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3011212404 = 223231107151167
BaseRepresentation
bin1011001101111011…
…0111010001110100
321202212010102212100
42303132313101310
522131332244104
61214444422100
7134422611624
oct26336672164
97685112770
103011212404
1113058294a2
12700547930
1338cb0bbb5
14207cc4884
1512955b139
hexb37b7474

3011212404 has 144 divisors (see below), whose sum is σ = 8030969856. Its totient is φ = 950184000.

The previous prime is 3011212387. The next prime is 3011212409. The reversal of 3011212404 is 4042121103.

3011212404 is a `hidden beast` number, since 301 + 121 + 240 + 4 = 666.

It is a super-3 number, since 3×30112124043 (a number of 29 digits) contains 333 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3011212409) 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 47 ways as a sum of consecutive naturals, for example, 18031129 + ... + 18031295.

It is an arithmetic number, because the mean of its divisors is an integer number (55770624).

Almost surely, 23011212404 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 3011212404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4015484928).

3011212404 is an abundant number, since it is smaller than the sum of its proper divisors (5019757452).

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

3011212404 is a wasteful number, since it uses less digits than its factorization.

3011212404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 466 (or 461 counting only the distinct ones).

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

The square root of 3011212404 is about 54874.5150684724. The cubic root of 3011212404 is about 1444.0441236712.

Adding to 3011212404 its reverse (4042121103), we get a palindrome (7053333507).

The spelling of 3011212404 in words is "three billion, eleven million, two hundred twelve thousand, four hundred four".

Divisors: 1 2 3 4 6 9 12 18 31 36 62 93 107 124 151 167 186 214 279 302 321 334 372 428 453 501 558 604 642 668 906 963 1002 1116 1284 1359 1503 1812 1926 2004 2718 3006 3317 3852 4681 5177 5436 6012 6634 9362 9951 10354 13268 14043 15531 16157 17869 18724 19902 20708 25217 28086 29853 31062 32314 35738 39804 42129 46593 48471 50434 53607 56172 59706 62124 64628 71476 75651 84258 93186 96942 100868 107214 119412 145413 151302 160821 168516 186372 193884 214428 226953 290826 302604 321642 453906 500867 553939 581652 643284 781727 907812 1001734 1107878 1502601 1563454 1661817 2003468 2215756 2345181 2698219 3005202 3126908 3323634 4507803 4690362 4985451 5396438 6010404 6647268 7035543 8094657 9015606 9380724 9970902 10792876 14071086 16189314 18031212 19941804 24283971 28142172 32378628 48567942 83644789 97135884 167289578 250934367 334579156 501868734 752803101 1003737468 1505606202 3011212404