Search a number
-
+
6001010112 = 263181172681
BaseRepresentation
bin1011001011011000…
…00010010111000000
3120111012221220021210
411211230002113000
544242224310422
62431250250120
7301465513206
oct54554022700
916435856253
106001010112
1125aa460799
1211b5886940
13748360776
1440cdd3076
15251c8710c
hex165b025c0

6001010112 has 56 divisors (see below), whose sum is σ = 15965486992. Its totient is φ = 1989273600.

The previous prime is 6001010089. The next prime is 6001010117. The reversal of 6001010112 is 2110101006.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6001010117) 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 7 ways as a sum of consecutive naturals, for example, 51589 + ... + 121092.

It is an arithmetic number, because the mean of its divisors is an integer number (285097982).

Almost surely, 26001010112 is an apocalyptic number.

It is an amenable number.

6001010112 is an abundant number, since it is smaller than the sum of its proper divisors (9964476880).

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

6001010112 is a wasteful number, since it uses less digits than its factorization.

6001010112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172877 (or 172867 counting only the distinct ones).

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

The square root of 6001010112 is about 77466.1868946704. The cubic root of 6001010112 is about 1817.2225590723. Note that the first 3 decimals are identical.

Adding to 6001010112 its reverse (2110101006), we get a palindrome (8111111118).

The spelling of 6001010112 in words is "six billion, one million, ten thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 181 192 362 543 724 1086 1448 2172 2896 4344 5792 8688 11584 17376 34752 172681 345362 518043 690724 1036086 1381448 2072172 2762896 4144344 5525792 8288688 11051584 16577376 31255261 33154752 62510522 93765783 125021044 187531566 250042088 375063132 500084176 750126264 1000168352 1500252528 2000336704 3000505056 6001010112