 871239 1263867 1417063 1800053 2613717 3194543 3791601 4251189 5400159 6395933 9583629 12753567 15587693 16200477 19187799 19800583 28750887 46763079 57563397 59401749 66601961 70355263 140289237 178205247 199805883 211065789 236649521 300608851 599417649 633197367 709948563 732621571 901826553 2129845689 2197864713 2603144731 2705479659 3306697361 6593594139 7809434193 9920092083 11122527487 23428302579 29760276249 33367582461 100102747383 122347802357 367043407071 1101130221213