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1020111311322 = 2321671231275677
BaseRepresentation
bin11101101100000110101…
…11110101000111011010
310121112002022101220011100
432312003113311013122
5113203141443430242
62100344353412230
7133462211035515
oct16660327650732
93545068356140
101020111311322
11363699271844
1214585526a076
1375271a4765c
1437533425d7c
151b80716d54c
hexed835f51da

1020111311322 has 48 divisors (see below), whose sum is σ = 2225290459392. Its totient is φ = 337725154080.

The previous prime is 1020111311321. The next prime is 1020111311333. The reversal of 1020111311322 is 2231131110201.

1020111311322 is a `hidden beast` number, since 1 + 0 + 20 + 1 + 11 + 311 + 322 = 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 = 1020111311295 and 1020111311304.

It is not an unprimeable number, because it can be changed into a prime (1020111311321) 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, 3562548 + ... + 3838224.

It is an arithmetic number, because the mean of its divisors is an integer number (46360217904).

Almost surely, 21020111311322 is an apocalyptic number.

1020111311322 is an abundant number, since it is smaller than the sum of its proper divisors (1205179148070).

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

1020111311322 is a wasteful number, since it uses less digits than its factorization.

1020111311322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 277083 (or 277080 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 1020111311322 its reverse (2231131110201), we get a palindrome (3251242421523).

The spelling of 1020111311322 in words is "one trillion, twenty billion, one hundred eleven million, three hundred eleven thousand, three hundred twenty-two".

Divisors: 1 2 3 6 9 18 167 334 501 1002 1231 1503 2462 3006 3693 7386 11079 22158 205577 275677 411154 551354 616731 827031 1233462 1654062 1850193 2481093 3700386 4962186 46038059 92076118 138114177 276228354 339358387 414342531 678716774 828685062 1018075161 2036150322 3054225483 6108450966 56672850629 113345701258 170018551887 340037103774 510055655661 1020111311322