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11112001020012 = 22319533539259837
BaseRepresentation
bin1010000110110011011011…
…0111111010000001101100
31110100022000110100000002210
42201230312313322001230
52424024334230120022
635344441030050420
72224546513144344
oct241546667720154
943308013300083
1011112001020012
1135a4633982a72
1212b56b67a9a10
13627b1b364669
142a5b763dbd24
151440ae2b6a0c
hexa1b36dfa06c

11112001020012 has 96 divisors (see below), whose sum is σ = 27815553964800. Its totient is φ = 3441858331392.

The previous prime is 11112001020007. The next prime is 11112001020023. The reversal of 11112001020012 is 21002010021111.

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

It is a self number, because there is not a number n which added to its sum of digits gives 11112001020012.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 42635358 + ... + 42895194.

It is an arithmetic number, because the mean of its divisors is an integer number (289745353800).

Almost surely, 211112001020012 is an apocalyptic number.

11112001020012 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 11112001020012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13907776982400).

11112001020012 is an abundant number, since it is smaller than the sum of its proper divisors (16703552944788).

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

11112001020012 is a wasteful number, since it uses less digits than its factorization.

11112001020012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263455 (or 263453 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 11112001020012 its reverse (21002010021111), we get a palindrome (32114011041123).

The spelling of 11112001020012 in words is "eleven trillion, one hundred twelve billion, one million, twenty thousand, twelve".

Divisors: 1 2 3 4 6 12 19 38 53 57 76 106 114 159 212 228 318 636 1007 2014 3021 3539 4028 6042 7078 10617 12084 14156 21234 42468 67241 134482 187567 201723 259837 268964 375134 403446 519674 562701 750268 779511 806892 1039348 1125402 1559022 2250804 3118044 3563773 4936903 7127546 9873806 10691319 13771361 14255092 14810709 19747612 21382638 27542722 29621418 41314083 42765276 55085444 59242836 82628166 165256332 261655859 523311718 784967577 919563143 1046623436 1569935154 1839126286 2758689429 3139870308 3678252572 5517378858 11034757716 17471699717 34943399434 48736846579 52415099151 69886798868 97473693158 104830198302 146210539737 194947386316 209660396604 292421079474 584842158948 926000085001 1852000170002 2778000255003 3704000340004 5556000510006 11112001020012