Search a number
-
+
101312424 = 23332320393
BaseRepresentation
bin1100000100111…
…10011110101000
321001122012112000
412002132132220
5201413444144
614015251000
72340066333
oct602363650
9231565460
10101312424
1152208584
1229b19a60
1317cb2ca5
14d65361a
158d63769
hex609e7a8

101312424 has 64 divisors (see below), whose sum is σ = 293673600. Its totient is φ = 32300928.

The previous prime is 101312423. The next prime is 101312437. The reversal of 101312424 is 424213101.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 101312397 and 101312406.

It is not an unprimeable number, because it can be changed into a prime (101312423) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 5229 + ... + 15164.

It is an arithmetic number, because the mean of its divisors is an integer number (4588650).

Almost surely, 2101312424 is an apocalyptic number.

It is an amenable number.

101312424 is an abundant number, since it is smaller than the sum of its proper divisors (192361176).

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

101312424 is a wasteful number, since it uses less digits than its factorization.

101312424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20431 (or 20421 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 101312424 is about 10065.4072942927. The cubic root of 101312424 is about 466.1806418355.

Adding to 101312424 its reverse (424213101), we get a palindrome (525525525).

The spelling of 101312424 in words is "one hundred one million, three hundred twelve thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 27 36 46 54 69 72 92 108 138 184 207 216 276 414 552 621 828 1242 1656 2484 4968 20393 40786 61179 81572 122358 163144 183537 244716 367074 469039 489432 550611 734148 938078 1101222 1407117 1468296 1876156 2202444 2814234 3752312 4221351 4404888 5628468 8442702 11256936 12664053 16885404 25328106 33770808 50656212 101312424