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2122031010 = 23511131191257
BaseRepresentation
bin111111001111011…
…1001111110100010
312110212222100022010
41332132321332202
513321214443020
6550322253350
7103404652221
oct17636717642
95425870263
102122031010
11999916340
124b27b7256
1327a832868
14161b82cb8
15c6469de0
hex7e7b9fa2

2122031010 has 128 divisors (see below), whose sum is σ = 5649481728. Its totient is φ = 505856000.

The previous prime is 2122030921. The next prime is 2122031011. The reversal of 2122031010 is 101302212.

It is not an unprimeable number, because it can be changed into a prime (2122031011) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8256802 + ... + 8257058.

It is an arithmetic number, because the mean of its divisors is an integer number (44136576).

Almost surely, 22122031010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2122031010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2824740864).

2122031010 is an abundant number, since it is smaller than the sum of its proper divisors (3527450718).

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

2122031010 is a wasteful number, since it uses less digits than its factorization.

2122031010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 600.

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 2122031010 is about 46065.5078122449. The cubic root of 2122031010 is about 1285.0417625856.

Adding to 2122031010 its reverse (101302212), we get a palindrome (2223333222).

The spelling of 2122031010 in words is "two billion, one hundred twenty-two million, thirty-one thousand, ten".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 110 131 165 191 257 262 330 382 393 514 573 655 771 786 955 1146 1285 1310 1441 1542 1910 1965 2101 2570 2827 2865 2882 3855 3930 4202 4323 5654 5730 6303 7205 7710 8481 8646 10505 12606 14135 14410 16962 21010 21615 25021 28270 31515 33667 42405 43230 49087 50042 63030 67334 75063 84810 98174 101001 125105 147261 150126 168335 202002 245435 250210 275231 294522 336670 370337 375315 490870 505005 539957 550462 736305 740674 750630 825693 1010010 1079914 1111011 1376155 1472610 1619871 1651386 1851685 2222022 2699785 2752310 3239742 3703370 4128465 5399570 5555055 6430397 8099355 8256930 11110110 12860794 16198710 19291191 32151985 38582382 64303970 70734367 96455955 141468734 192911910 212203101 353671835 424406202 707343670 1061015505 2122031010