Search a number
-
+
110301031223120 = 2452947543547941
BaseRepresentation
bin11001000101000101110101…
…110010001100111101010000
3112110112200020111220101001002
4121011011311302030331100
5103424133002443114440
61030331332203401132
732142662243634503
oct3105056562147520
9473480214811032
10110301031223120
113216644a646701
12104550b42231a8
13497145b94cb5a
141d34853ddb13a
15cb42b26be115
hex645175c8cf50

110301031223120 has 40 divisors (see below), whose sum is σ = 265292997516360. Its totient is φ = 42599018954240.

The previous prime is 110301031223093. The next prime is 110301031223203. The reversal of 110301031223120 is 21322130103011.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 3548988783376 + 106752042439744 = 1883876^2 + 10332088^2 .

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

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 110301031223092 and 110301031223101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23771771651 + ... + 23771776290.

It is an arithmetic number, because the mean of its divisors is an integer number (6632324937909).

Almost surely, 2110301031223120 is an apocalyptic number.

110301031223120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

110301031223120 is an abundant number, since it is smaller than the sum of its proper divisors (154991966293240).

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

110301031223120 is a wasteful number, since it uses less digits than its factorization.

110301031223120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47543547983 (or 47543547977 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 110301031223120 its reverse (21322130103011), we get a palindrome (131623161326131).

The spelling of 110301031223120 in words is "one hundred ten trillion, three hundred one billion, thirty-one million, two hundred twenty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 29 40 58 80 116 145 232 290 464 580 1160 2320 47543547941 95087095882 190174191764 237717739705 380348383528 475435479410 760696767056 950870958820 1378762890289 1901741917640 2757525780578 3803483835280 5515051561156 6893814451445 11030103122312 13787628902890 22060206244624 27575257805780 55150515611560 110301031223120