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11130212313 = 3211372412003
BaseRepresentation
bin10100101110110100…
…11000111111011001
31001201200110100221200
422113122120333121
5140243313243223
65040235024413
7542550146403
oct122732307731
931650410850
1011130212313
1147a1795280
1221a759b109
131084bb895c
147782c7b73
15452210a43
hex297698fd9

11130212313 has 72 divisors (see below), whose sum is σ = 18474202656. Its totient is φ = 6399993600.

The previous prime is 11130212287. The next prime is 11130212347. The reversal of 11130212313 is 31321203111.

11130212313 is a `hidden beast` number, since 11 + 130 + 212 + 313 = 666.

It is not a de Polignac number, because 11130212313 - 25 = 11130212281 is a prime.

It is a super-2 number, since 2×111302123132 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (11130212393) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5555770 + ... + 5557772.

It is an arithmetic number, because the mean of its divisors is an integer number (256586148).

Almost surely, 211130212313 is an apocalyptic number.

It is an amenable number.

11130212313 is a deficient number, since it is larger than the sum of its proper divisors (7343990343).

11130212313 is a wasteful number, since it uses less digits than its factorization.

11130212313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2135 (or 2095 counting only the distinct ones).

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

Adding to 11130212313 its reverse (31321203111), we get a palindrome (42451415424).

The spelling of 11130212313 in words is "eleven billion, one hundred thirty million, two hundred twelve thousand, three hundred thirteen".

Divisors: 1 3 9 11 33 37 41 99 111 123 333 369 407 451 1221 1353 1369 1517 2003 3663 4059 4107 4551 6009 12321 13653 15059 16687 18027 22033 45177 50061 56129 66099 74111 82123 135531 150183 168387 198297 222333 246369 505161 617419 666999 739107 815221 903353 1852257 2445663 2710059 2742107 3038551 5556771 7336989 8130177 8226321 9115653 24678963 27346959 30163177 33424061 90489531 100272183 112426387 271468593 300816549 337279161 1011837483 1236690257 3710070771 11130212313