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13122300031110 = 23251711937189159
BaseRepresentation
bin1011111011110100011000…
…0010000011000010000110
31201110110221122120211022100
42332331012002003002012
53204443432301443420
643524145034412530
72523024553615014
oct276750602030206
951413848524270
1013122300031110
1141aa1552a7276
12157b233891146
13742573528b2a
143351a0a078b4
1517b51b518190
hexbef46083086

13122300031110 has 96 divisors (see below), whose sum is σ = 36155205852480. Its totient is φ = 3290678913024.

The previous prime is 13122300031037. The next prime is 13122300031117. The reversal of 13122300031110 is 1113000322131.

13122300031110 is a `hidden beast` number, since 1 + 31 + 22 + 300 + 0 + 311 + 1 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13122300031117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1769290 + ... + 5419869.

It is an arithmetic number, because the mean of its divisors is an integer number (376616727630).

Almost surely, 213122300031110 is an apocalyptic number.

13122300031110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13122300031110 is an abundant number, since it is smaller than the sum of its proper divisors (23032905821370).

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

13122300031110 is a wasteful number, since it uses less digits than its factorization.

13122300031110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7190382 (or 7190379 counting only the distinct ones).

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

Adding to 13122300031110 its reverse (1113000322131), we get a palindrome (14235300353241).

The spelling of 13122300031110 in words is "thirteen trillion, one hundred twenty-two billion, three hundred million, thirty-one thousand, one hundred ten".

Divisors: 1 2 3 5 6 9 10 15 17 18 30 34 45 51 85 90 102 153 170 255 306 510 765 1193 1530 2386 3579 5965 7158 10737 11930 17895 20281 21474 35790 40562 53685 60843 101405 107370 121686 182529 202810 304215 365058 608430 912645 1825290 7189159 14378318 21567477 35945795 43134954 64702431 71891590 107837385 122215703 129404862 215674770 244431406 323512155 366647109 611078515 647024310 733294218 1099941327 1222157030 1833235545 2199882654 3666471090 5499706635 8576666687 10999413270 17153333374 25730000061 42883333435 51460000122 77190000183 85766666870 128650000305 145803333679 154380000366 257300000610 291606667358 385950000915 437410001037 729016668395 771900001830 874820002074 1312230003111 1458033336790 2187050005185 2624460006222 4374100010370 6561150015555 13122300031110