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11126350105 = 513292375501
BaseRepresentation
bin10100101110010111…
…01010000100011001
31001201102012010222221
422113023222010121
5140241321200410
65040020144041
7542502262333
oct122713520431
931642163887
1011126350105
11479a597572
1221a6238021
131084165a20
147779a0453
15451beb4da
hex2972ea119

11126350105 has 48 divisors (see below), whose sum is σ = 15296836464. Its totient is φ = 7717248000.

The previous prime is 11126350097. The next prime is 11126350127. The reversal of 11126350105 is 50105362111.

It is a happy number.

It can be written as a sum of positive squares in 24 ways, for example, as 2322468864 + 8803881241 = 48192^2 + 93829^2 .

It is not a de Polignac number, because 11126350105 - 23 = 11126350097 is a prime.

It is a super-2 number, since 2×111263501052 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 11126350105.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2019855 + ... + 2025355.

It is an arithmetic number, because the mean of its divisors is an integer number (318684093).

Almost surely, 211126350105 is an apocalyptic number.

It is an amenable number.

11126350105 is a deficient number, since it is larger than the sum of its proper divisors (4170486359).

11126350105 is a wasteful number, since it uses less digits than its factorization.

11126350105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5614 (or 5585 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 25.

The spelling of 11126350105 in words is "eleven billion, one hundred twenty-six million, three hundred fifty thousand, one hundred five".

Divisors: 1 5 13 29 37 65 145 185 377 481 841 1073 1885 2405 4205 5365 5501 10933 13949 27505 31117 54665 69745 71513 155585 159529 203537 357565 404521 797645 1017685 2022605 2073877 2645981 4626341 5902573 10369385 13229905 23131705 29512865 60142433 76733449 171174617 300712165 383667245 855873085 2225270021 11126350105