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101200110011 = 711133598219
BaseRepresentation
bin101111000111111111…
…1110010000110111011
3100200012210212020200122
41132033333302012323
53124224212010021
6114253553323455
710211555512340
oct1361777620673
9320183766618
10101200110011
1139a11907560
121774386658b
13970a342000
144c805bc7c7
152974797bab
hex178fff21bb

101200110011 has 32 divisors (see below), whose sum is σ = 136681305600. Its totient is φ = 72791166240.

The previous prime is 101200110007. The next prime is 101200110019. The reversal of 101200110011 is 110011002101.

It is a happy number.

It is not a de Polignac number, because 101200110011 - 22 = 101200110007 is a prime.

101200110011 is a modest number, since divided by 110011 gives 1012 as remainder.

It is not an unprimeable number, because it can be changed into a prime (101200110019) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 129941 + ... + 468278.

It is an arithmetic number, because the mean of its divisors is an integer number (4271290800).

Almost surely, 2101200110011 is an apocalyptic number.

101200110011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

101200110011 is a deficient number, since it is larger than the sum of its proper divisors (35481195589).

101200110011 is an equidigital number, since it uses as much as digits as its factorization.

101200110011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 598276 (or 598250 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 101200110011 its reverse (110011002101), we get a palindrome (211211112112).

It can be divided in two parts, 10 and 1200110011, that added together give a palindrome (1200110021).

The spelling of 101200110011 in words is "one hundred one billion, two hundred million, one hundred ten thousand, eleven".

Divisors: 1 7 11 13 77 91 143 169 1001 1183 1859 2197 13013 15379 24167 169169 598219 4187533 6580409 7776847 46062863 54437929 85545317 101099011 598817219 707693077 1112089121 1314287143 7784623847 9200010001 14457158573 101200110011