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3013023310032 = 2431719130762971
BaseRepresentation
bin101011110110000110001…
…011110010000011010000
3101200001010202220222021010
4223312012023302003100
5343331132431410112
610224055214130520
7430453345365021
oct53660613620320
911601122828233
103013023310032
11a618a812231a
12407b3b4b0a40
1318b1859a3808
14a5b8c7acc48
1553597c4c63c
hex2bd862f20d0

3013023310032 has 160 divisors (see below), whose sum is σ = 8311772012544. Its totient is φ = 937235404800.

The previous prime is 3013023310027. The next prime is 3013023310057. The reversal of 3013023310032 is 2300133203103.

It is a junction number, because it is equal to n+sod(n) for n = 3013023309990 and 3013023310008.

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, 47816307 + ... + 47879277.

Almost surely, 23013023310032 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 3013023310032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4155886006272).

3013023310032 is an abundant number, since it is smaller than the sum of its proper divisors (5298748702512).

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

3013023310032 is a wasteful number, since it uses less digits than its factorization.

3013023310032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63497 (or 63491 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 21.

Adding to 3013023310032 its reverse (2300133203103), we get a palindrome (5313156513135).

The spelling of 3013023310032 in words is "three trillion, thirteen billion, twenty-three million, three hundred ten thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 17 24 34 48 51 68 102 136 191 204 272 307 382 408 573 614 764 816 921 1146 1228 1528 1842 2292 2456 3056 3247 3684 4584 4912 5219 6494 7368 9168 9741 10438 12988 14736 15657 19482 20876 25976 31314 38964 41752 51952 58637 62628 62971 77928 83504 117274 125256 125942 155856 175911 188913 234548 250512 251884 351822 377826 469096 503768 703644 755652 938192 996829 1007536 1070507 1407288 1511304 1993658 2141014 2814576 2990487 3022608 3211521 3987316 4282028 5980974 6423042 7974632 8564056 11961948 12027461 12846084 15949264 17128112 19332097 23923896 24054922 25692168 36082383 38664194 47847792 48109844 51384336 57996291 72164766 77328388 96219688 115992582 144329532 154656776 192439376 204466837 231985164 288659064 309313552 328645649 408933674 463970328 577318128 613400511 657291298 817867348 927940656 985936947 1226801022 1314582596 1635734696 1971873894 2453602044 2629165192 3271469392 3692430527 3943747788 4907204088 5258330384 7384861054 7887495576 9814408176 11077291581 14769722108 15774991152 22154583162 29539444216 44309166324 59078888432 62771318959 88618332648 125542637918 177236665296 188313956877 251085275836 376627913754 502170551672 753255827508 1004341103344 1506511655016 3013023310032