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123110134112 = 2577924128867
BaseRepresentation
bin111001010100111101…
…1111001000101100000
3102202202202102210102202
41302221323321011200
54004112143242422
6132320033232332
711615532605540
oct1625173710540
9382682383382
10123110134112
1148235508999
121ba394026a8
13b7bc650004
145d5c41b320
153308051b92
hex1ca9ef9160

123110134112 has 96 divisors (see below), whose sum is σ = 281677777920. Its totient is φ = 51875665920.

The previous prime is 123110134109. The next prime is 123110134123. The reversal of 123110134112 is 211431011321.

It is a super-2 number, since 2×1231101341122 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 4250303 + ... + 4279169.

It is an arithmetic number, because the mean of its divisors is an integer number (2934143520).

Almost surely, 2123110134112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 123110134112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140838888960).

123110134112 is an abundant number, since it is smaller than the sum of its proper divisors (158567643808).

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

123110134112 is a wasteful number, since it uses less digits than its factorization.

123110134112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29204 (or 29196 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 20.

Adding to 123110134112 its reverse (211431011321), we get a palindrome (334541145433).

The spelling of 123110134112 in words is "one hundred twenty-three billion, one hundred ten million, one hundred thirty-four thousand, one hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 32 56 79 112 158 224 241 316 482 553 632 964 1106 1264 1687 1928 2212 2528 3374 3856 4424 6748 7712 8848 13496 17696 19039 26992 28867 38078 53984 57734 76156 115468 133273 152312 202069 230936 266546 304624 404138 461872 533092 609248 808276 923744 1066184 1616552 2132368 2280493 3233104 4264736 4560986 6466208 6956947 9121972 13913894 15963451 18243944 27827788 31926902 36487888 48698629 55655576 63853804 72975776 97397258 111311152 127707608 194794516 222622304 255415216 389589032 510830432 549598813 779178064 1099197626 1558356128 2198395252 3847191691 4396790504 7694383382 8793581008 15388766764 17587162016 30777533528 61555067056 123110134112