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13410452312 = 23172343179557
BaseRepresentation
bin11000111110101001…
…10100001101011000
31021121121010120011222
430133110310031120
5204431033433222
610054412311212
7653215651415
oct143724641530
937547116158
1013410452312
11576193a344
122723172508
1313594329aa
1491309110c
155374cc542
hex31f534358

13410452312 has 128 divisors (see below), whose sum is σ = 28637452800. Its totient is φ = 5852571648.

The previous prime is 13410452311. The next prime is 13410452333. The reversal of 13410452312 is 21325401431.

It is a happy number.

13410452312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×134104523123 (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13410452311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24075938 + ... + 24076494.

It is an arithmetic number, because the mean of its divisors is an integer number (223730100).

Almost surely, 213410452312 is an apocalyptic number.

It is an amenable number.

13410452312 is an abundant number, since it is smaller than the sum of its proper divisors (15227000488).

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

13410452312 is a wasteful number, since it uses less digits than its factorization.

13410452312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 825 (or 821 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

Adding to 13410452312 its reverse (21325401431), we get a palindrome (34735853743).

The spelling of 13410452312 in words is "thirteen billion, four hundred ten million, four hundred fifty-two thousand, three hundred twelve".

Divisors: 1 2 4 8 17 23 34 43 46 68 86 92 136 172 179 184 344 358 391 557 716 731 782 989 1114 1432 1462 1564 1978 2228 2924 3043 3128 3956 4117 4456 5848 6086 7697 7912 8234 9469 12172 12811 15394 16468 16813 18938 23951 24344 25622 30788 32936 33626 37876 47902 51244 61576 67252 69989 75752 95804 99703 102488 130849 134504 139978 177031 191608 199406 217787 261698 279956 354062 398812 407167 435574 523396 550873 559912 708124 797624 814334 871148 1046792 1101746 1416248 1628668 1694951 1742296 2203492 2293169 3009527 3257336 3389902 4287229 4406984 4586338 6019054 6779804 8574458 9172676 9364841 12038108 13559608 17148916 18345352 18729682 24076216 34297832 37459364 38983873 72882893 74918728 77967746 98606267 145765786 155935492 197212534 291531572 311870984 394425068 583063144 788850136 1676306539 3352613078 6705226156 13410452312