Search a number
-
+
103011323292 = 22341013147883
BaseRepresentation
bin101111111101111110…
…1000000110110011100
3100211220000222102020000
41133323331000312130
53141431344321132
6115153414054300
710304500541463
oct1377375006634
9324800872200
10103011323292
113a76122a939
1217b6a34a390
139938659c47
144db2d739da
152a2d7b887c
hex17fbf40d9c

103011323292 has 60 divisors (see below), whose sum is σ = 271958290296. Its totient is φ = 33997125600.

The previous prime is 103011323263. The next prime is 103011323309. The reversal of 103011323292 is 292323110301.

103011323292 is a `hidden beast` number, since 1 + 0 + 301 + 1 + 32 + 329 + 2 = 666.

It is a super-2 number, since 2×1030113232922 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1541218 + ... + 1606665.

Almost surely, 2103011323292 is an apocalyptic number.

103011323292 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

103011323292 is an abundant number, since it is smaller than the sum of its proper divisors (168946967004).

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

103011323292 is a wasteful number, since it uses less digits than its factorization.

103011323292 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3148000 (or 3147989 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

Adding to 103011323292 its reverse (292323110301), we get a palindrome (395334433593).

The spelling of 103011323292 in words is "one hundred three billion, eleven million, three hundred twenty-three thousand, two hundred ninety-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 101 108 162 202 303 324 404 606 909 1212 1818 2727 3636 5454 8181 10908 16362 32724 3147883 6295766 9443649 12591532 18887298 28330947 37774596 56661894 84992841 113323788 169985682 254978523 317936183 339971364 509957046 635872366 953808549 1019914092 1271744732 1907617098 2861425647 3815234196 5722851294 8584276941 11445702588 17168553882 25752830823 34337107764 51505661646 103011323292