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103322031120 = 243257211266239
BaseRepresentation
bin110000000111001111…
…0010001010000010000
3100212200200122000020100
41200032132101100100
53143100414443440
6115244313412400
710315262526300
oct1401636212020
9325620560210
10103322031120
113a900658270
121803640a100
139987b36829
145002333600
152a4abe0230
hex180e791410

103322031120 has 360 divisors, whose sum is σ = 440337530880. Its totient is φ = 21469432320.

The previous prime is 103322031101. The next prime is 103322031121. The reversal of 103322031120 is 21130223301.

103322031120 is a `hidden beast` number, since 1 + 0 + 332 + 2 + 0 + 311 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-2 number, since 2×1033220311202 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 103322031093 and 103322031102.

It is not an unprimeable number, because it can be changed into a prime (103322031121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 254961 + ... + 521199.

It is an arithmetic number, because the mean of its divisors is an integer number (1223159808).

Almost surely, 2103322031120 is an apocalyptic number.

103322031120 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 103322031120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220168765440).

103322031120 is an abundant number, since it is smaller than the sum of its proper divisors (337015499760).

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

103322031120 is a wasteful number, since it uses less digits than its factorization.

103322031120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266283 (or 266267 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 103322031120 its reverse (21130223301), we get a palindrome (124452254421).

The spelling of 103322031120 in words is "one hundred three billion, three hundred twenty-two million, thirty-one thousand, one hundred twenty".