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3010010002320 = 2435127145168059
BaseRepresentation
bin101011110011010010100…
…100111011001110010000
3101122202100202212002011210
4223303102210323032100
5343304000030033240
610222440212340120
7430315565605236
oct53632244731620
911582322762153
103010010002320
11a605a11a2672
1240743a314640
1318aac560ccb9
14a5984500956
155346d42a780
hex2bcd293b390

3010010002320 has 160 divisors (see below), whose sum is σ = 9411123363840. Its totient is φ = 795788582400.

The previous prime is 3010010002253. The next prime is 3010010002357. The reversal of 3010010002320 is 232000100103.

It is a happy number.

3010010002320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 3010010002296 and 3010010002305.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 44192451 + ... + 44260509.

It is an arithmetic number, because the mean of its divisors is an integer number (58819521024).

Almost surely, 23010010002320 is an apocalyptic number.

3010010002320 is a gapful number since it is divisible by the number (30) 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 3010010002320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4705561681920).

3010010002320 is an abundant number, since it is smaller than the sum of its proper divisors (6401113361520).

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

3010010002320 is a wasteful number, since it uses less digits than its factorization.

3010010002320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69653 (or 69647 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 3010010002320 its reverse (232000100103), we get a palindrome (3242010102423).

The spelling of 3010010002320 in words is "three trillion, ten billion, ten million, two thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 127 240 254 381 508 635 762 1016 1270 1451 1524 1905 2032 2540 2902 3048 3810 4353 5080 5804 6096 7255 7620 8706 10160 11608 14510 15240 17412 21765 23216 29020 30480 34824 43530 58040 68059 69648 87060 116080 136118 174120 184277 204177 272236 340295 348240 368554 408354 544472 552831 680590 737108 816708 921385 1020885 1088944 1105662 1361180 1474216 1633416 1842770 2041770 2211324 2722360 2764155 2948432 3266832 3685540 4083540 4422648 5444720 5528310 7371080 8167080 8643493 8845296 11056620 14742160 16334160 17286986 22113240 25930479 34573972 43217465 44226480 51860958 69147944 86434930 98753609 103721916 129652395 138295888 172869860 197507218 207443832 259304790 296260827 345739720 395014436 414887664 493768045 518609580 592521654 691479440 790028872 987536090 1037219160 1185043308 1481304135 1580057744 1975072180 2074438320 2370086616 2962608270 3950144360 4740173232 5925216540 7900288720 11850433080 12541708343 23700866160 25083416686 37625125029 50166833372 62708541715 75250250058 100333666744 125417083430 150500500116 188125625145 200667333488 250834166860 301001000232 376251250290 501668333720 602002000464 752502500580 1003336667440 1505005001160 3010010002320