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103531503232 = 273724119067
BaseRepresentation
bin110000001101011110…
…1010101111010000000
3100220020021210021221201
41200122331111322000
53144013031100412
6115321155230544
710323415154203
oct1403275257200
9326207707851
10103531503232
113a9a891a813
12180945a8454
1399bc359321
14502209d93a
152a5e2bae57
hex181af55e80

103531503232 has 64 divisors (see below), whose sum is σ = 211939835040. Its totient is φ = 50340234240.

The previous prime is 103531503223. The next prime is 103531503233. The reversal of 103531503232 is 232305135301.

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

It is a super-2 number, since 2×1035315032322 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 103531503232.

It is not an unprimeable number, because it can be changed into a prime (103531503233) 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, 11413963 + ... + 11423029.

Almost surely, 2103531503232 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 103531503232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105969917520).

103531503232 is an abundant number, since it is smaller than the sum of its proper divisors (108408331808).

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

103531503232 is an equidigital number, since it uses as much as digits as its factorization.

103531503232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11529 (or 11517 counting only the distinct ones).

The product of its (nonzero) digits is 8100, while the sum is 28.

Adding to 103531503232 its reverse (232305135301), we get a palindrome (335836638533).

The spelling of 103531503232 in words is "one hundred three billion, five hundred thirty-one million, five hundred three thousand, two hundred thirty-two".

Divisors: 1 2 4 8 16 32 37 64 74 128 148 296 592 1184 2368 2411 4736 4822 9067 9644 18134 19288 36268 38576 72536 77152 89207 145072 154304 178414 290144 308608 335479 356828 580288 670958 713656 1160576 1341916 1427312 2683832 2854624 5367664 5709248 10735328 11418496 21470656 21860537 42941312 43721074 87442148 174884296 349768592 699537184 808839869 1399074368 1617679738 2798148736 3235359476 6470718952 12941437904 25882875808 51765751616 103531503232