Search a number
-
+
120404031 = 31131373181
BaseRepresentation
bin1110010110100…
…11100000111111
322101120011021120
413023103200333
5221310412111
615540402023
72661263106
oct713234077
9271504246
10120404031
1161a68370
12343a6313
131bc38ab7
1411dc303d
15a885406
hex72d383f

120404031 has 32 divisors (see below), whose sum is σ = 185726976. Its totient is φ = 68688000.

The previous prime is 120404023. The next prime is 120404059. The reversal of 120404031 is 130404021.

It is not a de Polignac number, because 120404031 - 23 = 120404023 is a prime.

It is a super-4 number, since 4×1204040314 (a number of 33 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 120404031.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120404731) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 36261 + ... + 39441.

It is an arithmetic number, because the mean of its divisors is an integer number (5803968).

Almost surely, 2120404031 is an apocalyptic number.

120404031 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

120404031 is a deficient number, since it is larger than the sum of its proper divisors (65322945).

120404031 is a wasteful number, since it uses less digits than its factorization.

120404031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3263.

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 120404031 is about 10972.8770611905. The cubic root of 120404031 is about 493.7953648219.

Adding to 120404031 its reverse (130404021), we get a palindrome (250808052).

The spelling of 120404031 in words is "one hundred twenty million, four hundred four thousand, thirty-one".

Divisors: 1 3 11 31 33 37 93 111 341 407 1023 1147 1221 3181 3441 9543 12617 34991 37851 98611 104973 117697 295833 353091 1084721 1294667 3254163 3648607 3884001 10945821 40134677 120404031