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1010011211112 = 233531117710863
BaseRepresentation
bin11101011001010010101…
…11000000010101101000
310120120000102021122100210
432230221113000111220
5113022000332223422
62051554233301120
7132654006433311
oct16545127002550
93516012248323
101010011211112
1135a385aa7a92
121438b68647a0
13743223acbb7
1436c55c87608
151b4155db10c
hexeb295c0568

1010011211112 has 64 divisors (see below), whose sum is σ = 2574976884480. Its totient is φ = 330021948672.

The previous prime is 1010011211087. The next prime is 1010011211191. The reversal of 1010011211112 is 2111121100101.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1065393 + ... + 1776255.

It is an arithmetic number, because the mean of its divisors is an integer number (40234013820).

Almost surely, 21010011211112 is an apocalyptic number.

1010011211112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1010011211112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1287488442240).

1010011211112 is an abundant number, since it is smaller than the sum of its proper divisors (1564965673368).

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

1010011211112 is a wasteful number, since it uses less digits than its factorization.

1010011211112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 712042 (or 712038 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 1010011211112 its reverse (2111121100101), we get a palindrome (3121132311213).

The spelling of 1010011211112 in words is "one trillion, ten billion, eleven million, two hundred eleven thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 24 53 106 159 212 318 424 636 1117 1272 2234 3351 4468 6702 8936 13404 26808 59201 118402 177603 236804 355206 473608 710412 710863 1420824 1421726 2132589 2843452 4265178 5686904 8530356 17060712 37675739 75351478 113027217 150702956 226054434 301405912 452108868 794033971 904217736 1588067942 2382101913 3176135884 4764203826 6352271768 9528407652 19056815304 42083800463 84167600926 126251401389 168335201852 252502802778 336670403704 505005605556 1010011211112