Search a number
-
+
100122111101210 = 251117232731852391
BaseRepresentation
bin10110110000111101111110…
…110111011100100100011010
3111010111120200001220012012212
4112300331332313130210122
5101110400040420214320
6552535243551235122
730042404151315542
oct2660757667344432
9433446601805185
10100122111101210
11299a16045a1940
12b290404518aa2
1343b3622807013
141aa1d16694322
15b89614c819c5
hex5b0f7eddc91a

100122111101210 has 128 divisors (see below), whose sum is σ = 217298915094528. Its totient is φ = 32764507776000.

The previous prime is 100122111101203. The next prime is 100122111101293. The reversal of 100122111101210 is 12101111221001.

It is a Curzon 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, 117034115 + ... + 117886505.

It is an arithmetic number, because the mean of its divisors is an integer number (1697647774176).

Almost surely, 2100122111101210 is an apocalyptic number.

100122111101210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100122111101210 is an abundant number, since it is smaller than the sum of its proper divisors (117176803993318).

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

100122111101210 is a wasteful number, since it uses less digits than its factorization.

100122111101210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 855180.

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 100122111101210 its reverse (12101111221001), we get a palindrome (112223222322211).

The spelling of 100122111101210 in words is "one hundred trillion, one hundred twenty-two billion, one hundred eleven million, one hundred one thousand, two hundred ten".

Divisors: 1 2 5 10 11 17 22 23 34 46 55 85 110 115 170 187 230 253 374 391 506 782 935 1265 1870 1955 2530 2731 3910 4301 5462 8602 13655 21505 27310 30041 43010 46427 60082 62813 92854 125626 150205 232135 300410 314065 464270 510697 628130 690943 852391 1021394 1067821 1381886 1704782 2135642 2553485 3454715 4261955 5106970 5339105 6909430 8523910 9376301 10678210 11746031 14490647 18752602 19604993 23492062 28981294 39209986 46881505 58730155 72453235 93763010 98024965 117460310 144906470 159397117 196049930 215654923 318794234 333284881 431309846 666569762 796985585 1078274615 1593971170 1666424405 2156549230 2327879821 3332848810 3666133691 4655759642 7332267382 11639399105 18330668455 23278798210 25606678031 36661336910 39573956957 51213356062 53541235883 79147913914 107082471766 128033390155 197869784785 256066780310 267706179415 395739569570 435313526527 535412358830 588953594713 870627053054 910201010011 1177907189426 1820402020022 2176567632635 2944767973565 4353135265270 4551005050055 5889535947130 9102010100110 10012211110121 20024422220242 50061055550605 100122111101210