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100001110111011 = 32293781649126827
BaseRepresentation
bin10110101111001101010010…
…101001010011001100100011
3111010002000100022012000022100
4112233031102221103030203
5101101404233142023021
6552403513100141443
730030561506006424
oct2657152251231443
9433060308160270
10100001110111011
11299552616a7a9a
12b270a75537883
1343a50ab126b75
141a9a11842364b
15b863d1ea1626
hex5af352a53323

100001110111011 has 48 divisors (see below), whose sum is σ = 153468601884000. Its totient is φ = 62627579771904.

The previous prime is 100001110111009. The next prime is 100001110111031. The reversal of 100001110111011 is 110111011100001.

100001110111011 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 100001110111011 - 21 = 100001110111009 is a prime.

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

It is a junction number, because it is equal to n+sod(n) for n = 100001110110984 and 100001110111002.

It is not an unprimeable number, because it can be changed into a prime (100001110111031) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 788420980 + ... + 788547806.

It is an arithmetic number, because the mean of its divisors is an integer number (3197262539250).

Almost surely, 2100001110111011 is an apocalyptic number.

100001110111011 is a deficient number, since it is larger than the sum of its proper divisors (53467491772989).

100001110111011 is a wasteful number, since it uses less digits than its factorization.

100001110111011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208548 (or 208545 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 9.

Adding to 100001110111011 its reverse (110111011100001), we get a palindrome (210112121211012).

It can be divided in two parts, 100001 and 110111011, that multiplied together give a palindrome (11011211211011).

The spelling of 100001110111011 in words is "one hundred trillion, one billion, one hundred ten million, one hundred eleven thousand, eleven".

Divisors: 1 3 9 29 37 87 111 261 333 1073 3219 9657 81649 126827 244947 380481 734841 1141443 2367821 3021013 3677983 4692599 7103463 9063039 11033949 14077797 21310389 27189117 33101847 42233391 87609377 136085371 262828131 408256113 788484393 1224768339 10355297723 31065893169 93197679507 300303633967 383146015751 900910901901 1149438047253 2702732705703 3448314141759 11111234456779 33333703370337 100001110111011