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201000112132311 = 3517719337320063
BaseRepresentation
bin101101101100111011111100…
…010010001001000011010111
3222100200102102102001101200000
4231230323330102021003113
5202321141212201213221
61551254102103222343
760223531104216102
oct5554737422110327
9870612372041600
10201000112132311
115905473a266978
121a663202a479b3
1388202c98584ab
14378c658cd9739
15183871a5a4e26
hexb6cefc4890d7

201000112132311 has 96 divisors (see below), whose sum is σ = 319351516323840. Its totient is φ = 125898696451584.

The previous prime is 201000112132301. The next prime is 201000112132319. The reversal of 201000112132311 is 113231211000102.

201000112132311 is a `hidden beast` number, since 201 + 0 + 0 + 0 + 1 + 121 + 32 + 311 = 666.

It is not a de Polignac number, because 201000112132311 - 221 = 201000110035159 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201000112132319) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10018437466 + ... + 10018457528.

It is an arithmetic number, because the mean of its divisors is an integer number (3326578295040).

Almost surely, 2201000112132311 is an apocalyptic number.

201000112132311 is a deficient number, since it is larger than the sum of its proper divisors (118351404191529).

201000112132311 is a wasteful number, since it uses less digits than its factorization.

201000112132311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24187 (or 24175 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 201000112132311 its reverse (113231211000102), we get a palindrome (314231323132413).

The spelling of 201000112132311 in words is "two hundred one trillion, one hundred twelve million, one hundred thirty-two thousand, three hundred eleven".

Divisors: 1 3 9 17 27 51 81 153 243 459 719 1377 2157 3373 4131 6471 10119 12223 19413 20063 30357 36669 57341 58239 60189 91071 110007 172023 174717 180567 273213 330021 341071 516069 541701 819639 990063 1023213 1548207 1625103 2425187 2970189 3069639 4644621 4875309 7275561 9208917 13933863 14425297 21826683 27626751 41228179 43275891 65480049 67672499 82880253 123684537 129827673 196440147 203017497 245230049 371053611 389483019 589320441 609052491 735690147 1113160833 1150432483 1168449057 1827157473 2207070441 3339482499 3451297449 3505347171 5481472419 6621211323 10018447497 10353892347 16444417257 19863633969 31061677041 48656526781 59590901907 93185031123 145969580343 279555093369 437908741029 827160955277 1313726223087 2481482865831 3941178669261 7444448597493 11823536007783 22333345792479 67000037377437 201000112132311