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10103222111220 = 22325737263382307
BaseRepresentation
bin1001001100000101011011…
…1101110000101111110100
31022202212011220211210201200
42103001112331300233310
52311012344330024340
633253204533052500
72061635155664130
oct223012675605764
938685156753650
1010103222111220
113245830544a57
1211720a4787130
13583964378b44
1426cdda0923c0
15127c1be97330
hex93056f70bf4

10103222111220 has 288 divisors, whose sum is σ = 35985210363648. Its totient is φ = 2246013536256.

The previous prime is 10103222111201. The next prime is 10103222111231. The reversal of 10103222111220 is 2211122230101.

10103222111220 is a `hidden beast` number, since 1 + 0 + 10 + 322 + 2 + 111 + 220 = 666.

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 = 10103222111193 and 10103222111202.

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 122709307 + ... + 122791613.

It is an arithmetic number, because the mean of its divisors is an integer number (124948647096).

Almost surely, 210103222111220 is an apocalyptic number.

10103222111220 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 10103222111220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17992605181824).

10103222111220 is an abundant number, since it is smaller than the sum of its proper divisors (25881988252428).

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

10103222111220 is a wasteful number, since it uses less digits than its factorization.

10103222111220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84999 (or 84994 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 10103222111220 its reverse (2211122230101), we get a palindrome (12314344341321).

The spelling of 10103222111220 in words is "ten trillion, one hundred three billion, two hundred twenty-two million, one hundred eleven thousand, two hundred twenty".