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123116605400 = 235231157126481
BaseRepresentation
bin111001010101001010…
…0100100111111011000
3102202210012121120101002
41302222110210333120
54004120322333100
6132320424044132
711615641610345
oct1625224447730
9382705546332
10123116605400
1148239128968
121ba3b603648
13b7c0aa7689
145d5d2237cc
1533088ce2d5
hex1caa524fd8

123116605400 has 96 divisors (see below), whose sum is σ = 297364241280. Its totient is φ = 47354112000.

The previous prime is 123116605379. The next prime is 123116605429. The reversal of 123116605400 is 4506611321.

It is a happy number.

123116605400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 23 ways as a sum of consecutive naturals, for example, 910160 + ... + 1036640.

It is an arithmetic number, because the mean of its divisors is an integer number (3097544180).

Almost surely, 2123116605400 is an apocalyptic number.

123116605400 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 123116605400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148682120640).

123116605400 is an abundant number, since it is smaller than the sum of its proper divisors (174247635880).

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

123116605400 is a wasteful number, since it uses less digits than its factorization.

123116605400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126685 (or 126676 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 29.

The spelling of 123116605400 in words is "one hundred twenty-three billion, one hundred sixteen million, six hundred five thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 31 40 50 62 100 124 155 157 200 248 310 314 620 628 775 785 1240 1256 1550 1570 3100 3140 3925 4867 6200 6280 7850 9734 15700 19468 24335 31400 38936 48670 97340 121675 126481 194680 243350 252962 486700 505924 632405 973400 1011848 1264810 2529620 3162025 3920911 5059240 6324050 7841822 12648100 15683644 19604555 19857517 25296200 31367288 39209110 39715034 78418220 79430068 98022775 99287585 156836440 158860136 196045550 198575170 392091100 397150340 496437925 615583027 784182200 794300680 992875850 1231166054 1985751700 2462332108 3077915135 3971503400 4924664216 6155830270 12311660540 15389575675 24623321080 30779151350 61558302700 123116605400