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201001302233000 = 23531949692129003
BaseRepresentation
bin101101101100111101000011…
…001110000000111110101000
3222100200112111100102202220022
4231230331003032000332220
5202321201131332424000
61551254420135220012
760223602435004313
oct5554750316007650
9870615440382808
10201001302233000
11590551a0021165
121a663495517608
138820459294b99
14378c72cdad97a
151838789cd7585
hexb6cf43380fa8

201001302233000 has 128 divisors (see below), whose sum is σ = 495197814384000. Its totient is φ = 76153549939200.

The previous prime is 201001302232999. The next prime is 201001302233009. The reversal of 201001302233000 is 332203100102.

201001302233000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 201001302233000.

It is not an unprimeable number, because it can be changed into a prime (201001302233009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 93346499 + ... + 95475501.

It is an arithmetic number, because the mean of its divisors is an integer number (3868732924875).

Almost surely, 2201001302233000 is an apocalyptic number.

201001302233000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201001302233000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247598907192000).

201001302233000 is an abundant number, since it is smaller than the sum of its proper divisors (294196512151000).

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

201001302233000 is a wasteful number, since it uses less digits than its factorization.

201001302233000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2134012 (or 2133998 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

Adding to 201001302233000 its reverse (332203100102), we get a palindrome (201333505333102).

The spelling of 201001302233000 in words is "two hundred one trillion, one billion, three hundred two million, two hundred thirty-three thousand".

Divisors: 1 2 4 5 8 10 19 20 25 38 40 50 76 95 100 125 152 190 200 250 380 475 500 760 950 1000 1900 2375 3800 4750 4969 9500 9938 19000 19876 24845 39752 49690 94411 99380 124225 188822 198760 248450 377644 472055 496900 621125 755288 944110 993800 1242250 1888220 2129003 2360275 2484500 3776440 4258006 4720550 4969000 8516012 9441100 10645015 11801375 17032024 18882200 21290030 23602750 40451057 42580060 47205500 53225075 80902114 85160120 94411000 106450150 161804228 202255285 212900300 266125375 323608456 404510570 425800600 532250750 809021140 1011276425 1064501500 1618042280 2022552850 2129003000 4045105700 5056382125 8090211400 10112764250 10579015907 20225528500 21158031814 40451057000 42316063628 52895079535 84632127256 105790159070 201001302233 211580318140 264475397675 402002604466 423160636280 528950795350 804005208932 1005006511165 1057901590700 1322376988375 1608010417864 2010013022330 2115803181400 2644753976750 4020026044660 5025032555825 5289507953500 8040052089320 10050065111650 10579015907000 20100130223300 25125162779125 40200260446600 50250325558250 100500651116500 201001302233000