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2220103133031 = 371747132314389
BaseRepresentation
bin100000010011101000011…
…101010110011101100111
321212020110210201111122010
4200103220131112131213
5242333232400224111
64415522403005303
7316253140160250
oct40235035263547
97766423644563
102220103133031
117865a4382413
122ba330069833
1313147c72aa24
147964c821b27
153cb3b290aa6
hex204e8756767

2220103133031 has 32 divisors (see below), whose sum is σ = 3658228254720. Its totient is φ = 1168600674816.

The previous prime is 2220103133011. The next prime is 2220103133041. The reversal of 2220103133031 is 1303313010222.

2220103133031 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 2220103133031 - 27 = 2220103132903 is a prime.

It is a super-2 number, since 2×22201031330312 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 2220103132989 and 2220103133007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2220103133011) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 66140416 + ... + 66173973.

It is an arithmetic number, because the mean of its divisors is an integer number (114319632960).

Almost surely, 22220103133031 is an apocalyptic number.

2220103133031 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

2220103133031 is a deficient number, since it is larger than the sum of its proper divisors (1438125121689).

2220103133031 is a wasteful number, since it uses less digits than its factorization.

2220103133031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132314463.

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 2220103133031 its reverse (1303313010222), we get a palindrome (3523416143253).

The spelling of 2220103133031 in words is "two trillion, two hundred twenty billion, one hundred three million, one hundred thirty-three thousand, thirty-one".

Divisors: 1 3 7 17 21 47 51 119 141 329 357 799 987 2397 5593 16779 132314389 396943167 926200723 2249344613 2778602169 6218776283 6748033839 15745412291 18656328849 43531433981 47236236873 105719196811 130594301943 317157590433 740034377677 2220103133031