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2011011214014 = 23211359123722871
BaseRepresentation
bin11101010000111001100…
…110111110101010111110
321010020202211101110221100
4131100321212332222332
5230422022332322024
64135502405313530
7265201506164565
oct35207146765276
97106684343840
102011011214014
11705957448960
122858b77058a6
131178398b701a
146d49503cbdc
153749ea347c9
hex1d4399beabe

2011011214014 has 96 divisors (see below), whose sum is σ = 4770601505280. Its totient is φ = 607182033600.

The previous prime is 2011011214007. The next prime is 2011011214073. The reversal of 2011011214014 is 4104121101102.

It is a super-2 number, since 2×20110112140142 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 87916999 + ... + 87939869.

It is an arithmetic number, because the mean of its divisors is an integer number (49693765680).

Almost surely, 22011011214014 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2011011214014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2385300752640).

2011011214014 is an abundant number, since it is smaller than the sum of its proper divisors (2759590291266).

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

2011011214014 is a wasteful number, since it uses less digits than its factorization.

2011011214014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24486 (or 24483 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 2011011214014 its reverse (4104121101102), we get a palindrome (6115132315116).

The spelling of 2011011214014 in words is "two trillion, eleven billion, eleven million, two hundred fourteen thousand, fourteen".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 359 718 1077 1237 2154 2474 3231 3711 3949 6462 7422 7898 11133 11847 13607 22266 22871 23694 27214 35541 40821 45742 68613 71082 81642 122463 137226 205839 244926 251581 411678 444083 503162 754743 888166 1332249 1509486 2264229 2664498 3996747 4528458 4884913 7993494 8210689 9769826 14654739 16421378 24632067 28291427 29309478 43964217 49264134 56582854 73896201 84874281 87928434 90317579 147792402 169748562 180635158 254622843 270952737 311205697 509245686 541905474 622411394 812858211 933617091 1625716422 1867234182 2800851273 5601702546 10156622293 20313244586 30469866879 60939733758 91409600637 111722845223 182819201274 223445690446 335168535669 670337071338 1005505607007 2011011214014