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10123120 = 245718077
BaseRepresentation
bin100110100111…
…011101110000
3201001022022101
4212213131300
510042414440
61000550144
7152021320
oct46473560
921038271
1010123120
115794717
123482354
132135917
1414b7280
15d4e69a
hex9a7770

10123120 has 40 divisors (see below), whose sum is σ = 26900064. Its totient is φ = 3470592.

The previous prime is 10123111. The next prime is 10123153. The reversal of 10123120 is 2132101.

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 (10).

It is a junction number, because it is equal to n+sod(n) for n = 10123097 and 10123106.

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 7 ways as a sum of consecutive naturals, for example, 8479 + ... + 9598.

Almost surely, 210123120 is an apocalyptic number.

10123120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10123120 is an abundant number, since it is smaller than the sum of its proper divisors (16776944).

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

10123120 is a wasteful number, since it uses less digits than its factorization.

10123120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18097 (or 18091 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

The square root of 10123120 is about 3181.6850881255. The cubic root of 10123120 is about 216.3240449435.

Adding to 10123120 its reverse (2132101), we get a palindrome (12255221).

The spelling of 10123120 in words is "ten million, one hundred twenty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 560 18077 36154 72308 90385 126539 144616 180770 253078 289232 361540 506156 632695 723080 1012312 1265390 1446160 2024624 2530780 5061560 10123120