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201002222110100 = 22525956360511853
BaseRepresentation
bin101101101100111101111010…
…000011000100010110010100
3222100200121212110100101001112
4231230331322003010112110
5202321210022330010400
61551255051315314152
760223634304560615
oct5554757203042624
9870617773311045
10201002222110100
115905562229a474
121a6636b15ab958
138820574a2aa68
14378c7b9221c0c
1518387e093d835
hexb6cf7a0c4594

201002222110100 has 72 divisors (see below), whose sum is σ = 444355487241120. Its totient is φ = 78897773111680.

The previous prime is 201002222110099. The next prime is 201002222110139. The reversal of 201002222110100 is 1011222200102.

201002222110100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26934227 + ... + 33577626.

It is an arithmetic number, because the mean of its divisors is an integer number (6171603989460).

Almost surely, 2201002222110100 is an apocalyptic number.

201002222110100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201002222110100 is an abundant number, since it is smaller than the sum of its proper divisors (243353265131020).

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

201002222110100 is a wasteful number, since it uses less digits than its factorization.

201002222110100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60512489 (or 60512482 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 201002222110100 its reverse (1011222200102), we get a palindrome (202013444310202).

The spelling of 201002222110100 in words is "two hundred one trillion, two billion, two hundred twenty-two million, one hundred ten thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 59 100 118 236 295 563 590 1126 1180 1475 2252 2815 2950 5630 5900 11260 14075 28150 33217 56300 66434 132868 166085 332170 664340 830425 1660850 3321700 60511853 121023706 242047412 302559265 605118530 1210237060 1512796325 3025592650 3570199327 6051185300 7140398654 14280797308 17850996635 34068173239 35701993270 68136346478 71403986540 89254983175 136272692956 170340866195 178509966350 340681732390 357019932700 681363464780 851704330975 1703408661950 2010022221101 3406817323900 4020044442202 8040088884404 10050111105505 20100222211010 40200444422020 50250555527525 100501111055050 201002222110100