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11311245521145 = 3252961891596541
BaseRepresentation
bin1010010010011001101011…
…0001010111000011111001
31111001100022011000100222200
42210212122301113003321
52440310412323134040
640020151531140413
72245132131360633
oct244463261270371
944040264010880
1011311245521145
113671088238739
1213282412a4709
13640851cb218b
142b1678019a53
15149371254630
hexa499ac570f9

11311245521145 has 96 divisors (see below), whose sum is σ = 20846368202400. Its totient is φ = 5664779366400.

The previous prime is 11311245521137. The next prime is 11311245521221. The reversal of 11311245521145 is 54112554211311.

It is a happy number.

11311245521145 is a `hidden beast` number, since 1 + 1 + 3 + 1 + 124 + 5 + 521 + 1 + 4 + 5 = 666.

11311245521145 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 16 ways, for example, as 4139218733049 + 7172026788096 = 2034507^2 + 2678064^2 .

It is not a de Polignac number, because 11311245521145 - 23 = 11311245521137 is a prime.

It is a super-2 number, since 2×113112455211452 (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6286575 + ... + 7883115.

It is an arithmetic number, because the mean of its divisors is an integer number (217149668775).

Almost surely, 211311245521145 is an apocalyptic number.

11311245521145 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

11311245521145 is a deficient number, since it is larger than the sum of its proper divisors (9535122681255).

11311245521145 is a wasteful number, since it uses less digits than its factorization.

11311245521145 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1596731 (or 1596728 counting only the distinct ones).

The product of its digits is 24000, while the sum is 36.

Adding to 11311245521145 its reverse (54112554211311), we get a palindrome (65423799732456).

The spelling of 11311245521145 in words is "eleven trillion, three hundred eleven billion, two hundred forty-five million, five hundred twenty-one thousand, one hundred forty-five".

Divisors: 1 3 5 9 15 29 45 61 87 89 145 183 261 267 305 435 445 549 801 915 1305 1335 1769 2581 2745 4005 5307 5429 7743 8845 12905 15921 16287 23229 26535 27145 38715 48861 79605 81435 116145 157441 244305 472323 787205 1416969 1596541 2361615 4789623 7084845 7982705 14368869 23948115 46299689 71844345 97389001 138899067 142092149 231498445 292167003 416697201 426276447 486945005 694495335 710460745 876501009 1278829341 1460835015 2083486005 2131382235 2824281029 4120672321 4382505045 6394146705 8472843087 8667621089 12362016963 14121405145 20603361605 25418529261 26002863267 37086050889 42364215435 43338105445 61810084815 78008589801 127092646305 130014316335 185430254445 251361011581 390042949005 754083034743 1256805057905 2262249104229 3770415173715 11311245521145