Search a number
-
+
2002201202010 = 235536722982073
BaseRepresentation
bin11101001000101100011…
…111011100110101011010
321002102000211210111110110
4131020230133130311122
5230301002001431020
64131444252225150
7264440261261442
oct35105437346532
97072024714413
102002201202010
117021464214a9
1228405916b1b6
13116a645c6b79
146cc9ad61122
15371363858e0
hex1d22c7dcd5a

2002201202010 has 128 divisors (see below), whose sum is σ = 4990782055680. Its totient is φ = 513768093696.

The previous prime is 2002201202009. The next prime is 2002201202021. The reversal of 2002201202010 is 102021022002.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 24354334 + ... + 24436406.

It is an arithmetic number, because the mean of its divisors is an integer number (38990484810).

Almost surely, 22002201202010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2002201202010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2495391027840).

2002201202010 is an abundant number, since it is smaller than the sum of its proper divisors (2988580853670).

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

2002201202010 is a wasteful number, since it uses less digits than its factorization.

2002201202010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82432.

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 2002201202010 its reverse (102021022002), we get a palindrome (2104222224012).

The spelling of 2002201202010 in words is "two trillion, two billion, two hundred one million, two hundred two thousand, ten".

Divisors: 1 2 3 5 6 10 15 30 53 67 106 134 159 201 229 265 318 335 402 458 530 670 687 795 1005 1145 1374 1590 2010 2290 3435 3551 6870 7102 10653 12137 15343 17755 21306 24274 30686 35510 36411 46029 53265 60685 72822 76715 82073 92058 106530 121370 153430 164146 182055 230145 246219 364110 410365 460290 492438 813179 820730 1231095 1626358 2439537 2462190 4065895 4349869 4879074 5498891 8131790 8699738 10997782 12197685 13049607 16496673 18794717 21749345 24395370 26099214 27494455 32993346 37589434 43498690 54988910 56384151 65248035 82483365 93973585 112768302 130496070 164966730 187947170 281920755 291441223 563841510 582882446 874323669 996120001 1259246039 1457206115 1748647338 1992240002 2518492078 2914412230 2988360003 3777738117 4371618345 4980600005 5976720006 6296230195 7555476234 8743236690 9961200010 12592460390 14941800015 18888690585 29883600030 37777381170 66740040067 133480080134 200220120201 333700200335 400440240402 667400400670 1001100601005 2002201202010