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2010102012 = 2232617312539
BaseRepresentation
bin111011111001111…
…1011100011111100
312012002100202120200
41313303323203330
513104041231022
6531243243500
7100545404502
oct16763734374
95162322520
102010102012
11941717436
12481219590
132605a3499
14150d68672
15bb70abac
hex77cfb8fc

2010102012 has 72 divisors (see below), whose sum is σ = 5235550320. Its totient is φ = 649969920.

The previous prime is 2010102001. The next prime is 2010102019. The reversal of 2010102012 is 2102010102.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 2010101985 and 2010102003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2010102019) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 154039 + ... + 166577.

Almost surely, 22010102012 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 2010102012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2617775160).

2010102012 is an abundant number, since it is smaller than the sum of its proper divisors (3225448308).

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

2010102012 is a wasteful number, since it uses less digits than its factorization.

2010102012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12683 (or 12678 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 2010102012 is about 44834.1612166437. The cubic root of 2010102012 is about 1262.0387779288.

Adding to 2010102012 its reverse (2102010102), we get a palindrome (4112112114).

The spelling of 2010102012 in words is "two billion, ten million, one hundred two thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 36 61 73 122 146 183 219 244 292 366 438 549 657 732 876 1098 1314 2196 2628 4453 8906 12539 13359 17812 25078 26718 37617 40077 50156 53436 75234 80154 112851 150468 160308 225702 451404 764879 915347 1529758 1830694 2294637 2746041 3059516 3661388 4589274 5492082 6883911 8238123 9178548 10984164 13767822 16476246 27535644 32952492 55836167 111672334 167508501 223344668 335017002 502525503 670034004 1005051006 2010102012