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145600533100 = 225211811163211
BaseRepresentation
bin1000011110011001110…
…1111101001001101100
3111220211011002102212001
42013212131331021230
54341142214024400
6150515444422044
713343055053101
oct2074635751154
9456734072761
10145600533100
11568267835a0
12242753a7924
1310964c74cc9
147093374aa8
153bc274da6a
hex21e677d26c

145600533100 has 72 divisors (see below), whose sum is σ = 345103286976. Its totient is φ = 52880040000.

The previous prime is 145600533079. The next prime is 145600533161. The reversal of 145600533100 is 1335006541.

It is a super-2 number, since 2×1456005331002 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 810495 + ... + 973705.

It is an arithmetic number, because the mean of its divisors is an integer number (4793101208).

Almost surely, 2145600533100 is an apocalyptic number.

145600533100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 145600533100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172551643488).

145600533100 is an abundant number, since it is smaller than the sum of its proper divisors (199502753876).

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

145600533100 is a wasteful number, since it uses less digits than its factorization.

145600533100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164047 (or 164040 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 28.

Adding to 145600533100 its reverse (1335006541), we get a palindrome (146935539641).

The spelling of 145600533100 in words is "one hundred forty-five billion, six hundred million, five hundred thirty-three thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 220 275 550 811 1100 1622 3244 4055 8110 8921 16220 17842 20275 35684 40550 44605 81100 89210 163211 178420 223025 326422 446050 652844 816055 892100 1632110 1795321 3264220 3590642 4080275 7181284 8160550 8976605 16321100 17953210 35906420 44883025 89766050 132364121 179532100 264728242 529456484 661820605 1323641210 1456005331 2647282420 2912010662 3309103025 5824021324 6618206050 7280026655 13236412100 14560053310 29120106620 36400133275 72800266550 145600533100