Search a number
-
+
201203300031102 = 23319240970935593
BaseRepresentation
bin101101101111111001001011…
…001110011101101001111110
3222101101211212220221010012000
4231233321023032131221332
5202333003324301443402
61551531304153123130
760244313224652505
oct5557711316355176
9871354786833160
10201203300031102
1159122927565676
121a69666a0b94a6
13883650b46a0c5
14379841253583c
15183db5d836c1c
hexb6fe4b39da7e

201203300031102 has 192 divisors, whose sum is σ = 473723820648000. Its totient is φ = 63291359536128.

The previous prime is 201203300031077. The next prime is 201203300031113. The reversal of 201203300031102 is 201130003302102.

201203300031102 is a `hidden beast` number, since 2 + 0 + 1 + 20 + 330 + 0 + 0 + 311 + 0 + 2 = 666.

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 pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5652871818 + ... + 5652907410.

It is an arithmetic number, because the mean of its divisors is an integer number (2467311565875).

Almost surely, 2201203300031102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201203300031102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236861910324000).

201203300031102 is an abundant number, since it is smaller than the sum of its proper divisors (272520520616898).

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

201203300031102 is a wasteful number, since it uses less digits than its factorization.

201203300031102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36760 (or 36735 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 201203300031102 its reverse (201130003302102), we get a palindrome (402333303333204).

The spelling of 201203300031102 in words is "two hundred one trillion, two hundred three billion, three hundred million, thirty-one thousand, one hundred two".