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102301554453344 = 2529751883916607
BaseRepresentation
bin10111010000101011101111…
…110100000010101101100000
3111102012221012020001211002222
4113100223233310002231200
5101402102040420001334
61001324404010130212
730356020613203631
oct2720535764025540
9442187166054088
10102301554453344
112a661933547044
12b582887720968
134510cc258559c
141b395c903d888
15bc617165ed2e
hex5d0aefd02b60

102301554453344 has 96 divisors (see below), whose sum is σ = 208664825241600. Its totient is φ = 49312646208000.

The previous prime is 102301554453341. The next prime is 102301554453361. The reversal of 102301554453344 is 443354455103201.

It is a junction number, because it is equal to n+sod(n) for n = 102301554453295 and 102301554453304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102301554453341) 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 15 ways as a sum of consecutive naturals, for example, 6160138289 + ... + 6160154895.

It is an arithmetic number, because the mean of its divisors is an integer number (2173591929600).

Almost surely, 2102301554453344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102301554453344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104332412620800).

102301554453344 is an abundant number, since it is smaller than the sum of its proper divisors (106363270788256).

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

102301554453344 is a wasteful number, since it uses less digits than its factorization.

102301554453344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26236 (or 26228 counting only the distinct ones).

The product of its (nonzero) digits is 1728000, while the sum is 44.

The spelling of 102301554453344 in words is "one hundred two trillion, three hundred one billion, five hundred fifty-four million, four hundred fifty-three thousand, three hundred forty-four".

Divisors: 1 2 4 8 16 29 32 58 116 232 464 751 928 1502 3004 6008 8839 12016 16607 17678 21779 24032 33214 35356 43558 66428 70712 87116 132856 141424 174232 256331 265712 282848 348464 481603 512662 531424 696928 963206 1025324 1926412 2050648 3852824 4101296 6638089 7705648 8202592 12471857 13276178 15411296 24943714 26552356 49887428 53104712 99774856 106209424 146789273 192504581 199549712 212418848 293578546 361683853 385009162 399099424 587157092 723367706 770018324 1174314184 1446735412 1540036648 2348628368 2893470824 3080073296 4256888917 4697256736 5786941648 6160146592 8513777834 11573883296 17027555668 34055111336 68110222672 110238744023 136220445344 220477488046 440954976092 881909952184 1763819904368 3196923576667 3527639808736 6393847153334 12787694306668 25575388613336 51150777226672 102301554453344