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1052103261220 = 225117436436457
BaseRepresentation
bin11110100111101100011…
…11011011110000100100
310201120122212220100002121
433103312033123300210
5114214201413324340
62123155104115324
7136004046110464
oct17236617336044
93646585810077
101052103261220
11376215954260
1214baa3305b44
137829c9c891b
1438cca231ba4
151c57aab994a
hexf4f63dbc24

1052103261220 has 48 divisors (see below), whose sum is σ = 2413517275008. Its totient is φ = 382068028160.

The previous prime is 1052103261217. The next prime is 1052103261221. The reversal of 1052103261220 is 221623012501.

It is a super-3 number, since 3×10521032612203 (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (1052103261221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3054769 + ... + 3381688.

It is an arithmetic number, because the mean of its divisors is an integer number (50281609896).

Almost surely, 21052103261220 is an apocalyptic number.

1052103261220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1052103261220 is an abundant number, since it is smaller than the sum of its proper divisors (1361414013788).

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

1052103261220 is a wasteful number, since it uses less digits than its factorization.

1052103261220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6437220 (or 6437218 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 25.

Adding to 1052103261220 its reverse (221623012501), we get a palindrome (1273726273721).

The spelling of 1052103261220 in words is "one trillion, fifty-two billion, one hundred three million, two hundred sixty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 743 1486 2972 3715 7430 8173 14860 16346 32692 40865 81730 163460 6436457 12872914 25745828 32182285 64364570 70801027 128729140 141602054 283204108 354005135 708010270 1416020540 4782287551 9564575102 19129150204 23911437755 47822875510 52605163061 95645751020 105210326122 210420652244 263025815305 526051630610 1052103261220