Search a number
-
+
201012212219700 = 223527221116477641
BaseRepresentation
bin101101101101000111001101…
…100000010011111100110100
3222100201120122200111112002210
4231231013031200103330310
5202321341002312012300
61551303422510133420
760224440002240600
oct5555071540237464
9870646580445083
10201012212219700
11590598894696a2
121a66561b1b1270
1388214a766450b
14378d085d2c500
151838bc79e6050
hexb6d1cd813f34

201012212219700 has 216 divisors, whose sum is σ = 676870266530304. Its totient is φ = 45923876544000.

The previous prime is 201012212219699. The next prime is 201012212219717. The reversal of 201012212219700 is 7912212210102.

It is a super-2 number, since 2×2010122122197002 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 27792880 + ... + 34270520.

It is an arithmetic number, because the mean of its divisors is an integer number (3133658641344).

Almost surely, 2201012212219700 is an apocalyptic number.

201012212219700 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 201012212219700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (338435133265152).

201012212219700 is an abundant number, since it is smaller than the sum of its proper divisors (475858054310604).

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

201012212219700 is a wasteful number, since it uses less digits than its factorization.

201012212219700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6479783 (or 6479769 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 30.

Adding to 201012212219700 its reverse (7912212210102), we get a palindrome (208924424429802).

The spelling of 201012212219700 in words is "two hundred one trillion, twelve billion, two hundred twelve million, two hundred nineteen thousand, seven hundred".