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210010012120020 = 223571972538192073
BaseRepresentation
bin101111110000000011000100…
…001010111111001111010100
31000112120202112211102201001210
4233300003010022333033110
5210011301001100320040
62022353133453021420
762143502606413320
oct5760030412771724
91015522484381053
10210010012120020
1160a0882298a322
121b679420184870
139024b22789378
1439c077874c980
151942c97e86480
hexbf00c42bf3d4

210010012120020 has 96 divisors (see below), whose sum is σ = 675443369196288. Its totient is φ = 47758622026752.

The previous prime is 210010012120009. The next prime is 210010012120039. The reversal of 210010012120020 is 20021210010012.

210010012120020 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 = 210010012119978 and 210010012120005.

It is a congruent number.

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, 1269013297 + ... + 1269178776.

It is an arithmetic number, because the mean of its divisors is an integer number (7035868429128).

Almost surely, 2210010012120020 is an apocalyptic number.

210010012120020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

210010012120020 is an abundant number, since it is smaller than the sum of its proper divisors (465433357076268).

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

210010012120020 is a wasteful number, since it uses less digits than its factorization.

210010012120020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2538192289 (or 2538192287 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 210010012120020 its reverse (20021210010012), we get a palindrome (230031222130032).

The spelling of 210010012120020 in words is "two hundred ten trillion, ten billion, twelve million, one hundred twenty thousand, twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 197 210 394 420 591 788 985 1182 1379 1970 2364 2758 2955 3940 4137 5516 5910 6895 8274 11820 13790 16548 20685 27580 41370 82740 2538192073 5076384146 7614576219 10152768292 12690960365 15229152438 17767344511 25381920730 30458304876 35534689022 38072881095 50763841460 53302033533 71069378044 76145762190 88836722555 106604067066 152291524380 177673445110 213208134132 266510167665 355346890220 500023838381 533020335330 1000047676762 1066040670660 1500071515143 2000095353524 2500119191905 3000143030286 3500166868667 5000238383810 6000286060572 7000333737334 7500357575715 10000476767620 10500500606001 14000667474668 15000715151430 17500834343335 21001001212002 30001430302860 35001668686670 42002002424004 52502503030005 70003337373340 105005006060010 210010012120020