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1110010100001 = 311371580357527
BaseRepresentation
bin10000001001110001110…
…000011111100100100001
310221010010111211112110020
4100021301300133210201
5121141300041200001
62205533120424053
7143124041113365
oct20116160374441
93833114745406
101110010100001
11398830844310
1215b164178029
138089a8c097a
143ba20ad92a5
151dd196a6736
hex10271c1f921

1110010100001 has 32 divisors (see below), whose sum is σ = 1658330661888. Its totient is φ = 654498613440.

The previous prime is 1110010099981. The next prime is 1110010100027. The reversal of 1110010100001 is 1000010100111.

It is not a de Polignac number, because 1110010100001 - 25 = 1110010099969 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1110010100201) 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 31 ways as a sum of consecutive naturals, for example, 19266700 + ... + 19324226.

It is an arithmetic number, because the mean of its divisors is an integer number (51822833184).

Almost surely, 21110010100001 is an apocalyptic number.

1110010100001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1110010100001 is a deficient number, since it is larger than the sum of its proper divisors (548320561887).

1110010100001 is a wasteful number, since it uses less digits than its factorization.

1110010100001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73381.

The product of its (nonzero) digits is 1, while the sum is 6.

Adding to 1110010100001 its reverse (1000010100111), we get a palindrome (2110020200112).

It can be divided in two parts, 11100 and 10100001, that added together give a palindrome (10111101).

The spelling of 1110010100001 in words is "one trillion, one hundred ten billion, ten million, one hundred thousand, one".

Divisors: 1 3 11 33 37 111 407 1221 15803 47409 57527 172581 173833 521499 584711 632797 1754133 1898391 2128499 6385497 6431821 19295463 23413489 70240467 909099181 2727297543 10000090991 30000272973 33636669697 100910009091 370003366667 1110010100001