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1221131003103 = 331143283337871
BaseRepresentation
bin10001110001010001000…
…101000110010011011111
311022201221201102021211000
4101301101011012103133
5130001334014044403
62332551351201343
7154136523160044
oct21612105062337
94281851367730
101221131003103
11430973686520
121787b6376253
138b1c93a9a3b
1443162add1cb
1521b6edb37a3
hex11c511464df

1221131003103 has 64 divisors (see below), whose sum is σ = 2026583285760. Its totient is φ = 720311810400.

The previous prime is 1221131003087. The next prime is 1221131003117. The reversal of 1221131003103 is 3013001311221.

1221131003103 is a `hidden beast` number, since 1 + 221 + 131 + 0 + 0 + 310 + 3 = 666.

It is not a de Polignac number, because 1221131003103 - 24 = 1221131003087 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1221131003303) 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 63 ways as a sum of consecutive naturals, for example, 3445258 + ... + 3783128.

It is an arithmetic number, because the mean of its divisors is an integer number (31665363840).

Almost surely, 21221131003103 is an apocalyptic number.

1221131003103 is a deficient number, since it is larger than the sum of its proper divisors (805452282657).

1221131003103 is a wasteful number, since it uses less digits than its factorization.

1221131003103 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 338217 (or 338211 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 1221131003103 its reverse (3013001311221), we get a palindrome (4234132314324).

The spelling of 1221131003103 in words is "one trillion, two hundred twenty-one billion, one hundred thirty-one million, three thousand, one hundred three".

Divisors: 1 3 9 11 27 33 43 99 129 283 297 387 473 849 1161 1419 2547 3113 4257 7641 9339 12169 12771 28017 36507 84051 109521 133859 328563 337871 401577 1013613 1204731 3040839 3614193 3716581 9122517 11149743 14528453 33449229 43585359 95617493 100347687 130756077 159812983 286852479 392268231 479438949 860557437 1051792423 1438316847 2581672311 3155377269 4111552199 4314950541 9466131807 12334656597 28398395421 37003969791 45227074189 111011909373 135681222567 407043667701 1221131003103