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11112012020096 = 271317433907199
BaseRepresentation
bin1010000110110011011110…
…0001110111100110000000
31110100022001020000212101022
42201230313201313212000
52424024400034120341
635344442101525012
72224550005510511
oct241546741674600
943308036025338
1011112012020096
1135a463a106549
1212b56ba413768
13627b207164a0
142a5b77a62a08
151440b023ae4b
hexa1b37877980

11112012020096 has 128 divisors (see below), whose sum is σ = 25300755648000. Its totient is φ = 4815784378368.

The previous prime is 11112012019951. The next prime is 11112012020107. The reversal of 11112012020096 is 69002021021111.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×111120120200962 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

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, 11795105 + ... + 12702303.

It is an arithmetic number, because the mean of its divisors is an integer number (197662153500).

Almost surely, 211112012020096 is an apocalyptic number.

11112012020096 is a gapful number since it is divisible by the number (16) 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 11112012020096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12650377824000).

11112012020096 is an abundant number, since it is smaller than the sum of its proper divisors (14188743627904).

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

11112012020096 is a wasteful number, since it uses less digits than its factorization.

11112012020096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 907676 (or 907664 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 26.

The spelling of 11112012020096 in words is "eleven trillion, one hundred twelve billion, twelve million, twenty thousand, ninety-six".

Divisors: 1 2 4 8 13 16 17 26 32 34 52 64 68 104 128 136 208 221 272 416 433 442 544 832 866 884 1088 1664 1732 1768 2176 3464 3536 5629 6928 7072 7361 11258 13856 14144 14722 22516 27712 28288 29444 45032 55424 58888 90064 95693 117776 180128 191386 235552 360256 382772 471104 720512 765544 907199 942208 1531088 1814398 3062176 3628796 6124352 7257592 11793587 12248704 14515184 15422383 23587174 29030368 30844766 47174348 58060736 61689532 94348696 116121472 123379064 188697392 200490979 246758128 377394784 392817167 400981958 493516256 754789568 785634334 801963916 987032512 1509579136 1571268668 1603927832 1974065024 3142537336 3207855664 5106623171 6285074672 6415711328 6677891839 10213246342 12570149344 12831422656 13355783678 20426492684 25140298688 25662845312 26711567356 40852985368 50280597376 53423134712 81705970736 86812593907 106846269424 163411941472 173625187814 213692538848 326823882944 347250375628 427385077696 653647765888 694500751256 854770155392 1389001502512 2778003005024 5556006010048 11112012020096