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1031222440053 = 321312277717917
BaseRepresentation
bin11110000000110011010…
…01011011000001110101
310122120202122221201100200
433000121221123001311
5113343420421040203
62105423111431113
7134334440054031
oct17003151330165
93576678851320
101031222440053
11368380202263
12147a36385499
13763229b1040
1437ca8d831c1
151bc5785e9a3
hexf019a5b075

1031222440053 has 24 divisors (see below), whose sum is σ = 1604256691128. Its totient is φ = 634545850752.

The previous prime is 1031222439991. The next prime is 1031222440139. The reversal of 1031222440053 is 3500442221301.

1031222440053 is a `hidden beast` number, since 1 + 0 + 31 + 2 + 224 + 400 + 5 + 3 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 152535551364 + 878686888689 = 390558^2 + 937383^2 .

It is a de Polignac number, because none of the positive numbers 2k-1031222440053 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1031222439999 and 1031222440026.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1031222440253) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1077451 + ... + 1795367.

It is an arithmetic number, because the mean of its divisors is an integer number (66844028797).

Almost surely, 21031222440053 is an apocalyptic number.

1031222440053 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1031222440053 is a deficient number, since it is larger than the sum of its proper divisors (573034251075).

1031222440053 is a wasteful number, since it uses less digits than its factorization.

1031222440053 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 730213 (or 730210 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 1031222440053 its reverse (3500442221301), we get a palindrome (4531664661354).

The spelling of 1031222440053 in words is "one trillion, thirty-one billion, two hundred twenty-two million, four hundred forty thousand, fifty-three".

Divisors: 1 3 9 13 39 117 12277 36831 110493 159601 478803 717917 1436409 2153751 6461253 9332921 27998763 83996289 8813867009 26441601027 79324803081 114580271117 343740813351 1031222440053