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3013320312 = 233317839887
BaseRepresentation
bin1011001110011011…
…1001111001111000
321210000002112101000
42303212321321320
522132402222222
61215001525000
7134446541262
oct26346717170
97700075330
103013320312
111306a39172
127011a3760
13390399492
142082b2b32
151298259ac
hexb39b9e78

3013320312 has 128 divisors (see below), whose sum is σ = 8970393600. Its totient is φ = 933871104.

The previous prime is 3013320307. The next prime is 3013320347. The reversal of 3013320312 is 2130233103.

3013320312 is a `hidden beast` number, since 30 + 1 + 3 + 320 + 312 = 666.

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

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 299833 + ... + 309719.

It is an arithmetic number, because the mean of its divisors is an integer number (70081200).

Almost surely, 23013320312 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 3013320312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4485196800).

3013320312 is an abundant number, since it is smaller than the sum of its proper divisors (5957073288).

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

3013320312 is a wasteful number, since it uses less digits than its factorization.

3013320312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10002 (or 9992 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

The square root of 3013320312 is about 54893.7183291495. The cubic root of 3013320312 is about 1444.3809981880.

Adding to 3013320312 its reverse (2130233103), we get a palindrome (5143553415).

The spelling of 3013320312 in words is "three billion, thirteen million, three hundred twenty thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 27 34 36 51 54 68 72 83 102 108 136 153 166 204 216 249 306 332 408 459 498 612 664 747 918 996 1224 1411 1494 1836 1992 2241 2822 2988 3672 4233 4482 5644 5976 8466 8964 9887 11288 12699 16932 17928 19774 25398 29661 33864 38097 39548 50796 59322 76194 79096 88983 101592 118644 152388 168079 177966 237288 266949 304776 336158 355932 504237 533898 672316 711864 820621 1008474 1067796 1344632 1512711 1641242 2016948 2135592 2461863 3025422 3282484 4033896 4538133 4923726 6050844 6564968 7385589 9076266 9847452 12101688 13950557 14771178 18152532 19694904 22156767 27901114 29542356 36305064 41851671 44313534 55802228 59084712 83703342 88627068 111604456 125555013 167406684 177254136 251110026 334813368 376665039 502220052 753330078 1004440104 1506660156 3013320312