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103531231132 = 2273152349547
BaseRepresentation
bin110000001101011110…
…0010011011110011100
3100220020021021110200221
41200122330103132130
53144012443344012
6115321145331124
710323412642000
oct1403274233634
9326207243627
10103531231132
113a9a875433a
1218094496aa4
1399bc292514
14502202c700
152a5e265507
hex181af1379c

103531231132 has 48 divisors (see below), whose sum is σ = 211431225600. Its totient is φ = 44340499056.

The previous prime is 103531231121. The next prime is 103531231147. The reversal of 103531231132 is 231132135301.

It is a junction number, because it is equal to n+sod(n) for n = 103531231097 and 103531231106.

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 15 ways as a sum of consecutive naturals, for example, 2064783 + ... + 2114329.

It is an arithmetic number, because the mean of its divisors is an integer number (4404817200).

Almost surely, 2103531231132 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 103531231132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105715612800).

103531231132 is an abundant number, since it is smaller than the sum of its proper divisors (107899994468).

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

103531231132 is a wasteful number, since it uses less digits than its factorization.

103531231132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51095 (or 51079 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 25.

Adding to 103531231132 its reverse (231132135301), we get a palindrome (334663366433).

The spelling of 103531231132 in words is "one hundred three billion, five hundred thirty-one million, two hundred thirty-one thousand, one hundred thirty-two".

Divisors: 1 2 4 7 14 28 49 98 196 343 686 1372 1523 3046 6092 10661 21322 42644 49547 74627 99094 149254 198188 298508 346829 522389 693658 1044778 1387316 2089556 2427803 4855606 9711212 16994621 33989242 67978484 75460081 150920162 301840324 528220567 1056441134 2112882268 3697543969 7395087938 14790175876 25882807783 51765615566 103531231132