Search a number
-
+
103120020 = 22335434441
BaseRepresentation
bin1100010010101…
…11110010010100
321012001001002000
412021113302110
5202344320040
614122115300
72361335313
oct611276224
9235031060
10103120020
1153232663
122a64bb30
1318496983
14d9a427a
1590be130
hex6257c94

103120020 has 96 divisors (see below), whose sum is σ = 328352640. Its totient is φ = 26853120.

The previous prime is 103120007. The next prime is 103120057. The reversal of 103120020 is 20021301.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 103119984 and 103120011.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 21000 + ... + 25440.

It is an arithmetic number, because the mean of its divisors is an integer number (3420340).

Almost surely, 2103120020 is an apocalyptic number.

103120020 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 103120020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164176320).

103120020 is an abundant number, since it is smaller than the sum of its proper divisors (225232620).

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

103120020 is a wasteful number, since it uses less digits than its factorization.

103120020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4502 (or 4494 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 103120020 is about 10154.8028045846. The cubic root of 103120020 is about 468.9368151370.

Adding to 103120020 its reverse (20021301), we get a palindrome (123141321).

The spelling of 103120020 in words is "one hundred three million, one hundred twenty thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 43 45 54 60 86 90 108 129 135 172 180 215 258 270 387 430 516 540 645 774 860 1161 1290 1548 1935 2322 2580 3870 4441 4644 5805 7740 8882 11610 13323 17764 22205 23220 26646 39969 44410 53292 66615 79938 88820 119907 133230 159876 190963 199845 239814 266460 381926 399690 479628 572889 599535 763852 799380 954815 1145778 1199070 1718667 1909630 2291556 2398140 2864445 3437334 3819260 5156001 5728890 6874668 8593335 10312002 11457780 17186670 20624004 25780005 34373340 51560010 103120020