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2033122104 = 23321331411709
BaseRepresentation
bin111100100101110…
…1111101100111000
312020200200022012200
41321023233230320
513130434401404
6533424510200
7101245152456
oct17113575470
95220608180
102033122104
1195370a802
12488a7b360
132652a3440
1415403b9d6
15bd756839
hex792efb38

2033122104 has 192 divisors, whose sum is σ = 6274195200. Its totient is φ = 590284800.

The previous prime is 2033122081. The next prime is 2033122109. The reversal of 2033122104 is 4012213302.

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 (2033122109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1188802 + ... + 1190510.

It is an arithmetic number, because the mean of its divisors is an integer number (32678100).

Almost surely, 22033122104 is an apocalyptic number.

2033122104 is a gapful number since it is divisible by the number (24) 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 2033122104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3137097600).

2033122104 is an abundant number, since it is smaller than the sum of its proper divisors (4241073096).

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

2033122104 is a wasteful number, since it uses less digits than its factorization.

2033122104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1806 (or 1799 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 2033122104 is about 45090.1552891538. The cubic root of 2033122104 is about 1266.8382101311.

Adding to 2033122104 its reverse (4012213302), we get a palindrome (6045335406).

The spelling of 2033122104 in words is "two billion, thirty-three million, one hundred twenty-two thousand, one hundred four".