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2010243132 = 2232179733863
BaseRepresentation
bin111011111010001…
…1110000000111100
312012002121221011100
41313310132000330
513104110240012
6531250253100
7100546533102
oct16764360074
95162557140
102010243132
11941803467
12481287190
132606227a1
14150da3c72
15bb7378dc
hex77d1e03c

2010243132 has 72 divisors (see below), whose sum is σ = 5435984736. Its totient is φ = 624144384.

The previous prime is 2010243119. The next prime is 2010243139. The reversal of 2010243132 is 2313420102.

2010243132 is a `hidden beast` number, since 201 + 0 + 2 + 431 + 32 = 666.

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 (2010243139) 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 23 ways as a sum of consecutive naturals, for example, 42433 + ... + 76295.

It is an arithmetic number, because the mean of its divisors is an integer number (75499788).

Almost surely, 22010243132 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 2010243132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2717992368).

2010243132 is an abundant number, since it is smaller than the sum of its proper divisors (3425741604).

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

2010243132 is a wasteful number, since it uses less digits than its factorization.

2010243132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33987 (or 33982 counting only the distinct ones).

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

The square root of 2010243132 is about 44835.7349889572. The cubic root of 2010243132 is about 1262.0683112134.

Adding to 2010243132 its reverse (2313420102), we get a palindrome (4323663234).

The spelling of 2010243132 in words is "two billion, ten million, two hundred forty-three thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 97 102 153 194 204 291 306 388 582 612 873 1164 1649 1746 3298 3492 4947 6596 9894 14841 19788 29682 33863 59364 67726 101589 135452 203178 304767 406356 575671 609534 1151342 1219068 1727013 2302684 3284711 3454026 5181039 6569422 6908052 9854133 10362078 13138844 19708266 20724156 29562399 39416532 55840087 59124798 111680174 118249596 167520261 223360348 335040522 502560783 670081044 1005121566 2010243132