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1020233231221 = 29279101152039
BaseRepresentation
bin11101101100010101010…
…00111010101101110101
310121112101210211001211011
432312022220322231311
5113203414201344341
62100404430512221
7133465221244231
oct16661250725565
93545353731734
101020233231221
11363751074a96
1214588a065671
13752910943c9
14375456c15c1
151b812c02b81
hexed8aa3ab75

1020233231221 has 24 divisors (see below), whose sum is σ = 1080603014400. Its totient is φ = 962947876800.

The previous prime is 1020233231197. The next prime is 1020233231257. The reversal of 1020233231221 is 1221323320201.

It is not a de Polignac number, because 1020233231221 - 211 = 1020233229173 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1020233231192 and 1020233231201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1020233231261) 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 23 ways as a sum of consecutive naturals, for example, 6634320 + ... + 6786358.

It is an arithmetic number, because the mean of its divisors is an integer number (45025125600).

Almost surely, 21020233231221 is an apocalyptic number.

It is an amenable number.

1020233231221 is a deficient number, since it is larger than the sum of its proper divisors (60369783179).

1020233231221 is a wasteful number, since it uses less digits than its factorization.

1020233231221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152277 (or 152248 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 1020233231221 its reverse (1221323320201), we get a palindrome (2241556551422).

The spelling of 1020233231221 in words is "one trillion, twenty billion, two hundred thirty-three million, two hundred thirty-one thousand, two hundred twenty-one".

Divisors: 1 29 79 101 841 2291 2929 7979 66439 84941 152039 231391 4409131 6710339 12011081 15355939 127864799 348321349 445322231 1213119181 10101319121 12914344699 35180456249 1020233231221