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103303113022120 = 23511253894524829
BaseRepresentation
bin10111011111010000100001…
…010110110001101010101000
3111112202200101120012202000111
4113133100201112301222220
5102020004233413201440
61003412443414144104
730521255304444154
oct2737204126615250
9445680346182014
10103303113022120
112aa08671215800
12b704a03652034
13458459870ba6b
141b71c7c474064
15be223eb3e4ea
hex5df4215b1aa8

103303113022120 has 192 divisors, whose sum is σ = 263228365386000. Its totient is φ = 36441878753280.

The previous prime is 103303113022117. The next prime is 103303113022121. The reversal of 103303113022120 is 21220311303301.

It can be written as a sum of positive squares in 8 ways, for example, as 19961075999524 + 83342037022596 = 4467782^2 + 9129186^2 .

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 103303113022091 and 103303113022100.

It is not an unprimeable number, because it can be changed into a prime (103303113022121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20567866 + ... + 25092694.

Almost surely, 2103303113022120 is an apocalyptic number.

103303113022120 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 103303113022120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131614182693000).

103303113022120 is an abundant number, since it is smaller than the sum of its proper divisors (159925252363880).

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

103303113022120 is a wasteful number, since it uses less digits than its factorization.

103303113022120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4525004 (or 4524989 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 22.

Adding to 103303113022120 its reverse (21220311303301), we get a palindrome (124523424325421).

The spelling of 103303113022120 in words is "one hundred three trillion, three hundred three billion, one hundred thirteen million, twenty-two thousand, one hundred twenty".