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3113103312 = 24321110319081
BaseRepresentation
bin1011100110001110…
…0010111111010000
322000221212000220200
42321203202333100
522333423301222
61232524335200
7140100640644
oct27143427720
98027760820
103113103312
1113582a1660
1272a6a4500
133a7c65287
14217648c24
15133485eac
hexb98e2fd0

3113103312 has 120 divisors (see below), whose sum is σ = 9597177408. Its totient is φ = 934156800.

The previous prime is 3113103311. The next prime is 3113103319. The reversal of 3113103312 is 2133013113.

It is a happy number.

3113103312 is a `hidden beast` number, since 311 + 310 + 33 + 12 = 666.

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 (3113103311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 153612 + ... + 172692.

Almost surely, 23113103312 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 3113103312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4798588704).

3113103312 is an abundant number, since it is smaller than the sum of its proper divisors (6484074096).

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

3113103312 is a wasteful number, since it uses less digits than its factorization.

3113103312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19209 (or 19200 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

The square root of 3113103312 is about 55795.1907604948. The cubic root of 3113103312 is about 1460.1512497338.

Adding to 3113103312 its reverse (2133013113), we get a palindrome (5246116425).

The spelling of 3113103312 in words is "three billion, one hundred thirteen million, one hundred three thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 44 48 66 72 88 99 103 132 144 176 198 206 264 309 396 412 528 618 792 824 927 1133 1236 1584 1648 1854 2266 2472 3399 3708 4532 4944 6798 7416 9064 10197 13596 14832 18128 19081 20394 27192 38162 40788 54384 57243 76324 81576 114486 152648 163152 171729 209891 228972 305296 343458 419782 457944 629673 686916 839564 915888 1259346 1373832 1679128 1889019 1965343 2518692 2747664 3358256 3778038 3930686 5037384 5896029 7556076 7861372 10074768 11792058 15112152 15722744 17688087 21618773 23584116 30224304 31445488 35376174 43237546 47168232 64856319 70752348 86475092 94336464 129712638 141504696 172950184 194568957 259425276 283009392 345900368 389137914 518850552 778275828 1037701104 1556551656 3113103312