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102251242544 = 24114719876221
BaseRepresentation
bin101111100111010100…
…1100010010000110000
3100202221001202022110012
41133032221202100300
53133402304230134
6114550142554052
710246611135563
oct1371651422060
9322831668405
10102251242544
113a401184a30
1217997898928
139847042c19
144d4003a4da
1529d6bc96ce
hex17cea62430

102251242544 has 80 divisors (see below), whose sum is σ = 220866863616. Its totient is φ = 45458745600.

The previous prime is 102251242529. The next prime is 102251242573. The reversal of 102251242544 is 445242152201.

It is a self number, because there is not a number n which added to its sum of digits gives 102251242544.

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 15 ways as a sum of consecutive naturals, for example, 16433354 + ... + 16439574.

Almost surely, 2102251242544 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 102251242544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110433431808).

102251242544 is an abundant number, since it is smaller than the sum of its proper divisors (118615621072).

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

102251242544 is a wasteful number, since it uses less digits than its factorization.

102251242544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8274 (or 8268 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 32.

Adding to 102251242544 its reverse (445242152201), we get a palindrome (547493394745).

The spelling of 102251242544 in words is "one hundred two billion, two hundred fifty-one million, two hundred forty-two thousand, five hundred forty-four".

Divisors: 1 2 4 8 11 16 22 44 47 88 94 176 188 376 517 752 1034 1987 2068 3974 4136 6221 7948 8272 12442 15896 21857 24884 31792 43714 49768 68431 87428 93389 99536 136862 174856 186778 273724 292387 349712 373556 547448 584774 747112 1027279 1094896 1169548 1494224 2054558 2339096 3216257 4109116 4678192 6432514 8218232 12361127 12865028 16436464 24722254 25730056 49444508 51460112 98889016 135972397 197778032 271944794 543889588 580972969 1087779176 1161945938 2175558352 2323891876 4647783752 6390702659 9295567504 12781405318 25562810636 51125621272 102251242544