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2012340150 = 23252172311437
BaseRepresentation
bin111011111110001…
…1101111110110110
312012020120110201200
41313330131332312
513110124341100
6531403233330
7100603415622
oct16774357666
95166513650
102012340150
11942a05a37
12481b18846
13260ba8122
1415138c182
15bb9ede00
hex77f1dfb6

2012340150 has 144 divisors (see below), whose sum is σ = 5973930144. Its totient is φ = 483056640.

The previous prime is 2012340137. The next prime is 2012340151. The reversal of 2012340150 is 510432102.

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 (2012340151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 170232 + ... + 181668.

It is an arithmetic number, because the mean of its divisors is an integer number (41485626).

Almost surely, 22012340150 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2012340150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2986965072).

2012340150 is an abundant number, since it is smaller than the sum of its proper divisors (3961589994).

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

2012340150 is a wasteful number, since it uses less digits than its factorization.

2012340150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11495 (or 11487 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 2012340150 is about 44859.1144584910. The cubic root of 2012340150 is about 1262.5070077708.

Adding to 2012340150 its reverse (510432102), we get a palindrome (2522772252).

The spelling of 2012340150 in words is "two billion, twelve million, three hundred forty thousand, one hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 17 18 23 25 30 34 45 46 50 51 69 75 85 90 102 115 138 150 153 170 207 225 230 255 306 345 391 414 425 450 510 575 690 765 782 850 1035 1150 1173 1275 1530 1725 1955 2070 2346 2550 3450 3519 3825 3910 5175 5865 7038 7650 9775 10350 11437 11730 17595 19550 22874 29325 34311 35190 57185 58650 68622 87975 102933 114370 171555 175950 194429 205866 263051 285925 343110 388858 514665 526102 571850 583287 789153 857775 972145 1029330 1166574 1315255 1578306 1715550 1749861 1944290 2367459 2573325 2630510 2916435 3499722 3945765 4471867 4734918 4860725 5146650 5832870 6576275 7891530 8749305 8943734 9721450 11837295 13152550 13415601 14582175 17498610 19728825 22359335 23674590 26831202 29164350 39457650 40246803 43746525 44718670 59186475 67078005 80493606 87493050 111796675 118372950 134156010 201234015 223593350 335390025 402468030 670780050 1006170075 2012340150