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102130535552 = 2741117116619
BaseRepresentation
bin101111100011101110…
…1000100110010000000
3100202121122121202120212
41133013131010302000
53133130404114202
6114530151453252
710243614141263
oct1370735046200
9322548552525
10102130535552
113a34a02aa91
1217963387228
13982802c276
144d2bdb8cda
1529cb2d4652
hex17c7744c80

102130535552 has 64 divisors (see below), whose sum is σ = 208616234400. Its totient is φ = 49774233600.

The previous prime is 102130535539. The next prime is 102130535557. The reversal of 102130535552 is 255535031201.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (102130535557) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 6137099 + ... + 6153717.

Almost surely, 2102130535552 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 102130535552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104308117200).

102130535552 is an abundant number, since it is smaller than the sum of its proper divisors (106485698848).

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

102130535552 is a wasteful number, since it uses less digits than its factorization.

102130535552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17845 (or 17833 counting only the distinct ones).

The product of its (nonzero) digits is 22500, while the sum is 32.

Adding to 102130535552 its reverse (255535031201), we get a palindrome (357665566753).

The spelling of 102130535552 in words is "one hundred two billion, one hundred thirty million, five hundred thirty-five thousand, five hundred fifty-two".

Divisors: 1 2 4 8 16 32 41 64 82 128 164 328 656 1171 1312 2342 2624 4684 5248 9368 16619 18736 33238 37472 48011 66476 74944 96022 132952 149888 192044 265904 384088 531808 681379 768176 1063616 1362758 1536352 2127232 2725516 3072704 5451032 6145408 10902064 19460849 21804128 38921698 43608256 77843396 87216512 155686792 311373584 622747168 797894809 1245494336 1595789618 2490988672 3191579236 6383158472 12766316944 25532633888 51065267776 102130535552