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1111013121213 = 34531018213121
BaseRepresentation
bin10000001010101101100…
…010101101110010111101
310221012201102012021220000
4100022231202231302331
5121200323324334323
62210220430544513
7143160640466442
oct20125542556275
93835642167800
101111013121213
113991a5a40a66
1215b3a4068139
13809ca648048
143bab7dd19c9
151dd77782e43
hex102ad8adcbd

1111013121213 has 80 divisors (see below), whose sum is σ = 1710346164912. Its totient is φ = 718398720000.

The previous prime is 1111013121173. The next prime is 1111013121217. The reversal of 1111013121213 is 3121213101111.

It can be written as a sum of positive squares in 8 ways, for example, as 9054854649 + 1101958266564 = 95157^2 + 1049742^2 .

It is not a de Polignac number, because 1111013121213 - 218 = 1111012859069 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1111013121217) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 355978293 + ... + 355981413.

Almost surely, 21111013121213 is an apocalyptic number.

It is an amenable number.

1111013121213 is a deficient number, since it is larger than the sum of its proper divisors (599333043699).

1111013121213 is a wasteful number, since it uses less digits than its factorization.

1111013121213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4108 (or 4099 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 18.

Adding to 1111013121213 its reverse (3121213101111), we get a palindrome (4232226222324).

The spelling of 1111013121213 in words is "one trillion, one hundred eleven billion, thirteen million, one hundred twenty-one thousand, two hundred thirteen".

Divisors: 1 3 9 27 53 81 101 159 303 477 821 909 1431 2463 2727 3121 4293 5353 7389 8181 9363 16059 22167 28089 43513 48177 66501 82921 84267 130539 144531 165413 248763 252801 315221 391617 433593 496239 746289 945663 1174851 1488717 2238867 2562341 2836989 3524553 4394813 4466151 6716601 7687023 8510967 13184439 13398453 16706713 23061069 25532901 39553317 50120139 69183207 118659951 135804073 150360417 207549621 258796441 355979853 407412219 451081251 776389323 1222236657 1353243753 2329167969 3666709971 6987503907 11000129913 13716211373 20962511721 41148634119 123445902357 370337707071 1111013121213