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103233130020 = 2233517411571747
BaseRepresentation
bin110000000100100101…
…1001000111000100100
3100212110111100100212000
41200021023020320210
53142410140130040
6115231420125300
710313133061356
oct1401113107044
9325414310760
10103233130020
113a865457589
1218010696830
1399725aab27
144dd45d10d6
152a42ece130
hex18092c8e24

103233130020 has 384 divisors, whose sum is σ = 350775774720. Its totient is φ = 25102172160.

The previous prime is 103233130009. The next prime is 103233130031. The reversal of 103233130020 is 20031332301.

103233130020 is a `hidden beast` number, since 1 + 0 + 32 + 331 + 300 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (103233130009) and next prime (103233130031).

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 = 103233129975 and 103233130002.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 59090787 + ... + 59092533.

It is an arithmetic number, because the mean of its divisors is an integer number (913478580).

Almost surely, 2103233130020 is an apocalyptic number.

103233130020 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 103233130020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175387887360).

103233130020 is an abundant number, since it is smaller than the sum of its proper divisors (247542644700).

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

103233130020 is a wasteful number, since it uses less digits than its factorization.

103233130020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1980 (or 1972 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 103233130020 its reverse (20031332301), we get a palindrome (123264462321).

The spelling of 103233130020 in words is "one hundred three billion, two hundred thirty-three million, one hundred thirty thousand, twenty".