Search a number
-
+
12114030168 = 23356231497
BaseRepresentation
bin10110100100000110…
…10110111001011000
31011021020200111100000
423102003112321120
5144302142431133
65322021413000
7606124362132
oct132203267130
934236614300
1012114030168
115157066189
122420b6a160
1311b097b3b6
1482cc22052
154ad797413
hex2d20d6e58

12114030168 has 48 divisors (see below), whose sum is σ = 34023979080. Its totient is φ = 4038009408.

The previous prime is 12114030167. The next prime is 12114030169. The reversal of 12114030168 is 86103041121.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (12114030167) and next prime (12114030169).

It is a super-3 number, since 3×121140301683 (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12114030167) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3113805 + ... + 3117692.

Almost surely, 212114030168 is an apocalyptic number.

12114030168 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

12114030168 is an abundant number, since it is smaller than the sum of its proper divisors (21909948912).

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

12114030168 is an equidigital number, since it uses as much as digits as its factorization.

12114030168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6231518 (or 6231502 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

Adding to 12114030168 its reverse (86103041121), we get a palindrome (98217071289).

The spelling of 12114030168 in words is "twelve billion, one hundred fourteen million, thirty thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 243 324 486 648 972 1944 6231497 12462994 18694491 24925988 37388982 49851976 56083473 74777964 112166946 149555928 168250419 224333892 336500838 448667784 504751257 673001676 1009502514 1346003352 1514253771 2019005028 3028507542 4038010056 6057015084 12114030168