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102203445456 = 24327808112547
BaseRepresentation
bin101111100101111001…
…1001101000011010000
3100202210201210222011200
41133023303031003100
53133303040223311
6114541314311200
710245460644510
oct1371363150320
9322721728150
10102203445456
113a3871a9302
1217983888500
13983a179418
144d37957840
1529d28d7556
hex17cbccd0d0

102203445456 has 120 divisors (see below), whose sum is σ = 326955305664. Its totient is φ = 29195043840.

The previous prime is 102203445427. The next prime is 102203445469. The reversal of 102203445456 is 654544302201.

102203445456 is a `hidden beast` number, since 1 + 0 + 2 + 203 + 445 + 4 + 5 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 102203445456.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 8139375 + ... + 8151921.

Almost surely, 2102203445456 is an apocalyptic number.

102203445456 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

102203445456 is an abundant number, since it is smaller than the sum of its proper divisors (224751860208).

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

102203445456 is a wasteful number, since it uses less digits than its factorization.

102203445456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20649 (or 20640 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

Adding to 102203445456 its reverse (654544302201), we get a palindrome (756747747657).

The spelling of 102203445456 in words is "one hundred two billion, two hundred three million, four hundred forty-five thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 144 168 252 336 504 1008 8081 12547 16162 24243 25094 32324 37641 48486 50188 56567 64648 72729 75282 87829 96972 100376 112923 113134 129296 145458 150564 169701 175658 193944 200752 225846 226268 263487 290916 301128 339402 351316 387888 451692 452536 509103 526974 581832 602256 678804 702632 790461 903384 905072 1018206 1053948 1163664 1357608 1405264 1580922 1806768 2036412 2107896 2715216 3161844 4072824 4215792 6323688 8145648 12647376 101392307 202784614 304176921 405569228 608353842 709746149 811138456 912530763 1216707684 1419492298 1622276912 1825061526 2129238447 2433415368 2838984596 3650123052 4258476894 4866830736 5677969192 6387715341 7300246104 8516953788 11355938384 12775430682 14600492208 17033907576 25550861364 34067815152 51101722728 102203445456