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3014131212 = 22321719924749
BaseRepresentation
bin1011001110100111…
…1111111000001100
321210001121201201100
42303221333320030
522133104144322
61215031143100
7134456456361
oct26351777014
97701551640
103014131212
111307442434
12701514a90
133905c15c1
14208444468
15129935dac
hexb3a7fe0c

3014131212 has 72 divisors (see below), whose sum is σ = 8108100000. Its totient is φ = 940819968.

The previous prime is 3014131201. The next prime is 3014131213. The reversal of 3014131212 is 2121314103.

3014131212 is a `hidden beast` number, since 301 + 41 + 312 + 12 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (3014131213) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 109414 + ... + 134162.

It is an arithmetic number, because the mean of its divisors is an integer number (112612500).

Almost surely, 23014131212 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3014131212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4054050000).

3014131212 is an abundant number, since it is smaller than the sum of its proper divisors (5093968788).

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

3014131212 is a wasteful number, since it uses less digits than its factorization.

3014131212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24975 (or 24970 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 3014131212 is about 54901.1039233274. The cubic root of 3014131212 is about 1444.5105500204.

Adding to 3014131212 its reverse (2121314103), we get a palindrome (5135445315).

The spelling of 3014131212 in words is "three billion, fourteen million, one hundred thirty-one thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 199 204 306 398 597 612 796 1194 1791 2388 3383 3582 6766 7164 10149 13532 20298 24749 30447 40596 49498 60894 74247 98996 121788 148494 222741 296988 420733 445482 841466 890964 1262199 1682932 2524398 3786597 4925051 5048796 7573194 9850102 14775153 15146388 19700204 29550306 44325459 59100612 83725867 88650918 167451734 177301836 251177601 334903468 502355202 753532803 1004710404 1507065606 3014131212