Search a number
-
+
20121031210110 = 2355993732713709
BaseRepresentation
bin1001001001100110010101…
…11010101111010001111110
32122020112220021001000111020
410210303022322233101332
510114130332442210420
6110443250225005010
74144460624233515
oct444631272572176
978215807030436
1020121031210110
116458310622616
12230b710783766
13b2c536014cac
144d7c1251767c
1524d5da635340
hex124ccaeaf47e

20121031210110 has 128 divisors (see below), whose sum is σ = 49189656499200. Its totient is φ = 5266005488640.

The previous prime is 20121031210057. The next prime is 20121031210139. The reversal of 20121031210110 is 1101213012102.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 20121031210110.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5424918936 + ... + 5424922644.

It is an arithmetic number, because the mean of its divisors is an integer number (384294191400).

Almost surely, 220121031210110 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20121031210110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24594828249600).

20121031210110 is an abundant number, since it is smaller than the sum of its proper divisors (29068625289090).

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

20121031210110 is a wasteful number, since it uses less digits than its factorization.

20121031210110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7986.

The product of its (nonzero) digits is 24, while the sum is 15.

Adding to 20121031210110 its reverse (1101213012102), we get a palindrome (21222244222212).

The spelling of 20121031210110 in words is "twenty trillion, one hundred twenty-one billion, thirty-one million, two hundred ten thousand, one hundred ten".

Divisors: 1 2 3 5 6 10 15 30 59 118 177 295 354 590 885 937 1770 1874 2811 3271 3709 4685 5622 6542 7418 9370 9813 11127 14055 16355 18545 19626 22254 28110 32710 37090 49065 55283 55635 98130 110566 111270 165849 192989 218831 276415 331698 385978 437662 552830 578967 656493 829245 964945 1094155 1157934 1312986 1658490 1929890 2188310 2894835 3064927 3282465 3475333 5789670 6129854 6564930 6950666 9194781 10425999 12132139 15324635 17376665 18389562 20851998 24264278 30649270 34753330 36396417 45973905 52129995 60660695 72792834 91947810 104259990 121321390 180830693 181982085 205044647 361661386 363964170 410089294 542492079 615133941 715796201 904153465 1025223235 1084984158 1230267882 1431592402 1808306930 2050446470 2147388603 2712460395 3075669705 3578981005 4294777206 5424920790 6151339410 7157962010 10736943015 11367814243 21473886030 22735628486 34103442729 56839071215 68206885458 113678142430 170517213645 341034427290 670701040337 1341402080674 2012103121011 3353505201685 4024206242022 6707010403370 10060515605055 20121031210110