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11000112123 = 37111317435011
BaseRepresentation
bin10100011111010100…
…00110001111111011
31001101121122121001010
422033222012033323
5140012012041443
65015310325003
7536410260510
oct121752061773
931347577033
1011000112123
114735305060
12216bab9763
131063c666b0
14764cdd307
15445ab2733
hex28fa863fb

11000112123 has 128 divisors (see below), whose sum is σ = 21340053504. Its totient is φ = 4848076800.

The previous prime is 11000112107. The next prime is 11000112131. The reversal of 11000112123 is 32121100011.

It is not a de Polignac number, because 11000112123 - 24 = 11000112107 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 11000112099 and 11000112108.

It is not an unprimeable number, because it can be changed into a prime (11000112103) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2192688 + ... + 2197698.

It is an arithmetic number, because the mean of its divisors is an integer number (166719168).

Almost surely, 211000112123 is an apocalyptic number.

11000112123 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

11000112123 is a deficient number, since it is larger than the sum of its proper divisors (10339941381).

11000112123 is a wasteful number, since it uses less digits than its factorization.

11000112123 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5105.

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

Adding to 11000112123 its reverse (32121100011), we get a palindrome (43121212134).

The spelling of 11000112123 in words is "eleven billion, one hundred twelve thousand, one hundred twenty-three".

Divisors: 1 3 7 11 13 17 21 33 39 43 51 77 91 119 129 143 187 221 231 273 301 357 429 473 559 561 663 731 903 1001 1309 1419 1547 1677 2193 2431 3003 3311 3913 3927 4641 5011 5117 6149 7293 8041 9503 9933 11739 15033 15351 17017 18447 24123 28509 35077 43043 51051 55121 56287 65143 66521 85187 104533 105231 129129 165363 168861 195429 199563 215473 255561 313599 385847 456001 596309 646419 716573 731731 937057 1107431 1157541 1368003 1508311 1788927 2149719 2195193 2370203 2801149 2811171 3322293 3663041 4524933 5016011 6559399 7110609 7752017 8403447 10989123 12181741 15048033 16591421 19608043 19678197 23256051 25641287 30812639 36545223 40293451 47619533 49774263 58824129 76923861 85272187 92437917 120880353 142858599 215688473 255816561 282054157 333336731 523814863 647065419 846162471 1000010193 1571444589 3666704041 11000112123