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10111000119 = 31119412511567
BaseRepresentation
bin10010110101010100…
…11001111000110111
3222002122122000122220
421122222121320313
5131201404000434
64351145453423
7505363040313
oct113252317067
928078560586
1010111000119
11431943a050
121b621a1273
13c519b2b0c
146bcbb8b43
153e29d6d49
hex25aa99e37

10111000119 has 64 divisors (see below), whose sum is σ = 15931883520. Its totient is φ = 5637600000.

The previous prime is 10111000073. The next prime is 10111000153. The reversal of 10111000119 is 91100011101.

It is not a de Polignac number, because 10111000119 - 28 = 10110999863 is a prime.

It is a super-2 number, since 2×101110001192 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10111000098 and 10111000107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10111000919) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6451674 + ... + 6453240.

It is an arithmetic number, because the mean of its divisors is an integer number (248935680).

Almost surely, 210111000119 is an apocalyptic number.

10111000119 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

10111000119 is a deficient number, since it is larger than the sum of its proper divisors (5820883401).

10111000119 is a wasteful number, since it uses less digits than its factorization.

10111000119 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1892.

The product of its (nonzero) digits is 9, while the sum is 15.

The spelling of 10111000119 in words is "ten billion, one hundred eleven million, one hundred nineteen", and thus it is an aban number.

Divisors: 1 3 11 19 33 41 57 123 209 251 451 627 753 779 1353 1567 2337 2761 4701 4769 8283 8569 10291 14307 17237 25707 29773 30873 51711 52459 64247 89319 113201 157377 192741 195529 327503 339603 393317 586587 706717 982509 1179951 1220693 2120151 2150819 3662079 4326487 6452457 7473023 12979461 13427623 16125997 22419069 40282869 48377991 82203253 177385967 246609759 306393943 532157901 919181829 3370333373 10111000119