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100211243011 = 11210721136683
BaseRepresentation
bin101110101010100001…
…1100011100000000011
3100120122220010121011221
41131111003203200003
53120213034234021
6114011510415511
710145220340225
oct1352503434003
9316586117157
10100211243011
11395546a8100
1217508661597
1395b05022c9
144bc912c415
152917a65241
hex17550e3803

100211243011 has 24 divisors (see below), whose sum is σ = 111708942912. Its totient is φ = 89819545200.

The previous prime is 100211242979. The next prime is 100211243057. The reversal of 100211243011 is 110342112001.

It is not a de Polignac number, because 100211243011 - 25 = 100211242979 is a prime.

It is a super-3 number, since 3×1002112430113 (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100211243081) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2713476 + ... + 2750158.

It is an arithmetic number, because the mean of its divisors is an integer number (4654539288).

Almost surely, 2100211243011 is an apocalyptic number.

100211243011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

100211243011 is a deficient number, since it is larger than the sum of its proper divisors (11497699901).

100211243011 is a wasteful number, since it uses less digits than its factorization.

100211243011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37023 (or 37012 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 100211243011 its reverse (110342112001), we get a palindrome (210553355012).

The spelling of 100211243011 in words is "one hundred billion, two hundred eleven million, two hundred forty-three thousand, eleven".

Divisors: 1 11 107 121 211 1177 2321 12947 22577 25531 36683 248347 403513 2731817 3925081 4438643 7740113 43175891 85141243 474934801 828192091 936553673 9110113001 100211243011