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1031303202201 = 32210175452217
BaseRepresentation
bin11110000000111100111…
…01100000010110011001
310122120222021220212012100
433000132131200112121
5113344102104432301
62105435114434013
7134336440403136
oct17003635402631
93576867825170
101031303202201
11368411854038
12147a59432909
137633664a2ac
1437cb59a758d
151bc5e9b4286
hexf01e760599

1031303202201 has 12 divisors (see below), whose sum is σ = 1489731333012. Its totient is φ = 687502628736.

The previous prime is 1031303202197. The next prime is 1031303202211. The reversal of 1031303202201 is 1022023031301.

1031303202201 is a `hidden beast` number, since 10 + 3 + 130 + 320 + 2 + 201 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 5144332176 + 1026158870025 = 71724^2 + 1012995^2 .

It is not a de Polignac number, because 1031303202201 - 22 = 1031303202197 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1031303202211) 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 11 ways as a sum of consecutive naturals, for example, 2536956 + ... + 2915261.

It is an arithmetic number, because the mean of its divisors is an integer number (124144277751).

Almost surely, 21031303202201 is an apocalyptic number.

It is an amenable number.

1031303202201 is a deficient number, since it is larger than the sum of its proper divisors (458428130811).

1031303202201 is a wasteful number, since it uses less digits than its factorization.

1031303202201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5473240 (or 5473237 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 1031303202201 its reverse (1022023031301), we get a palindrome (2053326233502).

The spelling of 1031303202201 in words is "one trillion, thirty-one billion, three hundred three million, two hundred two thousand, two hundred one".

Divisors: 1 3 9 21017 63051 189153 5452217 16356651 49069953 114589244689 343767734067 1031303202201