Search a number
-
+
101222021111220 = 22345439142329679
BaseRepresentation
bin10111000000111110010110…
…100111001001110110110100
3111021101201201200121222220000
4113000332112213021312310
5101231410144401024340
6555140430552111300
730215023021201602
oct2700762647116664
9437351650558800
10101222021111220
112a286022079039
12b42960a095530
134463270a64a79
141add259c14872
15ba803c8a8d30
hex5c0f969c9db4

101222021111220 has 120 divisors (see below), whose sum is σ = 318260550854400. Its totient is φ = 26931052352448.

The previous prime is 101222021111147. The next prime is 101222021111339. The reversal of 101222021111220 is 22111120222101.

101222021111220 is a `hidden beast` number, since 1 + 0 + 1 + 2 + 220 + 211 + 11 + 220 = 666.

101222021111220 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 101222021111193 and 101222021111202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 70453660 + ... + 71876019.

It is an arithmetic number, because the mean of its divisors is an integer number (2652171257120).

Almost surely, 2101222021111220 is an apocalyptic number.

101222021111220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101222021111220 is an abundant number, since it is smaller than the sum of its proper divisors (217038529743180).

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

101222021111220 is a wasteful number, since it uses less digits than its factorization.

101222021111220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142330139 (or 142330128 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 101222021111220 its reverse (22111120222101), we get a palindrome (123333141333321).

The spelling of 101222021111220 in words is "one hundred one trillion, two hundred twenty-two billion, twenty-one million, one hundred eleven thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 270 324 405 439 540 810 878 1317 1620 1756 2195 2634 3951 4390 5268 6585 7902 8780 11853 13170 15804 19755 23706 26340 35559 39510 47412 59265 71118 79020 118530 142236 177795 237060 355590 711180 142329679 284659358 426989037 569318716 711648395 853978074 1280967111 1423296790 1707956148 2134945185 2561934222 2846593580 3842901333 4269890370 5123868444 6404835555 7685802666 8539780740 11528703999 12809671110 15371605332 19214506665 23057407998 25619342220 38429013330 46114815996 57643519995 62482729081 76858026660 115287039990 124965458162 187448187243 230574079980 249930916324 312413645405 374896374486 562344561729 624827290810 749792748972 937240936215 1124689123458 1249654581620 1687033685187 1874481872430 2249378246916 2811722808645 3374067370374 3748963744860 5061101055561 5623445617290 6748134740748 8435168425935 10122202111122 11246891234580 16870336851870 20244404222244 25305505277805 33740673703740 50611010555610 101222021111220