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3013281220512 = 253192157553811
BaseRepresentation
bin101011110110010101100…
…011101000011110100000
3101200001210202020011221010
4223312111203220132200
5343332144443024022
610224140550100520
7430462626524433
oct53662543503640
911601722204833
103013281220512
11a61a1a769282
12407bb194a740
1318b1c7255974
14a5bb4b4781a
15535b06e550c
hex2bd958e87a0

3013281220512 has 144 divisors (see below), whose sum is σ = 8401270443552. Its totient is φ = 945499875840.

The previous prime is 3013281220457. The next prime is 3013281220553. The reversal of 3013281220512 is 2150221823103.

3013281220512 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 3013281220512.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5164087 + ... + 5717897.

It is an arithmetic number, because the mean of its divisors is an integer number (58342155858).

Almost surely, 23013281220512 is an apocalyptic number.

3013281220512 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 3013281220512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4200635221776).

3013281220512 is an abundant number, since it is smaller than the sum of its proper divisors (5387989223040).

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

3013281220512 is a wasteful number, since it uses less digits than its factorization.

3013281220512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 554019 (or 553992 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The spelling of 3013281220512 in words is "three trillion, thirteen billion, two hundred eighty-one million, two hundred twenty thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 76 96 114 152 157 228 304 314 361 456 471 608 628 722 912 942 1083 1256 1444 1824 1884 2166 2512 2888 2983 3768 4332 5024 5776 5966 7536 8664 8949 11552 11932 15072 17328 17898 23864 34656 35796 47728 56677 71592 95456 113354 143184 170031 226708 286368 340062 453416 553811 680124 906832 1107622 1360248 1661433 1813664 2215244 2720496 3322866 4430488 5440992 6645732 8860976 10522409 13291464 17721952 21044818 26582928 31567227 42089636 53165856 63134454 84179272 86948327 126268908 168358544 173896654 199925771 252537816 260844981 336717088 347793308 399851542 505075632 521689962 599777313 695586616 799703084 1010151264 1043379924 1199554626 1391173232 1599406168 1652018213 2086759848 2399109252 2782346464 3198812336 3304036426 4173519696 4798218504 4956054639 6397624672 6608072852 8347039392 9596437008 9912109278 13216145704 19192874016 19824218556 26432291408 31388346047 39648437112 52864582816 62776692094 79296874224 94165038141 125553384188 158593748448 188330076282 251106768376 376660152564 502213536752 753320305128 1004427073504 1506640610256 3013281220512