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3112201312 = 251121674813
BaseRepresentation
bin1011100110000000…
…0110110001100000
322000220011012121021
42321200012301200
522333210420222
61232453135224
7140060163133
oct27140066140
98026135537
103112201312
111357835a00
1272a32a514
133a7a0a84c
1421749221a
15133358ac7
hexb9806c60

3112201312 has 72 divisors (see below), whose sum is σ = 6776533008. Its totient is φ = 1405873920.

The previous prime is 3112201289. The next prime is 3112201331. The reversal of 3112201312 is 2131022113.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 644218 + ... + 649030.

It is an arithmetic number, because the mean of its divisors is an integer number (94118514).

Almost surely, 23112201312 is an apocalyptic number.

3112201312 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3112201312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3388266504).

3112201312 is an abundant number, since it is smaller than the sum of its proper divisors (3664331696).

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

3112201312 is a wasteful number, since it uses less digits than its factorization.

3112201312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5012 (or 4993 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

The square root of 3112201312 is about 55787.1070409642. The cubic root of 3112201312 is about 1460.0102132269.

Adding to 3112201312 its reverse (2131022113), we get a palindrome (5243223425).

The spelling of 3112201312 in words is "three billion, one hundred twelve million, two hundred one thousand, three hundred twelve".

Divisors: 1 2 4 8 11 16 22 32 44 88 121 167 176 242 334 352 484 668 968 1336 1837 1936 2672 3674 3872 4813 5344 7348 9626 14696 19252 20207 29392 38504 40414 52943 58784 77008 80828 105886 154016 161656 211772 323312 423544 582373 646624 803771 847088 1164746 1607542 1694176 2329492 3215084 4658984 6430168 8841481 9317968 12860336 17682962 18635936 25720672 35365924 70731848 97256291 141463696 194512582 282927392 389025164 778050328 1556100656 3112201312