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112352554000 = 245329266797
BaseRepresentation
bin110100010100010111…
…0111110110000010000
3101202000001011002202201
41220220232332300100
53320044223212000
6123340345052544
711055125644321
oct1505056766020
9352001132681
10112352554000
11437150a6815
1219936787154
13a796a12aab
14561b812448
152dc88ea96a
hex1a28bbec10

112352554000 has 120 divisors (see below), whose sum is σ = 281363596488. Its totient is φ = 43390681600.

The previous prime is 112352553941. The next prime is 112352554033. The reversal of 112352554000 is 455253211.

It can be written as a sum of positive squares in 12 ways, for example, as 91571601664 + 20780952336 = 302608^2 + 144156^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 112352554000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1648602 + ... + 1715398.

Almost surely, 2112352554000 is an apocalyptic number.

112352554000 is a gapful number since it is divisible by the number (10) 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 112352554000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140681798244).

112352554000 is an abundant number, since it is smaller than the sum of its proper divisors (169011042488).

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

112352554000 is an equidigital number, since it uses as much as digits as its factorization.

112352554000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66878 (or 66833 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 28.

The spelling of 112352554000 in words is "one hundred twelve billion, three hundred fifty-two million, five hundred fifty-four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 29 40 50 58 80 100 116 125 145 200 232 250 290 400 464 500 580 725 841 1000 1160 1450 1682 2000 2320 2900 3364 3625 4205 5800 6728 7250 8410 11600 13456 14500 16820 21025 29000 33640 42050 58000 66797 67280 84100 105125 133594 168200 210250 267188 333985 336400 420500 534376 667970 841000 1068752 1335940 1669925 1682000 1937113 2671880 3339850 3874226 5343760 6679700 7748452 8349625 9685565 13359400 15496904 16699250 19371130 26718800 30993808 33398500 38742260 48427825 56176277 66797000 77484520 96855650 112352554 133594000 154969040 193711300 224705108 242139125 280881385 387422600 449410216 484278250 561762770 774845200 898820432 968556500 1123525540 1404406925 1937113000 2247051080 2808813850 3874226000 4494102160 5617627700 7022034625 11235255400 14044069250 22470510800 28088138500 56176277000 112352554000