Search a number
-
+
2001201101172 = 22327131823335089
BaseRepresentation
bin11101000111110000111…
…000010111100101110100
321002022110010221010000200
4131013300320113211310
5230241424440214142
64131201124440500
7264403425460530
oct35076070274564
97068403833020
102001201101172
11701782939989
12283a1a249130
13116935352b20
146cc041c8bc0
15370c868464c
hex1d1f0e17974

2001201101172 has 144 divisors (see below), whose sum is σ = 6229392798720. Its totient is φ = 527498210304.

The previous prime is 2001201101171. The next prime is 2001201101173. The reversal of 2001201101172 is 2711011021002.

It is an interprime number because it is at equal distance from previous prime (2001201101171) and next prime (2001201101173).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2001201101171) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5804604 + ... + 6139692.

Almost surely, 22001201101172 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2001201101172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3114696399360).

2001201101172 is an abundant number, since it is smaller than the sum of its proper divisors (4228191697548).

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

2001201101172 is a wasteful number, since it uses less digits than its factorization.

2001201101172 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 336942 (or 336937 counting only the distinct ones).

The product of its (nonzero) digits is 56, while the sum is 18.

Adding to 2001201101172 its reverse (2711011021002), we get a palindrome (4712212122174).

The spelling of 2001201101172 in words is "two trillion, one billion, two hundred one million, one hundred one thousand, one hundred seventy-two".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 28 36 39 42 52 63 78 84 91 117 126 156 182 234 252 273 364 468 546 819 1092 1638 1823 3276 3646 5469 7292 10938 12761 16407 21876 23699 25522 32814 38283 47398 51044 65628 71097 76566 94796 114849 142194 153132 165893 213291 229698 284388 331786 335089 426582 459396 497679 663572 670178 853164 995358 1005267 1340356 1493037 1990716 2010534 2345623 2986074 3015801 4021068 4356157 4691246 5972148 6031602 7036869 8712314 9382492 12063204 13068471 14073738 17424628 21110607 26136942 28147476 30493099 39205413 42221214 52273884 60986198 78410826 84442428 91479297 121972396 156821652 182958594 274437891 365917188 548875782 610867247 1097751564 1221734494 1832601741 2443468988 3665203482 4276070729 5497805223 7330406964 7941274211 8552141458 10995610446 12828212187 15882548422 17104282916 21991220892 23823822633 25656424374 31765096844 38484636561 47647645266 51312848748 55588919477 71471467899 76969273122 95295290532 111177838954 142942935798 153938546244 166766758431 222355677908 285885871596 333533516862 500300275293 667067033724 1000600550586 2001201101172