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11120000010993 = 341496761136277
BaseRepresentation
bin1010000111010001001110…
…1001101000101011110001
31110101001122220211211220000
42201310103221220223301
52424142230000322433
635352242452140213
72225251652352636
oct241642351505361
943331586754800
1011120000010993
1135a7a69121315
1212b7169607669
136287c4613413
142a62d48c218d
151443cb663113
hexa1d13a68af1

11120000010993 has 40 divisors (see below), whose sum is σ = 16725439823400. Its totient is φ = 7362436273920.

The previous prime is 11120000010953. The next prime is 11120000011007. The reversal of 11120000010993 is 39901000002111.

It can be written as a sum of positive squares in 4 ways, for example, as 2479292728929 + 8640707282064 = 1574577^2 + 2939508^2 .

It is not a de Polignac number, because 11120000010993 - 29 = 11120000010481 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (11120000010943) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 81530371 + ... + 81666647.

It is an arithmetic number, because the mean of its divisors is an integer number (418135995585).

Almost surely, 211120000010993 is an apocalyptic number.

It is an amenable number.

11120000010993 is a deficient number, since it is larger than the sum of its proper divisors (5605439812407).

11120000010993 is a wasteful number, since it uses less digits than its factorization.

11120000010993 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143199 (or 143190 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 27.

The spelling of 11120000010993 in words is "eleven trillion, one hundred twenty billion, ten thousand, nine hundred ninety-three".

Divisors: 1 3 9 27 81 149 447 1341 4023 6761 12069 20283 60849 136277 182547 408831 547641 1007389 1226493 3022167 3679479 9066501 11038437 20305273 27199503 60915819 81598509 182747457 548242371 921368797 1644727113 2764106391 8292319173 24876957519 74630872557 137283950753 411851852259 1235555556777 3706666670331 11120000010993