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2120332312230 = 23511101157940289
BaseRepresentation
bin11110110110101101101…
…001110111111010100110
321111200221121022200010220
4132312231221313322212
5234214420032442410
64302022304025210
7306121545165546
oct36665551677246
97450847280126
102120332312230
1174825634a010
122a2b27002206
13124c3c550aa2
14748a5dbb326
153a24c226070
hex1edada77ea6

2120332312230 has 128 divisors (see below), whose sum is σ = 5610069849600. Its totient is φ = 508595712000.

The previous prime is 2120332312199. The next prime is 2120332312237. The reversal of 2120332312230 is 322132330212.

It is a super-2 number, since 2×21203323122302 (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2120332312230.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2120332312237) 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, 52607926 + ... + 52648214.

It is an arithmetic number, because the mean of its divisors is an integer number (43828670700).

Almost surely, 22120332312230 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2120332312230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2805034924800).

2120332312230 is an abundant number, since it is smaller than the sum of its proper divisors (3489737537370).

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

2120332312230 is a wasteful number, since it uses less digits than its factorization.

2120332312230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41990.

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 2120332312230 its reverse (322132330212), we get a palindrome (2442464642442).

The spelling of 2120332312230 in words is "two trillion, one hundred twenty billion, three hundred thirty-two million, three hundred twelve thousand, two hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 101 110 165 202 303 330 505 606 1010 1111 1515 1579 2222 3030 3158 3333 4737 5555 6666 7895 9474 11110 15790 16665 17369 23685 33330 34738 40289 47370 52107 80578 86845 104214 120867 159479 173690 201445 241734 260535 318958 402890 443179 478437 521070 604335 797395 886358 956874 1208670 1329537 1594790 1754269 2215895 2392185 2659074 3508538 4069189 4431790 4784370 5262807 6647685 8138378 8771345 10525614 12207567 13295370 17542690 20345945 24415134 26314035 40691890 44761079 52628070 61037835 63616331 89522158 122075670 127232662 134283237 190848993 223805395 268566474 318081655 381697986 447610790 636163310 671416185 699779641 954244965 1342832370 1399559282 1908489930 2099338923 3498898205 4198677846 6425249431 6997796410 10496694615 12850498862 19275748293 20993389230 32126247155 38551496586 64252494310 70677743741 96378741465 141355487482 192757482930 212033231223 353388718705 424066462446 706777437410 1060166156115 2120332312230