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1221131003118 = 2313531721171637
BaseRepresentation
bin10001110001010001000…
…101000110010011101110
311022201221201102021211120
4101301101011012103232
5130001334014044433
62332551351201410
7154136523160065
oct21612105062356
94281851367746
101221131003118
11430973686534
121787b6376266
138b1c93a9a50
1443162add1dc
1521b6edb37b3
hex11c511464ee

1221131003118 has 64 divisors (see below), whose sum is σ = 2681326089792. Its totient is φ = 368426972160.

The previous prime is 1221131003117. The next prime is 1221131003129. The reversal of 1221131003118 is 8113001311221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1221131003117) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7028796 + ... + 7200432.

It is an arithmetic number, because the mean of its divisors is an integer number (41895720153).

Almost surely, 21221131003118 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1221131003118, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1340663044896).

1221131003118 is an abundant number, since it is smaller than the sum of its proper divisors (1460195086674).

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

1221131003118 is a wasteful number, since it uses less digits than its factorization.

1221131003118 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173429.

The product of its (nonzero) digits is 288, while the sum is 24.

Adding to 1221131003118 its reverse (8113001311221), we get a palindrome (9334132314339).

The spelling of 1221131003118 in words is "one trillion, two hundred twenty-one billion, one hundred thirty-one million, three thousand, one hundred eighteen".

Divisors: 1 2 3 6 13 26 39 53 78 106 159 318 689 1378 1721 2067 3442 4134 5163 10326 22373 44746 67119 91213 134238 171637 182426 273639 343274 514911 547278 1029822 1185769 2231281 2371538 3557307 4462562 6693843 7114614 9096761 13387686 18193522 27290283 54580566 118257893 236515786 295387277 354773679 590774554 709547358 886161831 1772323662 3840034601 7680069202 11520103803 15655525681 23040207606 31311051362 46966577043 93933154086 203521833853 407043667706 610565501559 1221131003118