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1111100010001 = 231073467130223
BaseRepresentation
bin10000001010110010101…
…110001010111000010001
310221012221110200200220021
4100022302232022320101
5121201013100310001
62210233213143441
7143163044153512
oct20126256127021
93835843620807
101111100010001
1139923aa97883
1215b40918ab81
1380a1264ab27
143bac576ca09
151dd801e7ba1
hex102b2b8ae11

1111100010001 has 16 divisors (see below), whose sum is σ = 1170590828544. Its totient is φ = 1052546922064.

The previous prime is 1111100009977. The next prime is 1111100010011. The reversal of 1111100010001 is 1000100011111.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 1111100010001 - 29 = 1111100009489 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1111100010011) 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 15 ways as a sum of consecutive naturals, for example, 8467176 + ... + 8597398.

It is an arithmetic number, because the mean of its divisors is an integer number (73161926784).

Almost surely, 21111100010001 is an apocalyptic number.

It is an amenable number.

1111100010001 is a deficient number, since it is larger than the sum of its proper divisors (59490818543).

1111100010001 is a wasteful number, since it uses less digits than its factorization.

1111100010001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133820.

The product of its (nonzero) digits is 1, while the sum is 7.

Adding to 1111100010001 its reverse (1000100011111), we get a palindrome (2111200021112).

It can be divided in two parts, 1111 and 100010001, that multiplied together give a palindrome (111111111111).

The spelling of 1111100010001 in words is "one trillion, one hundred eleven billion, one hundred million, ten thousand, one".

Divisors: 1 23 107 2461 3467 79741 130223 370969 2995129 8532287 13933861 320478803 451483141 10384112243 48308696087 1111100010001