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201010010222010 = 2351110154133111409
BaseRepresentation
bin101101101101000101001010…
…010000010110110110111010
3222100201100222020001110010210
4231231011022100112312322
5202321322000104101020
61551302420205451550
760224331303461343
oct5555051220266672
9870640866043123
10201010010222010
11590589594a51a0
121a665105870bb6
1388212163b37c2
14378cd176d10ca
151838ae95323e0
hexb6d14a416dba

201010010222010 has 128 divisors (see below), whose sum is σ = 531506043544320. Its totient is φ = 48245902848000.

The previous prime is 201010010221997. The next prime is 201010010222093. The reversal of 201010010222010 is 10222010010102.

201010010222010 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1804197186 + ... + 1804308594.

It is an arithmetic number, because the mean of its divisors is an integer number (4152390965190).

Almost surely, 2201010010222010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201010010222010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265753021772160).

201010010222010 is an abundant number, since it is smaller than the sum of its proper divisors (330496033322310).

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

201010010222010 is a wasteful number, since it uses less digits than its factorization.

201010010222010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165664.

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

Adding to 201010010222010 its reverse (10222010010102), we get a palindrome (211232020232112).

The spelling of 201010010222010 in words is "two hundred one trillion, ten billion, ten million, two hundred twenty-two thousand, ten".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 101 110 165 202 303 330 505 606 1010 1111 1515 2222 3030 3333 5555 6666 11110 16665 33330 54133 108266 111409 162399 222818 270665 324798 334227 541330 557045 595463 668454 811995 1114090 1190926 1225499 1623990 1671135 1786389 2450998 2977315 3342270 3572778 3676497 5467433 5954630 6127495 7352994 8931945 10934866 11252309 12254990 16402299 17863890 18382485 22504618 27337165 32804598 33756927 36764970 54674330 56261545 60141763 67513854 82011495 112523090 120283526 123775399 164022990 168784635 180425289 247550798 300708815 337569270 360850578 371326197 601417630 618876995 742652394 902126445 1237753990 1804252890 1856630985 3713261970 6030903397 12061806794 18092710191 30154516985 36185420382 60309033970 66339937367 90463550955 132679874734 180927101910 199019812101 331699686835 398039624202 609121243097 663399373670 995099060505 1218242486194 1827363729291 1990198121010 3045606215485 3654727458582 6091212430970 6700333674067 9136818646455 13400667348134 18273637292910 20101001022201 33501668370335 40202002044402 67003336740670 100505005111005 201010010222010