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103263120044 = 22741432091871
BaseRepresentation
bin110000000101011110…
…1100010101010101100
3100212112120210000102122
41200022331202222230
53142440324320134
6115234411012112
710313646016010
oct1401275425254
9325476700378
10103263120044
113a880380527
121801a73a038
13997887b3c6
144dd859a540
152a4595502e
hex180af62aac

103263120044 has 48 divisors (see below), whose sum is σ = 216483649536. Its totient is φ = 42172099200.

The previous prime is 103263120041. The next prime is 103263120071. The reversal of 103263120044 is 440021362301.

103263120044 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1032631200442 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 103263119995 and 103263120022.

It is not an unprimeable number, because it can be changed into a prime (103263120041) 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 15 ways as a sum of consecutive naturals, for example, 996572 + ... + 1095299.

It is an arithmetic number, because the mean of its divisors is an integer number (4510076032).

Almost surely, 2103263120044 is an apocalyptic number.

103263120044 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

103263120044 is an abundant number, since it is smaller than the sum of its proper divisors (113220529492).

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

103263120044 is a wasteful number, since it uses less digits than its factorization.

103263120044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2091966 (or 2091964 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 26.

Adding to 103263120044 its reverse (440021362301), we get a palindrome (543284482345).

The spelling of 103263120044 in words is "one hundred three billion, two hundred sixty-three million, one hundred twenty thousand, forty-four".

Divisors: 1 2 4 7 14 28 41 43 82 86 164 172 287 301 574 602 1148 1204 1763 3526 7052 12341 24682 49364 2091871 4183742 8367484 14643097 29286194 58572388 85766711 89950453 171533422 179900906 343066844 359801812 600366977 629653171 1200733954 1259306342 2401467908 2518612684 3687968573 7375937146 14751874292 25815780011 51631560022 103263120044