Search a number
-
+
100220012121022 = 24727160115974099
BaseRepresentation
bin10110110010011001001010…
…001110001100101110111110
3111010211221100221221021221121
4112302121022032030232332
5101114001041100333042
6553052234334021154
730052441220255353
oct2662311216145676
9433757327837847
10100220012121022
1129a2a083126072
12b2a73873477ba
1343bc9254c4b41
141aa6962a5262a
15b8be44aa6367
hex5b264a38cbbe

100220012121022 has 64 divisors (see below), whose sum is σ = 154485783244800. Its totient is φ = 48739120416000.

The previous prime is 100220012121001. The next prime is 100220012121077. The reversal of 100220012121022 is 220121210022001.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 100220012120987 and 100220012121005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24449866729 + ... + 24449870827.

It is an arithmetic number, because the mean of its divisors is an integer number (2413840363200).

Almost surely, 2100220012121022 is an apocalyptic number.

100220012121022 is a deficient number, since it is larger than the sum of its proper divisors (54265771123778).

100220012121022 is a wasteful number, since it uses less digits than its factorization.

100220012121022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6617.

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 100220012121022 its reverse (220121210022001), we get a palindrome (320341222143023).

The spelling of 100220012121022 in words is "one hundred trillion, two hundred twenty billion, twelve million, one hundred twenty-one thousand, twenty-two".

Divisors: 1 2 47 94 271 542 601 1202 1597 3194 4099 8198 12737 25474 28247 56494 75059 150118 162871 192653 325742 385306 432787 865574 959797 1110829 1919594 2221658 2463499 4926998 6546103 7654937 13092206 15309874 20340989 40681978 45110459 52208963 90220918 104417926 115784453 231568906 260104987 307666841 520209974 615333682 667608229 1335216458 1773993913 3547987826 3934207903 7868415806 12224934389 24449868778 31377586763 62755173526 83377713911 166755427822 184907771441 369815542882 1066170341713 2132340683426 50110006060511 100220012121022