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103032132120 = 233251012833667
BaseRepresentation
bin101111111110100110…
…0011001001000011000
3100211221111010121120100
41133331030121020120
53142002211211440
6115155440055400
710305142446561
oct1377514311030
9324844117510
10103032132120
113a771a52915
1217b75304560
13993ca64568
144db5a2d168
152a30529230
hex17fd319218

103032132120 has 96 divisors (see below), whose sum is σ = 338169939120. Its totient is φ = 27203193600.

The previous prime is 103032132109. The next prime is 103032132121. The reversal of 103032132120 is 21231230301.

103032132120 is a `hidden beast` number, since 1 + 0 + 3 + 0 + 321 + 321 + 20 = 666.

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 = 103032132093 and 103032132102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103032132121) 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 23 ways as a sum of consecutive naturals, for example, 1380474 + ... + 1453193.

Almost surely, 2103032132120 is an apocalyptic number.

103032132120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103032132120 is an abundant number, since it is smaller than the sum of its proper divisors (235137807000).

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

103032132120 is a wasteful number, since it uses less digits than its factorization.

103032132120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2833785 (or 2833778 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 103032132120 its reverse (21231230301), we get a palindrome (124263362421).

The spelling of 103032132120 in words is "one hundred three billion, thirty-two million, one hundred thirty-two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 101 120 180 202 303 360 404 505 606 808 909 1010 1212 1515 1818 2020 2424 3030 3636 4040 4545 6060 7272 9090 12120 18180 36360 2833667 5667334 8501001 11334668 14168335 17002002 22669336 25503003 28336670 34004004 42505005 51006006 56673340 68008008 85010010 102012012 113346680 127515015 170020020 204024024 255030030 286200367 340040040 510060060 572400734 858601101 1020120120 1144801468 1431001835 1717202202 2289602936 2575803303 2862003670 3434404404 4293005505 5151606606 5724007340 6868808808 8586011010 10303213212 11448014680 12879016515 17172022020 20606426424 25758033030 34344044040 51516066060 103032132120