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1020220212121 = 112231738321089
BaseRepresentation
bin11101101100010011101…
…11010000001110011001
310121112100220022121222021
432312021313100032121
5113203402333241441
62100403243454441
7133465002501535
oct16661167201631
93545326277867
101020220212121
11363744792600
12145885827421
137528b4865b6
1437543a92bc5
151b8119d03d1
hexed89dd0399

1020220212121 has 24 divisors (see below), whose sum is σ = 1170278363520. Its totient is φ = 887054910720.

The previous prime is 1020220212097. The next prime is 1020220212127. The reversal of 1020220212121 is 1212120220201.

It is a happy number.

It is not a de Polignac number, because 1020220212121 - 211 = 1020220210073 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1020220212095 and 1020220212104.

It is not an unprimeable number, because it can be changed into a prime (1020220212127) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 48366345 + ... + 48387433.

It is an arithmetic number, because the mean of its divisors is an integer number (48761598480).

Almost surely, 21020220212121 is an apocalyptic number.

1020220212121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1020220212121 is a deficient number, since it is larger than the sum of its proper divisors (150058151399).

1020220212121 is a wasteful number, since it uses less digits than its factorization.

1020220212121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38517 (or 38506 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 1020220212121 its reverse (1212120220201), we get a palindrome (2232340432322).

The spelling of 1020220212121 in words is "one trillion, twenty billion, two hundred twenty million, two hundred twelve thousand, one hundred twenty-one".

Divisors: 1 11 23 121 253 2783 17383 21089 191213 231979 399809 485047 2103343 2551769 4397899 5335517 48376889 58690687 366590087 4032490957 8431572001 44357400527 92747292011 1020220212121