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10231120 = 2451953127
BaseRepresentation
bin100111000001…
…110101010000
3201020210110101
4213001311100
510104343440
61003142144
7152651224
oct47016520
921223411
1010231120
115858879
123514954
132172b23
141504784
15d7169a
hex9c1d50

10231120 has 80 divisors (see below), whose sum is σ = 25712640. Its totient is φ = 3773952.

The previous prime is 10231097. The next prime is 10231121. The reversal of 10231120 is 2113201.

It is a tau number, because it is divible by the number of its divisors (80).

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 = 10231097 and 10231106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10231121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 80497 + ... + 80623.

It is an arithmetic number, because the mean of its divisors is an integer number (321408).

Almost surely, 210231120 is an apocalyptic number.

10231120 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 10231120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12856320).

10231120 is an abundant number, since it is smaller than the sum of its proper divisors (15481520).

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

10231120 is a wasteful number, since it uses less digits than its factorization.

10231120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212 (or 206 counting only the distinct ones).

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

The square root of 10231120 is about 3198.6121990638. The cubic root of 10231120 is about 217.0906202667.

Adding to 10231120 its reverse (2113201), we get a palindrome (12344321).

The spelling of 10231120 in words is "ten million, two hundred thirty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 19 20 38 40 53 76 80 95 106 127 152 190 212 254 265 304 380 424 508 530 635 760 848 1007 1016 1060 1270 1520 2014 2032 2120 2413 2540 4028 4240 4826 5035 5080 6731 8056 9652 10070 10160 12065 13462 16112 19304 20140 24130 26924 33655 38608 40280 48260 53848 67310 80560 96520 107696 127889 134620 193040 255778 269240 511556 538480 639445 1023112 1278890 2046224 2557780 5115560 10231120