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112123553652 = 22321117125913229
BaseRepresentation
bin110100001101100010…
…1011010011101110100
3101201102002020200100100
41220123011122131310
53314112112204102
6123301524514100
711046345323655
oct1503305323564
9351362220310
10112123553652
1143607906430
1219891b4b930
13a75b443826
1455d924152c
152db3763a1c
hex1a1b15a774

112123553652 has 144 divisors (see below), whose sum is σ = 327661588800. Its totient is φ = 31950382080.

The previous prime is 112123553621. The next prime is 112123553681. The reversal of 112123553652 is 256355321211.

112123553652 is a `hidden beast` number, since 1 + 1 + 21 + 23 + 553 + 65 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 47 ways as a sum of consecutive naturals, for example, 8468974 + ... + 8482202.

It is an arithmetic number, because the mean of its divisors is an integer number (2275427700).

Almost surely, 2112123553652 is an apocalyptic number.

112123553652 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 112123553652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163830794400).

112123553652 is an abundant number, since it is smaller than the sum of its proper divisors (215538035148).

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

112123553652 is a wasteful number, since it uses less digits than its factorization.

112123553652 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14526 (or 14521 counting only the distinct ones).

The product of its digits is 54000, while the sum is 36.

Adding to 112123553652 its reverse (256355321211), we get a palindrome (368478874863).

The spelling of 112123553652 in words is "one hundred twelve billion, one hundred twenty-three million, five hundred fifty-three thousand, six hundred fifty-two".

Divisors: 1 2 3 4 6 9 11 12 17 18 22 33 34 36 44 51 66 68 99 102 132 153 187 198 204 306 374 396 561 612 748 1122 1259 1683 2244 2518 3366 3777 5036 6732 7554 11331 13229 13849 15108 21403 22662 26458 27698 39687 41547 42806 45324 52916 55396 64209 79374 83094 85612 119061 124641 128418 145519 158748 166188 192627 224893 235433 238122 249282 256836 291038 385254 436557 449786 470866 476244 498564 582076 674679 706299 770508 873114 899572 941732 1309671 1349358 1412598 1746228 2024037 2118897 2473823 2619342 2698716 2825196 4048074 4237794 4947646 5238684 7421469 8096148 8475588 9895292 14842938 16655311 22264407 29685876 33310622 44528814 49965933 66621244 89057628 99931866 149897799 183208421 199863732 283140287 299795598 366416842 549625263 566280574 599591196 732833684 849420861 1099250526 1132561148 1648875789 1698841722 2198501052 2548262583 3114543157 3297751578 3397683444 5096525166 6229086314 6595503156 9343629471 10193050332 12458172628 18687258942 28030888413 37374517884 56061776826 112123553652