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2010133104 = 243754710937
BaseRepresentation
bin111011111010000…
…0011001001110000
312012002102100020020
41313310003021300
513104043224404
6531244043440
7100545564240
oct16764031160
95162370206
102010133104
11941738831
12481233580
132605b4695
14150d75b20
15bb714ed9
hex77d03270

2010133104 has 80 divisors (see below), whose sum is σ = 5946071808. Its totient is φ = 573221376.

The previous prime is 2010133051. The next prime is 2010133109. The reversal of 2010133104 is 4013310102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2010133109) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 178324 + ... + 189260.

Almost surely, 22010133104 is an apocalyptic number.

2010133104 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 2010133104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2973035904).

2010133104 is an abundant number, since it is smaller than the sum of its proper divisors (3935938704).

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

2010133104 is a wasteful number, since it uses less digits than its factorization.

2010133104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11502 (or 11496 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 2010133104 is about 44834.5079598293. The cubic root of 2010133104 is about 1262.0452849132.

Adding to 2010133104 its reverse (4013310102), we get a palindrome (6023443206).

The spelling of 2010133104 in words is "two billion, ten million, one hundred thirty-three thousand, one hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 547 1094 1641 2188 3282 3829 4376 6564 7658 8752 10937 11487 13128 15316 21874 22974 26256 30632 32811 43748 45948 61264 65622 76559 87496 91896 131244 153118 174992 183792 229677 262488 306236 459354 524976 612472 918708 1224944 1837416 3674832 5982539 11965078 17947617 23930156 35895234 41877773 47860312 71790468 83755546 95720624 125633319 143580936 167511092 251266638 287161872 335022184 502533276 670044368 1005066552 2010133104