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11120039010192 = 2437179532042797
BaseRepresentation
bin1010000111010001010111…
…1110011001111110010000
31110101001202122020012201210
42201310111332121332100
52424142314441311232
635352250404100120
72225252635012140
oct241642576317620
943331678205653
1011120039010192
1135a7a89138a62
1212b717a694640
136287cc719578
142a62d9b54920
151443cecb85cc
hexa1d15f99f90

11120039010192 has 160 divisors (see below), whose sum is σ = 34798295837952. Its totient is φ = 2987123392512.

The previous prime is 11120039010133. The next prime is 11120039010221. The reversal of 11120039010192 is 29101093002111.

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, 4422138 + ... + 6464934.

Almost surely, 211120039010192 is an apocalyptic number.

11120039010192 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 11120039010192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17399147918976).

11120039010192 is an abundant number, since it is smaller than the sum of its proper divisors (23678256827760).

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

11120039010192 is a wasteful number, since it uses less digits than its factorization.

11120039010192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2043785 (or 2043779 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 30.

The spelling of 11120039010192 in words is "eleven trillion, one hundred twenty billion, thirty-nine million, ten thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 17 21 24 28 34 42 48 51 56 68 84 102 112 119 136 168 204 238 272 336 357 408 476 714 816 952 953 1428 1904 1906 2856 2859 3812 5712 5718 6671 7624 11436 13342 15248 16201 20013 22872 26684 32402 40026 45744 48603 53368 64804 80052 97206 106736 113407 129608 160104 194412 226814 259216 320208 340221 388824 453628 680442 777648 907256 1360884 1814512 2042797 2721768 4085594 5443536 6128391 8171188 12256782 14299579 16342376 24513564 28599158 32684752 34727549 42898737 49027128 57198316 69455098 85797474 98054256 104182647 114396632 138910196 171594948 208365294 228793264 243092843 277820392 343189896 416730588 486185686 555640784 686379792 729278529 833461176 972371372 1458557058 1666922352 1944742744 1946785541 2917114116 3889485488 3893571082 5834228232 5840356623 7787142164 11668456464 11680713246 13627498787 15574284328 23361426492 27254997574 31148568656 33095354197 40882496361 46722852984 54509995148 66190708394 81764992722 93445705968 99286062591 109019990296 132381416788 163529985444 198572125182 218039980592 231667479379 264762833576 327059970888 397144250364 463334958758 529525667152 654119941776 695002438137 794288500728 926669917516 1390004876274 1588577001456 1853339835032 2780009752548 3706679670064 5560019505096 11120039010192