Search a number
-
+
2110003201320 = 233572986617537
BaseRepresentation
bin11110101101000101111…
…111011100010100101000
321110201021202021110201120
4132231011333130110220
5234032241304420240
64253153323215240
7305304563200560
oct36550577342450
97421252243646
102110003201320
11743935888113
122a0b23977520
13123c84612441
14741a6267da0
1539d45508ad0
hex1eb45fdc528

2110003201320 has 128 divisors (see below), whose sum is σ = 7483755283200. Its totient is φ = 465655873536.

The previous prime is 2110003201303. The next prime is 2110003201343. The reversal of 2110003201320 is 231023000112.

It is a super-2 number, since 2×21100032013202 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2110003201320.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 43284409 + ... + 43333128.

It is an arithmetic number, because the mean of its divisors is an integer number (58466838150).

Almost surely, 22110003201320 is an apocalyptic number.

2110003201320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2110003201320 is an abundant number, since it is smaller than the sum of its proper divisors (5373752081880).

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

2110003201320 is a wasteful number, since it uses less digits than its factorization.

2110003201320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86617587 (or 86617583 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 2110003201320 its reverse (231023000112), we get a palindrome (2341026201432).

The spelling of 2110003201320 in words is "two trillion, one hundred ten billion, three million, two hundred one thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 29 30 35 40 42 56 58 60 70 84 87 105 116 120 140 145 168 174 203 210 232 280 290 348 406 420 435 580 609 696 812 840 870 1015 1160 1218 1624 1740 2030 2436 3045 3480 4060 4872 6090 8120 12180 24360 86617537 173235074 259852611 346470148 433087685 519705222 606322759 692940296 866175370 1039410444 1212645518 1299263055 1732350740 1818968277 2078820888 2425291036 2511908573 2598526110 3031613795 3464701480 3637936554 4850582072 5023817146 5197052220 6063227590 7275873108 7535725719 9094841385 10047634292 10394104440 12126455180 12559542865 14551746216 15071451438 17583360011 18189682770 20095268584 24252910360 25119085730 30142902876 35166720022 36379365540 37678628595 50238171460 52750080033 60285805752 70333440044 72758731080 75357257190 87916800055 100476342920 105500160066 140666880088 150714514380 175833600110 211000320132 263750400165 301429028760 351667200220 422000640264 527500800330 703334400440 1055001600660 2110003201320