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102433024321024 = 292321075335171
BaseRepresentation
bin10111010010100110001100…
…000001110010011000000000
3111102200111112120211002010111
4113102212030001302120000
5101411230313211233044
61001505025353441104
730401353555506535
oct2722461401623000
9442614476732114
10102433024321024
112a702668895551
12b5a4258710194
134520514b2c0b7
141b41adb806d8c
15bc97b8569b34
hex5d298c072600

102433024321024 has 120 divisors (see below), whose sum is σ = 213977378055672. Its totient is φ = 48983758602240.

The previous prime is 102433024321007. The next prime is 102433024321109. The reversal of 102433024321024 is 420123420334201.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 2912410959 + ... + 2912446129.

Almost surely, 2102433024321024 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 102433024321024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106988689027836).

102433024321024 is an abundant number, since it is smaller than the sum of its proper divisors (111544353734648).

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

102433024321024 is an equidigital number, since it uses as much as digits as its factorization.

102433024321024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45988 (or 45949 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 31.

Adding to 102433024321024 its reverse (420123420334201), we get a palindrome (522556444655225).

The spelling of 102433024321024 in words is "one hundred two trillion, four hundred thirty-three billion, twenty-four million, three hundred twenty-one thousand, twenty-four".

Divisors: 1 2 4 8 16 23 32 46 64 92 128 184 256 368 512 529 736 1058 1472 2116 2944 4232 5888 8464 10753 11776 16928 21506 33856 35171 43012 67712 70342 86024 135424 140684 172048 247319 270848 281368 344096 494638 562736 688192 808933 989276 1125472 1376384 1617866 1978552 2250944 2752768 3235732 3957104 4501888 5505536 5688337 6471464 7914208 9003776 11376674 12942928 15828416 18007552 18605459 22753348 25885856 31656832 37210918 45506696 51771712 63313664 74421836 91013392 103543424 126627328 148843672 182026784 207086848 297687344 364053568 378193763 414173696 595374688 728107136 756387526 1190749376 1456214272 1512775052 2381498752 2912428544 3025550104 4762997504 6051100208 8698456549 9525995008 12102200416 17396913098 24204400832 34793826196 48408801664 69587652392 96817603328 139175304784 193635206656 200064500627 278350609568 400129001254 556701219136 800258002508 1113402438272 1600516005016 2226804876544 3201032010032 4453609753088 6402064020064 12804128040128 25608256080256 51216512160512 102433024321024