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101101000011 = 31131253139047
BaseRepresentation
bin101111000101000010…
…1101101010101001011
3100122221220100221022220
41132022011231111023
53124023324000021
6114240053145123
710206243215034
oct1361205552513
9318856327286
10101101000011
1139970973770
121771662b1a3
1396c295063b
144c7137da8b
15296ac1bcc6
hex178a16d54b

101101000011 has 32 divisors (see below), whose sum is σ = 151863607296. Its totient is φ = 59271828000.

The previous prime is 101101000003. The next prime is 101101000127. The reversal of 101101000011 is 110000101101.

It is not a de Polignac number, because 101101000011 - 23 = 101101000003 is a prime.

It is not an unprimeable number, because it can be changed into a prime (101101000001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2569690 + ... + 2608736.

It is an arithmetic number, because the mean of its divisors is an integer number (4745737728).

Almost surely, 2101101000011 is an apocalyptic number.

101101000011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

101101000011 is a deficient number, since it is larger than the sum of its proper divisors (50762607285).

101101000011 is a wasteful number, since it uses less digits than its factorization.

101101000011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41623.

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

Adding to 101101000011 its reverse (110000101101), we get a palindrome (211101101112).

The spelling of 101101000011 in words is "one hundred one billion, one hundred one million, eleven", and thus it is an aban number.

Divisors: 1 3 11 31 33 93 341 1023 2531 7593 27841 39047 78461 83523 117141 235383 429517 863071 1210457 1288551 2589213 3631371 13315027 39945081 98827957 296483871 1087107527 3063666667 3261322581 9191000001 33700333337 101101000011