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100335004011 = 32112408342083
BaseRepresentation
bin101110101110001101…
…1101010100101101011
3100120222112000022100200
41131130123222211223
53120441230112021
6114032051203243
710151252314404
oct1353433524553
9316875008320
10100335004011
1139608548620
1217541ba6523
139600045078
144bdb7469ab
152923860126
hex175c6ea96b

100335004011 has 24 divisors (see below), whose sum is σ = 158113964736. Its totient is φ = 60805123440.

The previous prime is 100335003941. The next prime is 100335004019. The reversal of 100335004011 is 110400533001.

It is not a de Polignac number, because 100335004011 - 210 = 100335002987 is a prime.

It is a super-2 number, since 2×1003350040112 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (100335004019) 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, 2363176 + ... + 2405258.

It is an arithmetic number, because the mean of its divisors is an integer number (6588081864).

Almost surely, 2100335004011 is an apocalyptic number.

100335004011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

100335004011 is a deficient number, since it is larger than the sum of its proper divisors (57778960725).

100335004011 is a wasteful number, since it uses less digits than its factorization.

100335004011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66183 (or 66180 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

Adding to 100335004011 its reverse (110400533001), we get a palindrome (210735537012).

The spelling of 100335004011 in words is "one hundred billion, three hundred thirty-five million, four thousand, eleven".

Divisors: 1 3 9 11 33 99 24083 42083 72249 126249 216747 264913 378747 462913 794739 1388739 2384217 4166217 1013484889 3040454667 9121364001 11148333779 33445001337 100335004011