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103212211032 = 23327204786133
BaseRepresentation
bin110000000011111101…
…1010101101101011000
3100212102000222120101200
41200013323111231120
53142334311223112
6115225351514200
710312460214150
oct1400773255530
9325360876350
10103212211032
113a854669867
1218005688960
13996b165328
144dd1907760
152a4124acdc
hex1807ed5b58

103212211032 has 48 divisors (see below), whose sum is σ = 319466369040. Its totient is φ = 29489203008.

The previous prime is 103212211019. The next prime is 103212211033. The reversal of 103212211032 is 230112212301.

It is a super-2 number, since 2×1032122110322 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 103212210996 and 103212211014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103212211033) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 102392563 + ... + 102393570.

It is an arithmetic number, because the mean of its divisors is an integer number (6655549355).

Almost surely, 2103212211032 is an apocalyptic number.

103212211032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

103212211032 is an abundant number, since it is smaller than the sum of its proper divisors (216254158008).

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

103212211032 is a wasteful number, since it uses less digits than its factorization.

103212211032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204786152 (or 204786145 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 103212211032 its reverse (230112212301), we get a palindrome (333324423333).

The spelling of 103212211032 in words is "one hundred three billion, two hundred twelve million, two hundred eleven thousand, thirty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 504 204786133 409572266 614358399 819144532 1228716798 1433502931 1638289064 1843075197 2457433596 2867005862 3686150394 4300508793 4914867192 5734011724 7372300788 8601017586 11468023448 12901526379 14744601576 17202035172 25803052758 34404070344 51606105516 103212211032