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1029318453132 = 2231979131436231
BaseRepresentation
bin11101111101010000010…
…10010010011110001100
310122101211222021011022120
432332220022102132030
5113331021011000012
62104510134412540
7134236320330534
oct16765012223614
93571758234276
101029318453132
11367593483752
121475a4801150
13760ab3b2868
1437b6815c4c4
151bb9561558c
hexefa829278c

1029318453132 has 96 divisors (see below), whose sum is σ = 2579701555200. Its totient is φ = 318482798400.

The previous prime is 1029318453109. The next prime is 1029318453133. The reversal of 1029318453132 is 2313548139201.

1029318453132 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (1029318453133) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2141457 + ... + 2577687.

It is an arithmetic number, because the mean of its divisors is an integer number (26871891200).

Almost surely, 21029318453132 is an apocalyptic number.

1029318453132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1029318453132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1289850777600).

1029318453132 is an abundant number, since it is smaller than the sum of its proper divisors (1550383102068).

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

1029318453132 is a wasteful number, since it uses less digits than its factorization.

1029318453132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 436467 (or 436465 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 42.

The spelling of 1029318453132 in words is "one trillion, twenty-nine billion, three hundred eighteen million, four hundred fifty-three thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 19 38 57 76 79 114 131 158 228 237 262 316 393 474 524 786 948 1501 1572 2489 3002 4503 4978 6004 7467 9006 9956 10349 14934 18012 20698 29868 31047 41396 62094 124188 196631 393262 436231 589893 786524 872462 1179786 1308693 1744924 2359572 2617386 5234772 8288389 16576778 24865167 33153556 34462249 49730334 57146261 68924498 99460668 103386747 114292522 137848996 171438783 206773494 228585044 342877566 413546988 654782731 685755132 1085778959 1309565462 1964348193 2171557918 2619130924 3257336877 3928696386 4343115836 4514554619 6514673754 7857392772 9029109238 13029347508 13543663857 18058218476 27087327714 54174655428 85776537761 171553075522 257329613283 343106151044 514659226566 1029318453132