Search a number
-
+
100231120 = 24511113899
BaseRepresentation
bin1011111100101…
…10011111010000
320222121021020201
411332112133100
5201124343440
613540144544
72324644003
oct576263720
9228537221
10100231120
115163a140
1229698154
13179c4a72
14d45153a
158bed19a
hex5f967d0

100231120 has 40 divisors (see below), whose sum is σ = 254224800. Its totient is φ = 36447360.

The previous prime is 100231097. The next prime is 100231121. The reversal of 100231120 is 21132001.

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 = 100231097 and 100231106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100231121) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 56070 + ... + 57829.

It is an arithmetic number, because the mean of its divisors is an integer number (6355620).

Almost surely, 2100231120 is an apocalyptic number.

100231120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100231120 is an abundant number, since it is smaller than the sum of its proper divisors (153993680).

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

100231120 is a wasteful number, since it uses less digits than its factorization.

100231120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113923 (or 113917 counting only the distinct ones).

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

The square root of 100231120 is about 10011.5493306481. The cubic root of 100231120 is about 464.5161962324.

Adding to 100231120 its reverse (21132001), we get a palindrome (121363121).

The spelling of 100231120 in words is "one hundred million, two hundred thirty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 220 440 880 113899 227798 455596 569495 911192 1138990 1252889 1822384 2277980 2505778 4555960 5011556 6264445 9111920 10023112 12528890 20046224 25057780 50115560 100231120