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2013027844134 = 2329139101382163
BaseRepresentation
bin11101010010110001110…
…011110100000000100110
321010102222101000220101210
4131102301303310000212
5230440140112003014
64140434444532250
7265302464231646
oct35226163640046
97112871026353
102013027844134
117067a1813a1a
1228617ab51086
13117a9b634998
146d606bc6526
153756bace859
hex1d4b1cf4026

2013027844134 has 64 divisors (see below), whose sum is σ = 4199040518400. Its totient is φ = 642567311232.

The previous prime is 2013027844133. The next prime is 2013027844147. The reversal of 2013027844134 is 4314487203102.

It is a super-2 number, since 2×20130278441342 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2013027844092 and 2013027844101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2013027844133) 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, 24459337 + ... + 24541499.

It is an arithmetic number, because the mean of its divisors is an integer number (65610008100).

Almost surely, 22013027844134 is an apocalyptic number.

2013027844134 is an abundant number, since it is smaller than the sum of its proper divisors (2186012674266).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2013027844134 is a wasteful number, since it uses less digits than its factorization.

2013027844134 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83349.

The product of its (nonzero) digits is 129024, while the sum is 39.

The spelling of 2013027844134 in words is "two trillion, thirteen billion, twenty-seven million, eight hundred forty-four thousand, one hundred thirty-four".

Divisors: 1 2 3 6 29 58 87 139 174 278 417 834 1013 2026 3039 4031 6078 8062 12093 24186 29377 58754 82163 88131 140807 164326 176262 246489 281614 422421 492978 844842 2382727 4083403 4765454 7148181 8166806 11420657 12250209 14296362 22841314 24500418 34261971 68523942 83231119 166462238 249693357 331199053 499386714 662398106 993597159 1987194318 2413702451 4827404902 7241107353 11569125541 14482214706 23138251082 34707376623 69414753246 335504640689 671009281378 1006513922067 2013027844134