Search a number
-
+
103603644140 = 22522925788019
BaseRepresentation
bin110000001111101000…
…0100010011011101100
3100220102022112102200012
41200133100202123230
53144140013103030
6115332253352352
710325252305433
oct1403720423354
9326368472605
10103603644140
113aa356132a7
12180b47986b8
139a01297459
14502b8bc11a
152a657bb095
hex181f4226ec

103603644140 has 48 divisors (see below), whose sum is σ = 219370485600. Its totient is φ = 41099476992.

The previous prime is 103603644077. The next prime is 103603644173. The reversal of 103603644140 is 41446306301.

It is a super-3 number, since 3×1036036441403 (a number of 34 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 103603644097 and 103603644106.

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, 1133051 + ... + 1221069.

It is an arithmetic number, because the mean of its divisors is an integer number (4570218450).

Almost surely, 2103603644140 is an apocalyptic number.

103603644140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103603644140 is an abundant number, since it is smaller than the sum of its proper divisors (115766841460).

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

103603644140 is a wasteful number, since it uses less digits than its factorization.

103603644140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88514 (or 88512 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 32.

The spelling of 103603644140 in words is "one hundred three billion, six hundred three million, six hundred forty-four thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 229 257 458 514 916 1028 1145 1285 2290 2570 4580 5140 58853 88019 117706 176038 235412 294265 352076 440095 588530 880190 1177060 1760380 20156351 22620883 40312702 45241766 80625404 90483532 100781755 113104415 201563510 226208830 403127020 452417660 5180182207 10360364414 20720728828 25900911035 51801822070 103603644140