Search a number
-
+
103201506440 = 23514917315689
BaseRepresentation
bin110000000011101001…
…0100000010010001000
3100212101021211201110022
41200013102200102020
53142324041201230
6115224330240012
710312300221344
oct1400722402210
9325337751408
10103201506440
113a84961829a
1218001b86008
139968b87b56
144dd031c624
152a403341e5
hex18074a0488

103201506440 has 32 divisors (see below), whose sum is σ = 233761815000. Its totient is φ = 41003549184.

The previous prime is 103201506403. The next prime is 103201506493. The reversal of 103201506440 is 44605102301.

It can be written as a sum of positive squares in 4 ways, for example, as 39738827716 + 63462678724 = 199346^2 + 251918^2 .

It is a super-2 number, since 2×1032015064402 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8651885 + ... + 8663804.

Almost surely, 2103201506440 is an apocalyptic number.

103201506440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103201506440 is an abundant number, since it is smaller than the sum of its proper divisors (130560308560).

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

103201506440 is a wasteful number, since it uses less digits than its factorization.

103201506440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17315849 (or 17315845 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

Adding to 103201506440 its reverse (44605102301), we get a palindrome (147806608741).

The spelling of 103201506440 in words is "one hundred three billion, two hundred one million, five hundred six thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 149 298 596 745 1192 1490 2980 5960 17315689 34631378 69262756 86578445 138525512 173156890 346313780 692627560 2580037661 5160075322 10320150644 12900188305 20640301288 25800376610 51600753220 103201506440