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11023012233012 = 223131071913457471
BaseRepresentation
bin1010000001100111111010…
…1110100111111100110100
31110000210022200020020102210
42200121332232213330310
52421100112112424022
635235522451333420
72215246343012553
oct240317656477464
943023280206383
1011023012233012
11356a9190441aa
1212a04005b1270
1361c608ba7290
142a1733929d9a
15141b01ad3a0c
hexa067eba7f34

11023012233012 has 96 divisors (see below), whose sum is σ = 28104102641664. Its totient is φ = 3342405398400.

The previous prime is 11023012232977. The next prime is 11023012233019. The reversal of 11023012233012 is 21033221032011.

It is a self number, because there is not a number n which added to its sum of digits gives 11023012233012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11023012233019) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1459437 + ... + 4916907.

It is an arithmetic number, because the mean of its divisors is an integer number (292751069184).

Almost surely, 211023012233012 is an apocalyptic number.

11023012233012 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 11023012233012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14052051320832).

11023012233012 is an abundant number, since it is smaller than the sum of its proper divisors (17081090408652).

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

11023012233012 is a wasteful number, since it uses less digits than its factorization.

11023012233012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3457789 (or 3457787 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 11023012233012 its reverse (21033221032011), we get a palindrome (32056233265023).

The spelling of 11023012233012 in words is "eleven trillion, twenty-three billion, twelve million, two hundred thirty-three thousand, twelve".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 107 156 191 214 321 382 428 573 642 764 1146 1284 1391 2292 2483 2782 4173 4966 5564 7449 8346 9932 14898 16692 20437 29796 40874 61311 81748 122622 245244 265681 531362 797043 1062724 1594086 3188172 3457471 6914942 10372413 13829884 20744826 41489652 44947123 89894246 134841369 179788492 269682738 369949397 539365476 660376961 739898794 1109848191 1320753922 1479797588 1981130883 2219696382 2641507844 3962261766 4439392764 4809342161 7924523532 8584900493 9618684322 14428026483 17169800986 19237368644 25754701479 28856052966 34339601972 51509402958 57712105932 70660334827 103018805916 141320669654 211981004481 282641339308 423962008962 847924017924 918584352751 1837168705502 2755753058253 3674337411004 5511506116506 11023012233012