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10200211001220 = 22351174314477009
BaseRepresentation
bin1001010001101110101111…
…1101000000111110000100
31100010010112020112220120210
42110123223331000332010
52314110013004014340
633405525013355420
72101640510645232
oct224335375007604
940103466486523
1010200211001220
113282981211599
121188a52038b70
1358cb500b4196
1427399b257952
1512a4e6b96180
hex946ebf40f84

10200211001220 has 48 divisors (see below), whose sum is σ = 28563024913920. Its totient is φ = 2719824446976.

The previous prime is 10200211001219. The next prime is 10200211001237. The reversal of 10200211001220 is 2210011200201.

10200211001220 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 = 10200211001196 and 10200211001205.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6533925 + ... + 7943084.

It is an arithmetic number, because the mean of its divisors is an integer number (595063019040).

Almost surely, 210200211001220 is an apocalyptic number.

10200211001220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10200211001220 is an abundant number, since it is smaller than the sum of its proper divisors (18362813912700).

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

10200211001220 is a wasteful number, since it uses less digits than its factorization.

10200211001220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14488764 (or 14488762 counting only the distinct ones).

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

Adding to 10200211001220 its reverse (2210011200201), we get a palindrome (12410222201421).

The spelling of 10200211001220 in words is "ten trillion, two hundred billion, two hundred eleven million, one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 11743 23486 35229 46972 58715 70458 117430 140916 176145 234860 352290 704580 14477009 28954018 43431027 57908036 72385045 86862054 144770090 173724108 217155135 289540180 434310270 868620540 170003516687 340007033374 510010550061 680014066748 850017583435 1020021100122 1700035166870 2040042200244 2550052750305 3400070333740 5100105500610 10200211001220