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128823050120 = 23547313218923
BaseRepresentation
bin111011111111001110…
…0111011111110001000
3110022111220021222220112
41313332130323332020
54102312200100440
6135102553013452
712210232600412
oct1677634737610
9408456258815
10128823050120
114a6a7287286
1220b726b4288
13c1c00c0b9b
1463410599b2
15353e87c965
hex1dfe73bf88

128823050120 has 64 divisors (see below), whose sum is σ = 296966027520. Its totient is φ = 50271496704.

The previous prime is 128823050047. The next prime is 128823050123. The reversal of 128823050120 is 21050328821.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (128823050123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 478979 + ... + 697901.

It is an arithmetic number, because the mean of its divisors is an integer number (4640094180).

Almost surely, 2128823050120 is an apocalyptic number.

128823050120 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 128823050120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148483013760).

128823050120 is an abundant number, since it is smaller than the sum of its proper divisors (168142977400).

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

128823050120 is a wasteful number, since it uses less digits than its factorization.

128823050120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219294 (or 219290 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 32.

Adding to 128823050120 its reverse (21050328821), we get a palindrome (149873378941).

The spelling of 128823050120 in words is "one hundred twenty-eight billion, eight hundred twenty-three million, fifty thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 47 94 188 235 313 376 470 626 940 1252 1565 1880 2504 3130 6260 12520 14711 29422 58844 73555 117688 147110 218923 294220 437846 588440 875692 1094615 1751384 2189230 4378460 8756920 10289381 20578762 41157524 51446905 68522899 82315048 102893810 137045798 205787620 274091596 342614495 411575240 548183192 685228990 1370457980 2740915960 3220576253 6441152506 12882305012 16102881265 25764610024 32205762530 64411525060 128823050120