Search a number
-
+
100110121222210 = 251117199569472793
BaseRepresentation
bin10110110000110010110100…
…001101101100000001000010
3111010110102201110211020021021
4112300302310031230001002
5101110201012013102320
6552525542122420054
730041501062114231
oct2660626415540102
9433412643736237
10100110121222210
1129997511623330
12b28a01906162a
1343b24617a7168
141aa14da14cb18
15b8916235edaa
hex5b0cb436c042

100110121222210 has 128 divisors (see below), whose sum is σ = 209557430208000. Its totient is φ = 34030130872320.

The previous prime is 100110121222201. The next prime is 100110121222219. The reversal of 100110121222210 is 12222121011001.

It is an interprime number because it is at equal distance from previous prime (100110121222201) and next prime (100110121222219).

It is a super-2 number, since 2×1001101212222102 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (100110121222219) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 211505574 + ... + 211978366.

It is an arithmetic number, because the mean of its divisors is an integer number (1637167423500).

Almost surely, 2100110121222210 is an apocalyptic number.

100110121222210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100110121222210 is an abundant number, since it is smaller than the sum of its proper divisors (109447308985790).

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

100110121222210 is a wasteful number, since it uses less digits than its factorization.

100110121222210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 473596.

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 100110121222210 its reverse (12222121011001), we get a palindrome (112332242233211).

The spelling of 100110121222210 in words is "one hundred trillion, one hundred ten billion, one hundred twenty-one million, two hundred twenty-two thousand, two hundred ten".

Divisors: 1 2 5 10 11 17 22 34 55 85 110 170 187 199 374 398 569 935 995 1138 1870 1990 2189 2845 3383 4378 5690 6259 6766 9673 10945 12518 16915 19346 21890 31295 33830 37213 48365 62590 74426 96730 106403 113231 186065 212806 226462 372130 472793 532015 566155 945586 1064030 1132310 1245541 1924927 2363965 2491082 3849854 4727930 5200723 6227705 8037481 9624635 10401446 12455410 16074962 19249270 21174197 26003615 40187405 42348394 52007230 80374810 88412291 94085807 105870985 176824582 188171614 211741970 269019217 442061455 470429035 538038434 884122910 940858070 1034943877 1345096085 1599458719 2069887754 2690192170 2959211387 3198917438 4573326689 5174719385 5918422774 7997293595 9146653378 10349438770 14796056935 15994587190 17594045909 22866633445 29592113870 35188091818 45733266890 50306593579 53534824183 87970229545 100613187158 107069648366 175940459090 251532967895 267674120915 503065935790 535348241830 588883066013 910092011111 1177766132026 1820184022222 2944415330065 4550460055555 5888830660130 9100920111110 10011012122221 20022024244442 50055060611105 100110121222210