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10103120 = 245472687
BaseRepresentation
bin100110100010…
…100101010000
3201000021212122
4212202211100
510041244440
61000313412
7151606106
oct46424520
921007778
1010103120
115780695
123472868
1321297a1
1414adc76
15d487b5
hex9a2950

10103120 has 40 divisors (see below), whose sum is σ = 23998464. Its totient is φ = 3953792.

The previous prime is 10103099. The next prime is 10103147. The reversal of 10103120 is 2130101.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a junction number, because it is equal to n+sod(n) for n = 10103098 and 10103107.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2417 + ... + 5103.

Almost surely, 210103120 is an apocalyptic number.

10103120 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 10103120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11999232).

10103120 is an abundant number, since it is smaller than the sum of its proper divisors (13895344).

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

10103120 is a wasteful number, since it uses less digits than its factorization.

10103120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2747 (or 2741 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 8.

The square root of 10103120 is about 3178.5405455964. The cubic root of 10103120 is about 216.1814889834.

Adding to 10103120 its reverse (2130101), we get a palindrome (12233221).

The spelling of 10103120 in words is "ten million, one hundred three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 47 80 94 188 235 376 470 752 940 1880 2687 3760 5374 10748 13435 21496 26870 42992 53740 107480 126289 214960 252578 505156 631445 1010312 1262890 2020624 2525780 5051560 10103120