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210102222201012 = 223229201247339273
BaseRepresentation
bin101111110001011000111100…
…010100100010000010110100
31000112220120120002222011100200
4233301120330110202002310
5210014303322340413022
62022503343423040500
762153245633233561
oct5761307424420264
91015816502864320
10210102222201012
1160a43941095a29
121b693275140130
13903072942c67b
1439c5004d8d868
151945393371bac
hexbf163c5220b4

210102222201012 has 36 divisors (see below), whose sum is σ = 549405236218020. Its totient is φ = 67619105995392.

The previous prime is 210102222200987. The next prime is 210102222201031.

It is a happy number.

210102222201012 is a `hidden beast` number, since 210 + 1 + 0 + 222 + 220 + 1 + 0 + 12 = 666.

210102222201012 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 150898523173776 + 59203699027236 = 12284076^2 + 7694394^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 100623668593 + ... + 100623670680.

Almost surely, 2210102222201012 is an apocalyptic number.

It is an amenable number.

210102222201012 is an abundant number, since it is smaller than the sum of its proper divisors (339303014017008).

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

210102222201012 is a wasteful number, since it uses less digits than its factorization.

210102222201012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201247339312 (or 201247339307 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The spelling of 210102222201012 in words is "two hundred ten trillion, one hundred two billion, two hundred twenty-two million, two hundred one thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 29 36 58 87 116 174 261 348 522 1044 201247339273 402494678546 603742017819 804989357092 1207484035638 1811226053457 2414968071276 3622452106914 5836172838917 7244904213828 11672345677834 17508518516751 23344691355668 35017037033502 52525555550253 70034074067004 105051111100506 210102222201012