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200133332124 = 223112417518377
BaseRepresentation
bin1011101001100011100…
…0000100110010011100
3201010120122011122210020
42322120320010302130
511234333113111444
6231535011512140
720313330153255
oct2723070046234
9633518148706
10200133332124
1177970059640
12329542b8650
1315b45b3351b
149987aabb2c
155315010119
hex2e98e04c9c

200133332124 has 96 divisors (see below), whose sum is σ = 512286415872. Its totient is φ = 60307200000.

The previous prime is 200133332123. The next prime is 200133332137. The reversal of 200133332124 is 421233331002.

200133332124 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 200133332094 and 200133332103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200133332123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23886624 + ... + 23895000.

It is an arithmetic number, because the mean of its divisors is an integer number (5336316832).

Almost surely, 2200133332124 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 200133332124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256143207936).

200133332124 is an abundant number, since it is smaller than the sum of its proper divisors (312153083748).

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

200133332124 is a wasteful number, since it uses less digits than its factorization.

200133332124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9387 (or 9385 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 200133332124 its reverse (421233331002), we get a palindrome (621366663126).

The spelling of 200133332124 in words is "two hundred billion, one hundred thirty-three million, three hundred thirty-two thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 241 482 723 751 964 1446 1502 2253 2651 2892 3004 4506 5302 7953 8261 8377 9012 10604 15906 16522 16754 24783 25131 31812 33044 33508 49566 50262 92147 99132 100524 180991 184294 276441 361982 368588 542973 552882 723964 1085946 1105764 1990901 2018857 2171892 3981802 4037714 5972703 6056571 6291127 7963604 8075428 11945406 12113142 12582254 18873381 22207427 23890812 24226284 25164508 37746762 44414854 66622281 69202397 75493524 88829708 133244562 138404794 207607191 266489124 276809588 415214382 830428764 1516161607 3032323214 4548484821 6064646428 9096969642 16677777677 18193939284 33355555354 50033333031 66711110708 100066666062 200133332124