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1221017107057 = 111511973731521
BaseRepresentation
bin10001110001001010010…
…010100111101001110001
311022201122210002202210221
4101301022102213221301
5130001120334411212
62332532202053041
7154133641110436
oct21611222475161
94281583082727
101221017107057
11430915363760
121787841aa181
138b1ab90c227
1443151931b8d
1521b64db6807
hex11c4a4a7a71

1221017107057 has 16 divisors (see below), whose sum is σ = 1347646633344. Its totient is φ = 1097066880000.

The previous prime is 1221017107033. The next prime is 1221017107097. The reversal of 1221017107057 is 7507017101221.

It is a cyclic number.

It is not a de Polignac number, because 1221017107057 - 27 = 1221017106929 is a prime.

It is a super-3 number, since 3×12210171070573 (a number of 37 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (1221017107097) 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 15 ways as a sum of consecutive naturals, for example, 1538544 + ... + 2192977.

It is an arithmetic number, because the mean of its divisors is an integer number (84227914584).

Almost surely, 21221017107057 is an apocalyptic number.

It is an amenable number.

1221017107057 is a deficient number, since it is larger than the sum of its proper divisors (126629526287).

1221017107057 is a wasteful number, since it uses less digits than its factorization.

1221017107057 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3731880.

The product of its (nonzero) digits is 6860, while the sum is 34.

The spelling of 1221017107057 in words is "one trillion, two hundred twenty-one billion, seventeen million, one hundred seven thousand, fifty-seven".

Divisors: 1 11 151 197 1661 2167 29747 327217 3731521 41046731 563459671 735109637 6198056381 8086206007 111001555187 1221017107057