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10111130001 = 3271721972819
BaseRepresentation
bin10010110101010101…
…11001100110010001
3222002122212121211100
421122222321212101
5131201422130001
64351152335013
7505364121060
oct113252714621
928078777740
1010111130001
114319518695
121b62244469
13c51a29c7b
146bcc101d7
153e2a10586
hex25aab9991

10111130001 has 72 divisors (see below), whose sum is σ = 17827318080. Its totient is φ = 5408395776.

The previous prime is 10111129999. The next prime is 10111130011. The reversal of 10111130001 is 10003111101.

10111130001 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 10111130001 - 21 = 10111129999 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (10111130011) 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 71 ways as a sum of consecutive naturals, for example, 3585370 + ... + 3588188.

It is an arithmetic number, because the mean of its divisors is an integer number (247601640).

Almost surely, 210111130001 is an apocalyptic number.

It is an amenable number.

10111130001 is a deficient number, since it is larger than the sum of its proper divisors (7716188079).

10111130001 is a wasteful number, since it uses less digits than its factorization.

10111130001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3063 (or 3043 counting only the distinct ones).

The product of its (nonzero) digits is 3, while the sum is 9.

Adding to 10111130001 its reverse (10003111101), we get a palindrome (20114241102).

The spelling of 10111130001 in words is "ten billion, one hundred eleven million, one hundred thirty thousand, one".

Divisors: 1 3 7 9 17 21 51 63 119 153 197 289 357 591 867 1071 1379 1773 2023 2601 2819 3349 4137 6069 8457 10047 12411 18207 19733 23443 25371 30141 47923 56933 59199 70329 143769 170799 177597 210987 335461 398531 431307 512397 555343 814691 1006383 1195593 1666029 2444073 3019149 3586779 3887401 4998087 5702837 7332219 9440831 11662203 17108511 28322493 34986609 51325533 66085817 84967479 160494127 198257451 481482381 594772353 1123458889 1444447143 3370376667 10111130001