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11331132111007 = 29371031375771297
BaseRepresentation
bin1010010011100011110000…
…0110101011100010011111
31111010020122002010210202221
42210320330012223202133
52441122124310023012
640033241125530211
72246435005531012
oct244707406534237
944106562123687
1011331132111007
113679562746a75
121330071273967
136426a102c507
142b260321d379
15149b3706c507
hexa4e3c1ab89f

11331132111007 has 64 divisors (see below), whose sum is σ = 12274952152320. Its totient is φ = 10438235652096.

The previous prime is 11331132110981. The next prime is 11331132111011. The reversal of 11331132111007 is 70011123113311.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-11331132111007 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11331132111067) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8736415783 + ... + 8736417079.

It is an arithmetic number, because the mean of its divisors is an integer number (191796127380).

Almost surely, 211331132111007 is an apocalyptic number.

11331132111007 is a deficient number, since it is larger than the sum of its proper divisors (943820041313).

11331132111007 is a wasteful number, since it uses less digits than its factorization.

11331132111007 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2180.

The product of its (nonzero) digits is 378, while the sum is 25.

Adding to 11331132111007 its reverse (70011123113311), we get a palindrome (81342255224318).

The spelling of 11331132111007 in words is "eleven trillion, three hundred thirty-one billion, one hundred thirty-two million, one hundred eleven thousand, seven".

Divisors: 1 29 37 103 137 577 1073 1297 2987 3811 3973 5069 14111 16733 21349 37613 47989 59431 79049 110519 133591 147001 177689 409219 522107 619121 748369 1391681 1723499 2198947 2292421 2924813 3874139 4942867 5152981 6574493 8142047 15141103 18301967 21702701 27689653 63769463 77082007 84819577 102526553 143343143 190660297 236119363 301255739 530757043 677172779 802999937 2235378203 2852034259 2973270037 3793482461 8736416431 10560234959 19638010591 82708993511 110010991369 306246813811 390728693483 11331132111007