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10330212211020 = 22335131471540201
BaseRepresentation
bin1001011001010011000010…
…1000010001100101001100
31100120120002020202121202000
42112110300220101211030
52323222233311223040
633545344534432300
72114222201001552
oct226246050214514
940516066677660
1010330212211020
113323022537659
1211aa093202690
1359c19a2c0570
14279db0959bd2
1512daa4b98130
hex96530a1194c

10330212211020 has 96 divisors (see below), whose sum is σ = 34610625551040. Its totient is φ = 2542821465600.

The previous prime is 10330212211019. The next prime is 10330212211087. The reversal of 10330212211020 is 2011221203301.

10330212211020 is a `hidden beast` number, since 1 + 0 + 330 + 212 + 21 + 102 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 10330212210984 and 10330212211002.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 735763081 + ... + 735777120.

It is an arithmetic number, because the mean of its divisors is an integer number (360527349490).

Almost surely, 210330212211020 is an apocalyptic number.

10330212211020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10330212211020 is an abundant number, since it is smaller than the sum of its proper divisors (24280413340020).

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

10330212211020 is a wasteful number, since it uses less digits than its factorization.

10330212211020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1471540232 (or 1471540224 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 10330212211020 its reverse (2011221203301), we get a palindrome (12341433414321).

The spelling of 10330212211020 in words is "ten trillion, three hundred thirty billion, two hundred twelve million, two hundred eleven thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 27 30 36 39 45 52 54 60 65 78 90 108 117 130 135 156 180 195 234 260 270 351 390 468 540 585 702 780 1170 1404 1755 2340 3510 7020 1471540201 2943080402 4414620603 5886160804 7357701005 8829241206 13243861809 14715402010 17658482412 19130022613 22073103015 26487723618 29430804020 38260045226 39731585427 44146206030 52975447236 57390067839 66219309045 76520090452 79463170854 88292412060 95650113065 114780135678 132438618090 158926341708 172170203517 191300226130 198657927135 229560271356 264877236180 286950339195 344340407034 382600452260 397315854270 516510610551 573900678390 688680814068 794631708540 860851017585 1033021221102 1147801356780 1721702035170 2066042442204 2582553052755 3443404070340 5165106105510 10330212211020