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120310223120 = 24511313308653
BaseRepresentation
bin111000000001100001…
…1000101000100010000
3102111112121220120121122
41300003003011010100
53432343404114440
6131134133341412
711456254010663
oct1600303050420
9374477816548
10120310223120
1147028a9136a
121b397797868
13b464554449
145b7461b6da
1531e23337b5
hex1c030c5110

120310223120 has 40 divisors (see below), whose sum is σ = 282196699416. Its totient is φ = 47698208768.

The previous prime is 120310223101. The next prime is 120310223123. The reversal of 120310223120 is 21322013021.

It can be written as a sum of positive squares in 4 ways, for example, as 17251246336 + 103058976784 = 131344^2 + 321028^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (120310223123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6645287 + ... + 6663366.

Almost surely, 2120310223120 is an apocalyptic number.

120310223120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120310223120 is an abundant number, since it is smaller than the sum of its proper divisors (161886476296).

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

120310223120 is a wasteful number, since it uses less digits than its factorization.

120310223120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13308779 (or 13308773 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 120310223120 its reverse (21322013021), we get a palindrome (141632236141).

The spelling of 120310223120 in words is "one hundred twenty billion, three hundred ten million, two hundred twenty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 113 226 452 565 904 1130 1808 2260 4520 9040 13308653 26617306 53234612 66543265 106469224 133086530 212938448 266173060 532346120 1064692240 1503877789 3007755578 6015511156 7519388945 12031022312 15038777890 24062044624 30077555780 60155111560 120310223120