Search a number
-
+
100022111112010 = 25671136617092819
BaseRepresentation
bin10110101111100000110110…
…011001110000101101001010
3111010011000112220021101210011
4112233200312121300231022
5101102230240421041020
6552421305024342134
730032234104403533
oct2657406631605512
9433130486241704
10100022111112010
112996315917396a
12b274b5677494a
1343a7076ccc489
141a9b14b63768a
15b86c10a4a35a
hex5af836670b4a

100022111112010 has 128 divisors (see below), whose sum is σ = 184948884230400. Its totient is φ = 38934995742720.

The previous prime is 100022111111999. The next prime is 100022111112017. The reversal of 100022111112010 is 10211111220001.

It is a happy number.

It is a super-2 number, since 2×1000221111120102 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (100022111112017) 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, 35481414381 + ... + 35481417199.

It is an arithmetic number, because the mean of its divisors is an integer number (1444913158050).

Almost surely, 2100022111112010 is an apocalyptic number.

100022111112010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100022111112010 is a deficient number, since it is larger than the sum of its proper divisors (84926773118390).

100022111112010 is a wasteful number, since it uses less digits than its factorization.

100022111112010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4376.

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 100022111112010 its reverse (10211111220001), we get a palindrome (110233222332011).

The spelling of 100022111112010 in words is "one hundred trillion, twenty-two billion, one hundred eleven million, one hundred twelve thousand, ten".

Divisors: 1 2 5 10 67 113 134 226 335 565 661 670 709 1130 1322 1418 2819 3305 3545 5638 6610 7090 7571 14095 15142 28190 37855 44287 47503 74693 75710 80117 88574 95006 149386 160234 188873 221435 237515 318547 373465 377746 400585 442870 468649 475030 637094 746930 801170 937298 944365 1592735 1863359 1888730 1998671 2343245 3185470 3726718 3997342 4686490 5004431 5367839 9316795 9993355 10008862 10735678 18633590 19986710 21342649 25022155 26839195 31399483 42685298 50044310 52957337 53678390 62798966 105914674 106713245 124845053 133910957 156997415 210559567 213426490 225849823 249690106 264786685 267821914 313994830 421119134 451699646 529573370 624225265 669554785 1052797835 1129249115 1248450530 1321121531 1339109570 2105595670 2258498230 2642243062 3548141579 6605607655 7096283158 13211215310 14107490989 15131938141 17740707895 28214981978 30263876282 35481415790 70537454945 75659690705 88515142577 141074909890 149286733003 151319381410 177030285154 298573466006 442575712885 746433665015 885151425770 1492867330030 10002211111201 20004422222402 50011055556005 100022111112010